Enrique Zuazua
Publications
2022
C. Zhang, E. Zuazua.
A quantitative analysis of Koopman operator methods for system identification and predictions (2022)
C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua.
The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation
H. Zhong-Jie, E.Zuazua.
Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems (2022) SIAM J. Control Optim.
D.W.M. Veldman, E. Zuazua.
A framework for randomized time-splitting in linear-quadratic optimal control (2022) Numerische Mathematik. DOI: https://doi.org/10.1007/s00211-022-01290-3
E. Trélat, E. Zuazua. Numerical Control: Part A First Edition (2022), Elsevier Science & Technology. Handbook of Numerical Analysis XXIII, Vol. 23, p. 1-558, eBook ISBN: 9780323853392, Hardcover ISBN: 9780323850599
Mazari I., Ruiz-Balet D., Zuazua E.
Constrained control of gene-flow models. (2022) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩
F. Glang, Moritz Fabian, A. German, Katrin M Khakzar, A. Mennecke, A. Liebert, K. Herz, P. Liebig, B. Kasper, Manuel Schmidt, E. Zuazua, A. Nagel, F. Laun, A. Dörfler, K. Scheffler, M. Zaiss
Linear projection-based CEST parameter estimation. NMR in Biomedicine (2022) DOI:10.1002/nbm.4697
D. Ruiz-Balet, E. Affili, E. Zuazua.
Interpolation and approximation via Momentum ResNets and Neural ODEs (2022) IEEE Control Syst. Lett. Vol. 162, ISSN 0167-6911, https://doi.org/10.1016/j.sysconle.2022.105182
C. Esteve, E. Zuazua.
Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws (2022)
C. Esteve, G. Geshkovski G, D. Pighin, E. Zuazua.
Turnpike in Lipschitz-nonlinear optimal control . Nonlinearity (2022) Vol 5, No. 34, pp. 1652-1701 https://doi.org/10.1088/1361-6544/ac4e61
S. Jin, Y. Zhu, E. Zuazua.
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term . Numer. Math. 150, 479–519 (2022) https://doi.org/10.1007/s00211-021-01257-w
T. Liard, E. Zuazua
T. Liard, E. Zuazua. Analysis and numerical solvability of backward-forward conservation laws (2022)
B. Geshkovski, E. Zuazua.
Turnpike in Control of PDEs, ResNets, and beyond (2022)
U. Biccari, Y. Song, X. Yuan, E. Zuazua.
A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation (2022)
M. Lazar, E. Zuazua.
Greedy search of optimal approximate solutions (2022)
U. Biccari, M. Warma, E. Zuazua.
Control and Numerical approximation of Fractional Diffusion Equations. Handb. Numer. Anal. Elsevier (2022) ISSN:1570-8659, DOI: https://doi.org/10.1016/bs.hna.2021.12.001
Y. Sarac, E. Zuazua.
Sidewise control of 1-d waves . J Optim Theory Appl (2022). https://doi.org/10.1007/s10957-021-01986-w
G. Wang, Y. Zhang, E. Zuazua.
Flow decomposition for heat equations with memory. J. Math. Pures Appl (2022) Vol. 158, pp 183-215, ISSN:0021-7824. https://doi.org/10.1016/j.matpur.2021.11.005
2021
J. Heiland, E. Zuazua.
Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems (2021) SIAM J. Control Optim, Vol. 59, No. 5, pp. 3600-3624, arXiv:2007.13621, doi: 10.1137/20M1356105
U. Biccari, E. Zuazua.
Multilevel selective harmonic modulation by duality (2021)
N. Sakamoto, E. Zuazua.
The turnpike property in nonlinear optimal control - A geometric approach . Automatica, Vol. 134, https://doi.org/10.1016/j.automatica.2021.109939
J.A. Bárcena, E. Zuazua.
Averaged dynamics and control for heat equations with random diffusion (2021) Syst. Control. Lett. Vol. 158. https://doi.org/10.1016/j.sysconle.2021.105055
C. Esteve, E. Zuazua.
Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2021).
G. Buttazzo, E. Casas, L. de Teresa, R. Glowinski, G. Leugering, E. Trélat and X. Zhang (eds.)
Special issue in the honor of Enrique Zuazua’s 60th birthday (2021) ESAIM – Control Optim. Calc. Var.
Special Issue Dedicated to Enrique Zuazua on the Occasion of his 60th Birthday (2021) Vietnam J. Math.
U. Biccari, E. Zuazua.
Multilevel control by duality (2021)
D. Ko, E. Zuazua.
Model predictive control with random batch methods for a guiding problem. Math. Models Methods Appl. Sci. Vol. 31, No. 8, pp. 1569-1592. (2021) DOI: https://doi.org/10.1142/S0218202521500329
B. Geshkovski, E.Zuazua. Optimal actuator design via Brunovsky’s normal form (2021)
T. Liard, E. Zuazua.
Initial data identification for the one-dimensional Burgers equation (2021) IEEE T Automat. Contr. DOI: 10.1109/TAC.2021.3096921
J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, E. Zuazua. Control of Hyperbolic and Parabolic Equations on Networks and Singular limits (2021)
B. Geshkovski, E. Zuazua.
Controllability of one-dimensional viscous free boundary flows.
Siam. J. Control. Optim (2021), Vol. 59, No. 3, pp. 1830–1850. https://doi.org/10.1137/19M1285354
D. Ruiz-Balet, E. Zuazua.
Neural ODE Control for Classification, Approximation and Transport
(2021)
M. Gugat, M. Schuster, E. Zuazua.
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms . In "Stabilization of Distributed Parameter Systems: Design Methods and Applications" (2021) Grigory Sklyar Alexander Zuyev Eds., ICIAM 2019 SEMA SIMAI Springer Series 2, p. 17-42. ISSN 2199-3041. DOI: 10.1007/978-3-030-61742-4_2
J. Lohéac, E. Trélat, E. Zuazua.
Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An. (2020)
B. Geshkovski, E. Zuazua.
Control and Deep Learning: Some connections
(2021)
G. Wang, Y. Zhang, E. Zuazua.
Reachable subspaces, control regions and heat equations with memory
(2021)
2020
T. Liard, E. Zuazua.Analysis and numerics solvability of backward-forward conservation laws (2020)
C. Esteve, G. Geshkovski G, D. Pighin, E. Zuazua.
Turnpike in Lipschitz-nonlinear optimal control (2020)
C. Esteve, E. Zuazua.
The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes. SIAM J. Math. Anal., Vol. 52, No. 6, pp. 5627–5657 (2020).
https://doi.org/10.1137/20M1330130
D. Ruiz-Balet, E. Zuazua.
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations . Journal de Mathématiques pures et appliqué. J. Math. Pures Appl, vol. 143, pp. 345-375 (2020).
https://doi.org/10.1016/j.matpur.2020.08.006
A. Monge, E. Zuazua.
Sparse source identification of linear diffusion–advection equations by adjoint methods. Syst. Control. Lett Syst. Control. Lett, vol. 145 (2020).
DOI: https://doi.org/10.1016/j.sysconle.2020.104801
D. Maity, M. Tucsnak, E. Zuazua.
Controllability of a Class of Infinite Dimensional Systems with Age Structure. Control Cybern. Vol. 48(2) (2020), pp. 231-260
hal-01964612v2
G. Lance, E. Trélat, E. Zuazua.
Shape turnpike for linear parabolic PDE models . Syst. Control. Lett. Vol. 142 (2020)
J.-C. Cortes, A. Navarro-Quiles, J.-V. Romero, M.-D. Rosello, E. Zuazua.
Full probabilistic solution of a infinite dimensional linear control system with random initial and final conditions. J. Franklin I. (2020) DOI: 10.1016/j.jfranklin.2020.06.005
N. Sakamoto, D. Pighin, E. Zuazua.
The turnpike property in nonlinear optimal control - A geometric approach . IEEE 58th Conference on Decision and Control (CDC) (2020). DOI: 10.1109/CDC40024.2019.9028863
U. Biccari, E. Zuazua.
A stochastic approach to the synchronization of coupled oscillators . Frontiers in Energy Research, section Smart Grids. Front. Energy Res. Vol. 8 (2020). DOI: 10.3389/fenrg.2020.00115
V. Hernandez-Santamaria, E. Zuazua.
Controllability of shadow reaction-diffusion systems. J. Differential Equations, 268 (2020) 3781-3818. https://dx.doi.org/10.1016/j.jde.2019.10.012
U. Biccari, A. Marica, E. Zuazua.
Propagation of one and two dimensional discrete waves under finite difference approximation , FoCM, Published online 28.01.2020, DOI 10.1007/s10208-020-09445-0
U. Biccari, M. Warma, E. Zuazua.
Controllability of the one-dimensional fractional heat equation under positivity constraints in "Dynamics of deterministic and random systems" , Communications on Pure Applied Analysis (CPAA), 2020, 19(4): 1949-1978 doi: 10.3934/cpaa.2020086
C. Esteve, B. Geshkovski, D. Pighin, E. Zuazua.
Large-time asymptotics in deep learning (2020) ,
hal-02912516
D. Ko, E. Zuazua.
Asymptotic behavior and control of a "guidance by repulsion" model . M3AS (2020)
E. Zuazua.
Asymptotic behavior of scalar convection-diffusion equations (2020)
D. Ruiz-Balet, E. Zuazua.
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations . Journal de Mathématiques pures et appliqué. (2020)
D. Ruiz-Balet, E. Zuazua.
Control of certain parabolic models from biology and social sciences (2020)
U. Biccari, A. Navarro-Quiles, E. Zuazua.
Stochastic optimization methods for the simultaneous control of parameter-dependent systems (2020)
2019
J. Lohéac, E. Trélat, E. Zuazua. Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An. (2020)
G. Lance, E. Trélat, E. Zuazua. Turnpike in optimal shape design IFAC-PAPERSONLINE. (ISSN: 24058963). 52(16): 496-501. DOI: 10.1137/17M1119160
D. Maity, M. Tucsnak, E. Zuazua. Controllability and Positivity Constraints in Population Dynamics with Age Structuring and Diffusion , JMPA., Volume 129, September 2019, Pages 153-179. hal-01764865
V. Hernandez-Santamaria, M. Lazar, E. Zuazua. Greedy optimal control for elliptic problems and its application to turnpike problems . Numer Math. Vol. 141, No. 2 (2018), pp. 455–493 DOI: 10.1007/s00211-018-1005-z, https://link.springer.com/content/pdf/10.1007
C. Pouchol, E. Trélat, E. Zuazua.
R. Bianchini, L. Gosse. A two-dimensional 'flea on the elephant' phenomenon and its numerical visualization , SIAM MULTISCALE MODEL. SIMUL., Vol. 17, No. 1, pp. 137{166, 2019. URL: http://epubs.siam.org/toc/mmsubt/17/1, DOI: 10.1137/18M1179985, hal-01935261
P. Lissy, E. Zuazua. Internal observability for coupled systems of linear partial differential equations , SIAM J. Cont. Optim., SIAM J. Control Optim. 57-2 (2019), pp. 810-831
U. Biccari, D. Ko, E. Zuazua. Dynamics and control for multi-agent networked systems: a finite difference PDE approach , M3AS, Vol. 29, No. 4 (2019) 755-790
D. Pighin, E. Zuazua. Controllability under positivity constraints of multi-d wave equations. In "Trends in Control Theory and Partial Differential Equations", Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta and Carlo Sinestrari, eds, Special issue in honor of P. M. Cannarsa 60, Springer, 2019, 195-232. ISBN 978-3-030-17949-6. https://www.springer.com/gp/book/9783030179489
Y. Privat, E. Trélat, E, Zuazua. Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Calc. Var. Partial Differential Equations. 58 (2019), no. 2, Art. 64, 45 pp.
M. Morales, E. Zuazua. Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Comp. Appl. Math. (2019) 38:168
D. Ruiz-Balet, E. Zuazua. A parabolic approach to the control of opinion spreading. Applied Wave Mathematics II, Selected Topics in Fluids, Solids, and Mathematical Methods and Complexity, Springer, Estonian Academy of Sciences ed., pp. 343-363, 2019
U. Biccari, N. Sakamoto, E. Unamuno, D. Madariaga, E. Zuazua, J.A. Barrena. Model reduction of converter-dominated power systems by Singular Perturbation Theory (2019)
T. Liard, E. Zuazua. Inverse design for the one-dimensional Burgers equation (2019)
G. Lance, E. Trélat, E. Zuazua. Turnpike in optimal shape design for heat equation
2018
U. Biccari, M. Warma, E. Zuazua. Local regularity for fractional heat equations . A. Doubova et al. (eds.), Recent Advances in PDEs: Analysis, Numerics and Control, SEMA SIMAI Springer Series 17, 2018. DOI: 10.1007/978-3-319-97613-612
P. Lissy, E. Zuazua. Internal controllability for parabolic systems involving analytic non-local terms . Special issue in honor of Ph. Ciarlet 80, Chin. Ann. Math. Ser. B 39 (2), (2018), 281-296. DOI: DOI: 10.1007/s11401-018-1064-6. hal-01574999
E. Trélat, C. Zhang, E. Zuazua. Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces , SIAM J. Control Optim. 56 (2018), no. 2, 1222{1252. DOI: 10.1137/16M1097638
E. Trélat, J. Zhu, E. Zuazua. Allee optimal control of a system in ecology, Mathematical Models and Methods in Applied Sciences , Vol. 28, No. 9 (2018) 1665-1697. DOI: 10.1142/S021820251840002X (hal-01696354)
D. Pighin , E. Zuazua. Controllability under positivity constraints of semilinear heat equations , MCRF, 8 (34), September December 2018 pp. 935-964. doi:10.3934/mcrf.2018041. https://hal.archives-ouvertes.fr/hal-01643062
J. Lohéac, E. Trélat, E. Zuazua. Minimal controllability time finite-dimensional control systems under state constraints , Automatica 96 (2018) 380-392
L.A. Fernández, M. Mateos, C. Pola, F. Tröltzsch, E. Zuazua. Preface: A tribute to professor Eduardo Casas on his 60th birthday . Math. Control. Relat F. Vol. 8, No. 1 (2018) DOI: 10.3934/mcrf.201801i
2017
J. Lohéac, E. Zuazua. Averaged controllability of parameter dependent conservative semigroups , J. Differ. Equations, 262 (3) (2017), 1540-1574
Q. Lu, X. Zhang, E. Zuazua. Null Controllability for Wave Equations with Memory , J. Math. Pures Appl. 108 (2017) 500-531. DOI: 10.1016/j.matpur.2017.05.001 (https://arxiv.org/pdf/1507.02359.pdf)
Y. Privat, E. Trélat, E. Zuazua. Actuator design for parabolic distributed parameter systems with the moment method , SIAM J. Cont. Optim., Vol. 55, No. 2, pp. 1128-1152, 2017
L. Gosse, E. Zuazua. Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation . Innovative Algorithms and Analysis. Gosse, Laurent, Natalini, Roberto (Eds.), Springer INdAM Series 16, 2017, 197-228
J. Lohéac, E. Trélat, E. Zuazua. Minimal controllability time for the heat equation under unilateral state or control constraints . Math. Models Methods Appl. Sci. 27 (2017), no. 9, 1587-1644. https://hal.archives-ouvertes.fr/hal-01457931
F. Chaves-Silva, X. Zhang y E. Zuazua. Controllability of evolution equations with memory , SIAM J. Cont. Optim., Vol. 55, No. 4 (2017) pp. 2437-2459, http://epubs.siam.org/toc/sjcodc/55/4, DOI: 10.1137/151004239
U. Biccari, M.Warma, E. Zuazua. Local elliptic regularity for the Dirichlet fractional Laplacian , Advanced Nonlinear Studies, 17 (2017), 387-409. Addendum: Local Elliptic Regularity For The Dirichlet Fractional Laplacian, Vol. 17, Nr. 4 (2017), pp. 837 - 839. 10.1515/ans-2017-6020
Z. Han, E. Zuazua. Decay rates for elastic-thermoelastic star-shaped networks . Networks and Heterogeneous Media, American Institute of Mathematical Sciences, Volume 12, Number 3, September 2017 pp. 461-488
E. Zuazua. Large time control and turnpike properties for wave equations , Annual Reviews in Control, 44 (2017) 199-210, 10.1016/j.arcontrol.2017.04.002
E. Trélat, C. Zhang, E. Zuazua. Optimal shape design for 2D heat equations in large time . Pure Applied Funct. Anal. 3 (2018), no. 1, 255-269
2016
Y. Privat, E. Trélat, E. Zuazua. Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains , J. Eur. Math. Soc. 18, (2016), 10431111. DOI 10.4171/JEMS/608
J. Lohéac, E. Zuazua. Norm saturating property of time optimal controls for wave-type equations . IFAC-PapersOnLine, Vol. 49, No.8 (2016), pp. 37-42. DOI: 10.1016/j.ifacol.2016.07.415
R. Lecarós, E. Zuazua. Control of 2D scalar conservation laws in the presence of shocks , Mathematics of Computation, Volume 85, Number 299, May 2016, Pages 1183-1224 http://dx.doi.org/10.1090/mcom/3015
C. N. Beli, L. I. Ignat, E. Zuazua. Dispersion for 1-D Schrödinger and wave equations with BV coeficients , Ann. I. H. Poincaré-An, Vol. 33 (2016) pp. 1473-1495. DOI:10.1016/j.anihpc.2015.06.002
N. Allahverdi, A. Pozo, E. Zuazua. Numerical aspects of sonic-boom minimization , Contemporary Mathematics, 658 (2016), 267-279
S. Ervedoza, A. Marica, E. Zuazua. Numerical meshes ensuring uniform observability of 1d waves: construction and analysis . IMA J. Numer. Anal. 36 (2016), no. 2, 503-542. doi:10.1093/imanum/drv026
Q. Lu, E. Zuazua. Averaged controllability for Random Evolution Partial Differential Equations , J. Math. Pures Appl. 105 (2016) 367-414
N. Allahverdi, A. Pozo, E. Zuazua. Numerical aspects of large-time optimal control of Burgers equation , ESAIM: M2AN, 50 5 (2016) 1371-1401. DOI: 10.1051/m2an/2015076
A. Porretta, E. Zuazua. Remarks on long time versus steady state optimal control , Springer INdAM Series. Mathematical Paradigms of Climate Science", F. Ancona, P. Cannarsa, Ch. Jones, A. Portaluri, 15, 2016, 67-89. ISBN: 978-3-319-39091-8 (Print) 978-3-319-39092-5 (Online)
M. Gugat, E. Zuazua. Exact penalization of terminal constraints for optimal control problems , Optim. Control Appl. Meth. 37 (6)(2016), 1329?1354. DOI: 10.1002/oca.2238
Y. Privat, E. Trélat, E. Zuazua. Randomised observation, control and stabilization of waves , ZAMM Z. Angew. Math. Mech. 96 (2016), 5, 538-549. DOI 10.1002/zamm.201500181
Q. Lu, E. Zuazua. On the lack of controllability of fractional in time ODE and PDE, Mathematics of Control , Signals, and Systems, (2016), no. 2, 28:10. doi 10.1007/s00498-016-0162-9
M. Gugat, E. Trélat, E. Zuazua. Optimal Neumann control for the 1-d wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property , Systems and Control Letters, 90 (2016), 61-70. DOI: 10.1016/j.sysconle.2016.02.001
R. Escobedo, A. Ibanez and E. Zuazua. Optimal strategies for driving a mobile agent in a guidance by repulsion model , Communications in Nonlinear Science and Numerical Simulation, 39 (2016), 58-72. DOI: 10.1016/j.cnsns.2016.02.017
E. Zuazua. Stable observation of additive superpositions of Partial Differential Equations , Systems and Control Letters, 93 (2016), 21-29
J. Lohéac, E. Zuazua. From averaged to simultaneous controllability of parameter dependent finite-dimensional systems , Annales de la Faculté des Sciences de Toulouse, Vol. 25 (2016), No. 4, pp. 785-828
A. Porretta, E. Zuazua. Numerical hypocoercivity for the Kolmogorov equation . Mathematics of Computation. AMS, Volume 86, Number 303, January 2017, Pages 97119 DOI: dx.doi.org/10.1090/mcom/3157
E. Fernández-Cara, Q. Lü, E. Zuazua. Null controllability of linear heat and wave equations with nonlocal in space terms , SIAM J. CONTROL OPTIM. 2016, Vol. 54, No. 4, pp. 20092019, URL: http://epubs.siam.org/toc/sjcodc/54/4. DOI: 10.1137/15M1044291
U. Biccari, E. Zuazua. Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function , JDE. 261 (2016) 2809-2853. DOI: dx.doi.org/10.1016/j.jde.2016.05.019
Z.-J. Han, E. Zuazua. Decay rates for 1-d heat-wave planar networks , Networks and Heterogeneous Media. Volume 11, Number 4, December 2016, pp.655692, doi:10.3934/nhm.2016013
M. Lazar, E. Zuazua. Greedy controllability of finite dimensional linear systems , Automatica 74 (2016) 327-340. DOI: 10.1016/j.automatica.2016.08.010
M. Choulli, E. Zuazua. Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems , C. R. Acad. Sci. Paris, Ser I 354 (2016) 1174-1187
2015
V. Lescarret, E. Zuazua. Numerical approximation schemes for multidimensional wave equations in asymmetric spaces, Mathematics of Computation, Volume 84, Number 291, January 2015, Pages 119-152, S 0025-5718(2014)02887-1
F. Fanelli, E. Zuazua. Weak observability estimates for 1-D wave equations with rough coeficients , Ann. I.H.Poincaré, AN, 32 (2015) 245-277. DOI: 10.1016/j.anihpc.2013.10.004
L. Ignat, A. Pozo, E. Zuazua. Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws , Math of Computation, 84(294), July 2015, pp. 1633-1662. S0025-5718-2014-02915-3
Y. Privat, E. Trélat, E. Zuazua. Complexity and regularity of maximal energy domains for the wave equation with fixed initial data , Discrete and Continuous Dynamical Systems, 35, Number 12, December 2015 pp. 6133-6153 [doi:10.3934/dcds.2015.35.6133 ]
A. Marica, E. Zuazua. Propagation of 1-D waves in regular discrete heterogeneous media: A Wigner measure approach , Found. Comput. Math. (2015) 15:1571-1636, 10.1007/s10208-014-9232-x
S. Ervedoza, E. Zuazua. Transmutation techniques and observability for timediscrete approximation schemes of conservative systems , Numerische Mathematik, 130 (2015), no. 3, 425?466. DOI 10.1007/s00211-014-0668-3
E. Trélat, E. Zuazua. The turnpike property infinite-dimensional nonlinear optimal control , JDE, 218 (2015) , 81-114<. DOI 10.1016/j.jde.2014.09.005/li>
Y. Privat, E. Trélat, E. Zuazua. Optimal shape and location of sensors for parabolic equations with random initial data , Archives Rat. Mech. Anal., 216 (2015) 921-981. DOI: 10.1007/s00205-014-0823-0
H. Nersisyan, D. Dutykh, E. Zuazua. Generation of two-dimensional water waves by moving bottom disturbances , IMA J. Appl. Math., (2015) 80, 12351253. DOI:10.1093/imamat/hxu051
E. Casas, B. Vexler, E. Zuazua. Sparse initial data identification for parabolic PDE and its finite element approximations , Mathematical Control and Related Fields, 5 (3), (2015), 377{399. DOI:10.3934/mcrf.2015.5.377
E. Zuazua. Numerics for the Control of Partial Differential Equations, Encyclopedia of Applied and Computational Mathematics , Springer-Verlag Berlin Heidelberg 2015, B. Engquist (ed.), pp. 1076-1079. DOI 10.1007/978-3-540-70529-1
2014
F. Chaves, L. Rosier, E. Zuazua. Null controllability of a system of viscoelasticity with a moving control , Journal de Mathématiques Pures et Appliquees, 101 (2014) 198-222, doi: 10.1016/j.matpur.2013.05.009
R. Devore, E. Zuazua. Recovery of initial temperature from discrete sampling , M3AS (Mathematical Models and Methods in Applied Sciences), Vol. 24, No. 12 (2014) 2487250. DOI: 10.1142/S0218202514500262
M. Lazar, E. Zuazua. Averaged control and observation of parameter-depending wave equations , C. R. Acad. Sci. Paris, Ser. I 352 (2014) 497-502
R. Lecaros, E. Zuazua. Tracking control of 1D scalar conservation laws in the presence of shocks, "Trends in Contemporary Mathematics" , INdAM-Springer, V. Ancona and E. Strickland eds., Springer INdAM Series 8, 2014, pp. 195-219
E. Zuazua. Averaged controllability , Automatica, 50 (2014) 3077-3087
2013
L. Ignat, E. Zuazua. Asymptotic expansions for anisotropic heat kernels , J. Evol. Equs., 13 (1) (2013), 1-20
Q. Lu, E. Zuazua. Robust Null Controllability for Heat Equations with Unknown Switching Control Mode , Discrete and Continuous Dynamical Systems, 34 (10), (2014), 4183-4210, doi:10.3934/dcds.2014.34.4183
T. Cazenave, M. Escobedo, E. Zuazua. Blow-up for a time-oscillating nonlinear heat equation , Acta Math. Univ. Comenianae. (N.S.), Vol. LXXXII, 1 (2013), pp.125146
Y. Privat, E. Trélat, E. Zuazua. Optimal location of controllers for the onedimensional wave equation , Ann. I. H. Poincaré AN 30 (2013) 1097-1126
E. Casas, E. Zuazua. Spike Controls for Elliptic and Parabolic PDE, Systems and Control Letters , Systems and Control Letters, 62 (2013), 311-318
Y. Privat, E. Trélat, E. Zuazua. Optimal observation of the one-dimensional wave equation , J. Fourier Anal. Appl., 19 (2013), no. 3, 514-544
M. Ersoy, E. Feireisl, E. Zuazua. Sensitivity analysis of 1-d steady forced scalar conservation laws , J. Differential Equations 254 (2013) 3817-3834
A. Porretta, E. Zuazua. Long time versus steady state optimal control , SIAM J. Control. Optim., 51 (6) (2013), 4242-4273. URL: http://epubs.siam.org/toc/sjcodc/51/6. DOI: 10.1137/130907239
2012
A. Bueno-Orovio, C. Castro, F. Palacios, E. Zuazua. Continuous adjoint approach for the Spalart-Allmaras model in aerodynamic optimization , AIAA Journal, Vol. 50, No. 3, March 2012, pp. 631-646
A. Porretta, E. Zuazua. Null controllability of viscous Hamilton-Jacobi equations, Annales IHP, Analyse non linéaire , 29 (2012), pp. 301-333. DOI 10.1016/j.anihpc.2011.11.002
L. Ignat, E. Zuazua. Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations, JMPA, 98 (2012) 479-517
J. M. Arrieta, M. Lopez, E. Zuazua. Approximating travelling waves by equilibria of non local equations , Asymptotic Analysis, 78 (2012) 145186
F. Palacios, K. Duraisamy, J.J. Alonso, E. Zuazua. Robust Grid Adaptation for Efficient Uncertainty Quantification, AIAA Journal, 500 (7) (2012), 1538-1546
A. Marica, E. Zuazua. On the quadratic finite element approximation of 1-d waves: propagation, observation and control , SIAM J. Numer. Anal. Vol. 50, No. 5, (2012) pp. 27442777
G. Wang, E. Zuazua. On the equivalence of minimal time and minimal norm controls for heat equations , SIAM J. Cont. Optim., Vol. 50, No. 5, pp. 2938-2958, 2012
2011
E. Zuazua. Switching control , J. Eur. Math. Soc., 2011, 13, 85-117, DOI 10.4171/JEMS/245
K. Beauchard, E. Zuazua. Sharp large time asymptotics for partially dissipative hyperbolic systems , Arch. Rational Mech. Anal., 199 (2011) 177-227
C. Castro, E. Zuazua. Flux identification for 1-d scalar conservation laws in the presence of shocks , Math. Comp. 80 (2011), no. 276, 20252070
A. Marica, E. Zuazua. High frequency wave packets for the Schrödinger equation and its numerical approximations , C. R. Acad. Sci. Paris, Ser. I 349 (2011) 105110
D. KREJCIRIK, E. Zuazua. The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide , J. Differential Equations 250 (2011) 23342346.
S. Micu, E. Zuazua. Regularity issues for the null-controllability of the linear 1 - d heat equation , Systems and Control Letters, 60 (2011) 406-413, doi:10.1016/j.sysconle.2011.03.005
S. Ervedoza, E. Zuazua. Observability of heat processes by transmutation without geometric restrictions , MATHEMATICAL CONTROL AND RELATED FIELDS, Volume 1, Number 2, June 2011, pp. 177-187, doi: 10.3934/mcrf.2011.1.177
S. MICU, E. Zuazua. On the regularity of null-controls of the linear 1 - d heat equation , C. R. Acad. Sci. Paris, Ser. I 349 (2011) 673677, doi: 10.1016/j.crma.2011.05.005
S. Ervedoza, E. Zuaua. Sharp observability estimates for heat equations , ARMA, 202 (2011) 975 - 1017. DOI : 10.1007/s00205-011-0445-8
J. Casado-Diaz, C. Castro, M. Luna-Laynez, E. Zuazua. Numerical approximation of a one-dimensional elliptic optimal design problem , Multiscale Model. Simul., 2011, Vol. 9, No. 3, pp. 1181-1216
J. M. Arrieta, M. Lopez, E. Zuazua. On a nonlocal moving frame approximation of traveling waves , C. R. Acad. Sci. Paris, Ser. I 349 (2011) 753758, DOI: 10.1016/j.crma.2011.07.001
2010
D. Krejcirik, E. Zuazua. The Hardy inequality and the heat equation in twisted tubes , J. Mathématiques Pures et Appliquées, 94 (2010) 277-303
A. Marica, E. Zuazua. Localized solutions for the finite difference semidiscretization of the wave equation , C. R. Acad. Sci. Paris, Ser. I 348 (2010) 647652
A. Marica, E. Zuazua. Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1d wave equation , C. R. Acad. Sci. Paris, 348 (2010) 10871092
S. Ervedoza, E. Zuazua. A systematic method for building smooth controls for smooth data , Discrete Cont. Dyn. Syst. Ser. B, 14(4):1375{1401, 2010
F. Araruna, P. Braz e Silva, E. Zuazua. Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system , J Syst Sci Complex (2010) 23: 117, special issue in honor of D. L. Russell
A. Munch, E. Zuazua. Numerical approximation of null controls for the heat equation through transmutation , J. Inverse Problems, 26(8) 085018 (2010) (39pp.), doi:10.1088/0266-5611/26/8/085018
2009
L. Ignat, E. Zuazua. Convergence of a two-grid algorithm for the control of the wave equation , J. European Math. Soc., 11 (2009), 351-391
X. Zhang, Ch. Zheng, E. Zuazua. Exact controllability for the timediscrete wave equation , Discrete and Continuous Dynamical Systems, Series A, 23 (1 & 2), (2009), 571-604
L. De Teresa, E. Zuazua. Identification of the class of initial data for the insensitizing control of the heat equation , Communications in Pure and Applied Analysis, 8 (1) (2009), 457-471
S. Ervedoza, E. Zuazua. Uniformly exponentially stable approximations for a class of damped systems , JMPA, 91 (2009), 20-48
A. Baeza, C. Castro, F. Palacios, E. Zuazua. 2-D Euler Shape Design on Nonregular Flows Using Adjoint RankineHugoniot Relations , AIAA Journal, 47, (3) (Mar. 2009), pp. 552-562
L. Ignat, E. Zuazua. Numerical dispersive schemes for the nonlinear Schrödinger equation , SIAM J. Numer. Anal. Volume 47, Issue 2, pp. 1366-1390 (2009)
K. Beuchard, E. Zuazua. Some controllability results for the 2D Kolmogorov equation , Ann. Institut Henri Poincaré, Analyse Non Linéaire, 26 (5) (2009), 1793-1815
J. Vancostenoble, E. Zuazua. Hardy inequalities, Observability and Control for the wave and Schrödinger equations with singular potentials , SIAM J. Math. Anal., Volume 41, Issue 4, pp. 1508-1532 (2009)
J. Valein, E. Zuazua. Stabilization of the wave equation on 1-d networks , SIAM J. Cont. Optim., 2009, 48, No. 4, pp. 2771-2797
2008
Th. DUYCKAERTS, X. ZHANG, E. Zuazua, On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials , Annales IHP, 25 (2008) 1-41
C. CASTRO, F. PALACIOS, E. Zuazua, An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks , M3AS, 18 (3) (2008), 369-416
J. VANCOSTENOBLE, E. Zuazua, Null controllability of heat equations with singular inverse-square potentials , J. Functional Analysis, 254:18641902, 2008
S. ERVEDOZA, E. Zuazua, Perfectly Matched Layers in 1-d: Energy decay for continuous and semi-discrete waves , Numer. Math. 109 (2008), 597-634
S. ERVEDOZA, Ch. ZHENG, E. Zuazua, On the observability of timediscrete conservative linear systems , J. Functional Analysis, 254 (12) (2008), 3037-3078
F. ARARUNA, E. Zuazua, Controllability of the Kirchhoff System for Beams as Limit of the Mindlin-Timoshenko One , SIAM J. Cont. Optim., Vol. 47, No. 4, 2008, pp. 1909-1938
2007
L. R. TCHEUGOUE, E. Zuazua. Uniform boundary stabilization of the finite difference space discretization of the 1-d wave equation. Advances in Computational Mathematics, 26 (2007), 337-365
X. ZHANG, E. Zuazua, Long time behavior of a coupled heat-wave system arising in uid-structure interaction , Archive Rational Mechanics and Analysis, 184 (1) (2007), 49-120
C. CASTRO, E. Zuazua, Addendum to "Concentration and lack of observability of waves in highly heterogenous media" , Archive Rat. Mech. Anal., 185 (2007) 365-377
E. Zuazua, On the numerical approximation of the Helmholtz equation at large wave numbers, Matemática Contemporanea, 32 (2007), 253-286
C. CASTRO, C. LOZANO, F. PALACIOS, E. Zuazua, Systematic Continuous Adjoint Approach to Viscous Aerodynamic Design on Unstructured Grids , AIAA Journal, 45 (9) (2007): 2125-2139
2006
S. MICU, E. Zuazua. On the controllability of a fractional order parabolic equation SIAM J. Cont. Optim., 44(6) (2006) 1950-1972
D. CHENAIS, E. Zuazua. Finite Element Approximation of 2D Elliptic Optimal Design, JMPA, 85 (2006), 225-249
J. L. VAZQUEZ, E. Zuazua. Lack of collision in a simplified 1-d model for uid-solid interaction. M3AS, 16 (5) (2006), 637-678
E. Zuazua, Controllability and Observability of Partial Differential Equations: Some results and open problems", in Handbook of Differential Equations: Evolutionary Equations, vol. 3, C. M. Dafermos and E. Feireisl eds., Elsevier Science, 2006, pp. 527-621
R. ORIVE, E. Zuazua. Long-time behavior of solutions to a non-linear hyperbolic relaxation system. J. Differential Equations, 228 (2006) 17-38
H. KOCH, E. Zuazua, A hybrid system of PDE's arising in multi-structure interaction: coupling of wave equations in n and n-1 space dimension, in "Recent trends in Partial Differential Equations" , UIMP-RSME Santaló Summer School, July 12-16, 204, AMS-RSME, J. L. Vázquez et al. eds, Contemporary Mathematics 409, AMS, 2006, pp. 55-77
M. NEGREANU, E. Zuazua, Discrete Ingham inequalities and applications. SIAM J. Numer. Anal. 44 (2006), no. 1, 412-448
2005
C. CASTRO, E. Zuazua. Unique continuation and control for the heat equation from an oscillating lower dimensional manifold. SIAM J. Cont. Optim., 43 (4) (2005), 1400-1434
J. Rauch, X. ZHANG, E. Zuazua. Polynomial decay for a hyperbolicparabolic coupled system. J. Math. Pures et Appl., (9) 84 (2005), no. 4, 407-470
E. Zuazua. Propagation, observation, and control of waves approximated by finite difference methods. SIAM Review, 47 (2) (2005), 197-243. Versión preliminar publicada en el Boletín SEMA, 25 (2003), 55-126
A. MUNNIER, E. Zuazua. Large time behavior for a simplified N-dimensional model for fluid-solid interaction. Communications in Partial Differential Equations, 30 (2005), no. 1-3, 377-417
R. ORIVE, E. Zuazua. Finite difference approximations of homogenization problems for elliptic equations. Multiscale Modeling and Simulation A SIAM Interdisciplinary Journal, 4 (1) (2005) pp. 36-87
L. IGNAT, E. Zuazua. Dispersive properties of a viscous numerical scheme for the Schrödinger equation, C. R. Acad, Sci. París, 340 (2005) 529-534
L. IGNAT, E. Zuazua. A two-grid approximation scheme for nonlinear Schrödinger equations: Dispersive properties and convergence. CRAS, París, 341 (6) (2005), 381-386
2004
M. NEGREANU, E. Zuazua. Discrete Ingham inequalities and applications. C. R. Acad. Sci. París, 338 (2004), 281-286
M. NEGREANU, E. Zuazua. Convergence of a multigrid method for the controllability of a 1-d wave equation. C. R. Acad. Sci. París, 338 (4) (2004), 413-418
D. CHENAIS, E. Zuazua. Finite Element Approximation on Elliptic Optimal Design C. R. Acad. Sci. París, Ser.I, 338 (2004) 729-734
E. Zuazua. Optimal and approximate control of finite-difference schemes for the 1-D wave equation. Rendiconti di Matematica, Serie VIII, Vol. 24, Tomo II (2004), 201-237
X. ZHANG, E. Zuazua. Polynomial decay and control of a 1-d hyperbolicparabolic coupled system. Journal of Differential Equations, 204 (2004) 380-438
2003
J. ORTEGA, E. Zuazua. On a constrained controllability problem for the heat equation. J. Optim. Theory. Appls., 108 (1) (2001), 29-64. Addendum: 118(1) (2003), 183-190.
B. DEHMAN, G. LEBEAU, E. Zuazua. Stabilization and Control of the semilinear subcritical wave equation. Ann. Sci. Ecole Norm. Sup. (4) 36 (2003), no. 4, 525-551
G. PERLA-MENZALA, E. Zuazua. The energy decay rate for the modified von Kharman system of thermoelastic plates: An improvement. Applied Mathematics Letters, 16 (2003), 531-534
X. ZHANG, E. Zuazua. Decay rates for the system of thermoelasticity of type III. Communications in Contemporary Mathematics, 5 (1)(2003), 25-83
J. L. VAZQUEZ, E. Zuazua. Large time behavior of a simplified 1-d model of uid-solid interaction. Communications in Partial Differential Equations, 28 (9-10) 2003, 1705-1738
X. ZHANG, E. Zuazua. Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential. Matematische Annalen, 325 (2003), 543-582
L. R. TCHEUGOUE, E. Zuazua. Uniform exponential long time decay for the space semi-discretizations of a locally damped wave equation with artificial numerical viscosity. Numerische Mathematik, 95 (3) (2003), 563-598
D. CHENAIS, E. Zuazua. Controllability of an elliptic equation and its finite difference approximation by the shape of the domain. Numerische Mathematik, 95 (2003), 63-99
*X. ZHANG, E. Zuazua. Polynomial decay and control for a 1-d model of uid-structure interaction. C. R. Acad. Sci. París, 336 (2003), 745-750
X. ZHANG, E. Zuazua. Control, observation and polynomial decay for a 1-d heat-wave system. C. R. Acad. Sci. París, I, 336 (2003), 823-828
2002
G. PERLA-MENZALA, C. F. VASCONCELLOS, E. Zuazua. Stabilization of the Korteweg-de-Vries equation with localized damping. Quarterly Appl. Math., LX (1) (2002), 111-129
A. LOPEZ, E. Zuazua. Uniform null controllability for the one-dimensional heat equation with rapidly oscillating periodic density. Annales IHP. Analyse non linéaire, 19 (5) (2002), 543-580
J. L. VAZQUEZ, E. Zuazua. Complexity of large time behavior of evolution equations with bounded data. Chinese Annals of Mathematics, Ser. B, 23 (2) (2002), 293-310. L. Tatsien, ed. Frontiers in Mathematical analysis and Numerical Methods, In Memory of Jacques-Louis Lions, World Scientific, 2004, pp. 271-295
E. FERNANDEZ-CARA, E. Zuazua. On the null controllability of the one-dimensional heat equation with BV coeficients. Computational and Applied Mathematics, 21 (1), 2002, 167-190
C. CASTRO, E. Zuazua. Concentration and lack of observability of waves in highly heterogeneous media. Archive Rational Mechanics and Analysis, 164(1) (2002), 39-72
L. LEON, E. Zuazua. Boundary controllability of the finite-difference space semi-discretizations of the beam equation. ESAIM:COCV, A Tribute to Jacques-Louis Lions, Tome 2, 2002, pp. 827-862
A. DOUBOVA, E. Fernández-CARA, M. González-Burgos, E. Zuazua. On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient. SIAM Journal on Control and Optimization, 41(3), (2002), 798-819
M. NEGREANU, E. Zuazua. Uniform boundary controllability of a discrete 1-D wave equation. Systems and Control Letters., 48 (3-4) (2003), 261-280
R. DAGER, E. Zuazua. Spectral boundary controllability of networks of strings. C. R. Acad. Sci. París. , 334 (2002), 545-550
F. MACIA, E. Zuazua. On the lack of controllability of wave equations: a gaussian beam approach. Asymptotic Analysis, 32 (1) (2002), 1-26
A. PAZOTO, G. PERLA-MENZALA, E. Zuazua. Stabilization of Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates. M2AN, 36(2)(2002), 657-691
R. PRADO, E. Zuazua. Asymptotic expansion for the generalized Benjamin-Bona-Mahony-Burgers equations. Differential and Integral Equations, 15 (12) (2002), 1409-1434
E. Zuazua. Log-Lipschitz regularity and uniqueness of the flow for a field in Wn=p;p loc. C. R. Acad. Sci. París, 335 (2002), 17-22
E. Zuazua. Controllability of Partial Differential Equations and its Semi-Discrete Approximation. Discrete and Continuous Dynamical Systems, 8 (2) (2002), 469-513
*A. LOPEZ, E. Zuazua. Uniform null controllability for the one-dimensional heat equation with rapidly oscillating coeficients. Ann. I.H. Poincare-AN, 19(5) (2002), 543-580
*A. LOPEZ, E. Zuazua. Null controllability of the 1−d heat equation as limit of the controllability of dissipative wave equations. Contrôlabilité à zéro de l'équation de la chaleur 1−d comme limite de la contrôlabuité des équations d'ondes amorties. Ann. I.H. Poincare-AN, 19(5) (2002), 543-580
2001
S. MICU, E. Zuazua. On the lack of null controllability of the heat equation on the half line. Transactions of the A.M.S., 353 (4) (2001), 1635-1659
S. MICU, E. Zuazua. On the lack of null controllability of the heat equation on the half space. Portugaliae Mathematica, 58 (1) (2001), 1-24
J. ORTEGA, E. Zuazua. Generic simplicity of the spectrum and stabilization for a plate model. SIAM J. Cont. Optim., 39 (5) (2001), 1585-614. Addendum:SIAM J. Cont. Optim., 42 (5) (2003), 1905-1910
A. RODRIGUEZ-BERNAL, E. Zuazua. Parabolic singular limit of a wave equation with localized interior damping. Communications Contemporary Mathematics, 3(2)(2001), 215-257
J. ORTEGA, E. Zuazua. Generic simplicity of the eigenvalues of the Stokes system in two space dimensions. Advances in Differential Equations, 6 (8) (2001), 987-1023
R. ORIVE, A. PAZOTO, E. Zuazua. Asymptotic expansion of damped wave equations with periodic coeficients. Math. Models & Methods Appl. Sciences, 11 (7) (2001), 1285-1310
V. R. CABANILLAS, S. de MENEZES, E. Zuazua. Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms. J. Optim. Theory Applications, 110 (2) (2001), 245-264
R. DAGER, E. Zuazua. Controllability of star-shaped networks of strings. C. R. Acad. Sci. París. 332(7)(2001), 621-626
R. DAGER, E. Zuazua. Controllability of tree-shaped networks of vibrating strings. C. R. Acad. Sci. París., 332 (2001), 1087-1092
G. PERLA MENZALA, E. Zuazua. On a one-dimensional version of the dynamical Maguerre-Vlasov system. Boletin de la Sociedad Brasileña de Matemáticas. 32 (3)(2001) 303-319
2000
C. CASTRO, E. Zuazua. Exact boundary controllability of two Euler-Bernouilli beams connected by a point mass. Mathematical and Computer Modelling, 32 (2000), 955-969
E. FERNANDEZ-CARA, E. Zuazua. The cost of approximate controllability for heat equations: The linear case. Advances in Differential Equations, 5 (4-6) (2000), 465-514
C. CASTRO, E. Zuazua. Low frequency asymptotic analysis of a string with rapidly oscillating density. SIAM J. Appl. Math., 60 (2000), 1205-1233
G. PERLA MENZALA, E. Zuazua. Timoshenko's beam equation as a limit of a nonlinear one-dimensional von Kármán system. Proc. Royal Soc. Edinburgh, 130A(2000), 855-875
W.-. LIU, E. Zuazua. Uniform stabilization of the higher dimensional system of thermoelasticity with a nonlinear boundary feedback. Quarterly Appl. Math., 59(2)(2001), 269-314
J. L. VAZQUEZ, E. Zuazua. The Hardy inequality and the asymptotic behavior of the heat equation with an inverse square potential. J. Funct. Anal., 173 (2000), 103-153
A. LOPEZ, X. ZHANG, E. Zuazua. Null controllability of the heat equation as a singular limit of the exact controllability of dissipative wave equations. J. Math. Pures et Appl., 79 (2000), 741-809
G. PERLA-ENZALA, E. Zuazua. Timoshenko's plate equation as a singular limit of the dynamical von Karman system. J. Math. pures et appl., 79 (1) (2000), 73-94
J. ORTEGA, E. Zuazua. Large time behavior in RN for linear parabolic equations with periodic coeficients. Asymptotic Analysis, 22 (1) (2000), 51-85
G. DURO, E. Zuazua. Large time behavior for convection-diffusion equations in RN with periodic coeficients. Journal Diff. Equations, 167(2) (2000), 275-315
E. FERNANDEZ-CARA, E. Zuazua. Null and approximate controllability for weakly blowing up semilinear heat equations. Annales de l'IHP. Analyse non linéaire, 17 (5) (2000), 583-616
L. DE TERESA, E. Zuazua. Null controllability of linear and semilinear heat equations in thin domains. Asymptotic Analysis, 24 (2000), 295-317
E. FERNANDEZ-CARA, E. Zuazua. Controllability for blowing up semilinear parabolic equations. C. R. Acad. Sci. París, 330 (2000), 199-204
C. CASTRO, E. Zuazua. High frequency asymptotic analysis of a string with rapidly oscillating density. Eur. J. Appl. Math., 11(6) (2000), 595-622
1999
L. DE TERESA, E. Zuazua. Approximate controllability of the heat equation in unbounded domains . Nonlinear Anal., T. M. A., 37 (8) (1999), 1059-1090
J. L. LIONS, E. Zuazua. Exact boundary controllability of Galerkin's approximations of Navier Stokes equations . Annali Scuola Norm. Sup. Pisa, XXVI, 1998, pp. 605-621
G. PERLA MENZALA, E. Zuazua. The beam equation as a limit of 1-d nonlinear von Kármán model. Applied Mathematics Letters, 12 (1999), 47-52
G. LEBEAU, E. Zuazua. Decay rates for the linear system of three-dimensional system of thermoelasticity. Archives Rat. Mech. Anal., 148 (1999), 179-231
G. SWEERS, E. Zuazua. On the non-existence of some special eigenfunctions for the Dirichlet laplacian and the Lamé system. Journal of Elasticity, 52 (1999), 111-120
E. Zuazua. Observability of 1-d waves in heterogeneous and semi-discrete media. En "Advances in Structural Control" J. Rodellar et al. eds, CIMNE, Barcelona, 199, pp. 1-30
L. A. FERNANDEZ, E. Zuazua. Approximate controllability of the semilinear heat equation involving gradient terms. J. Opt. Theory Appls., 101 (2) (1999), 307-328
E. Zuazua. Boundary observability for the finite-difference space semi-discretizations of the 2-d wave equation in the square. J. Math. pures et appl., 78 (1999), 523-563
E. Zuazua. Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities. Control and Cybernetics , 28 (3) (1999), 665-683
G. DURO, E. Zuazua. Large time behavior for convection-diffusion equations in RN with asymptotically constant diffusion. Communications in PDE, 24 (7&8) (1999), 1283-1340
M. ESCOBEDO, E. Zuazua. Long time behavior of diffusion waves for a viscous system of conservation laws in RN. Asymptotic Analysis, 20 (1999) 133-173
W. LIU, E. Zuazua. Decay Rates for Dissipative Wave equations. Ricerche di Matematica, XLVIII (1999), 615
J. A. INFANTE, E. Zuazua. Boundary observability for the space-discretizations of the one-dimensional wave equation. M2AN, 33 (2) (1999), 407-438
1998
G. LEBEAU, E. Zuazua. Null controllability of a system of linear thermoelasticity. Archives for Rational Mechanics and Analysis, 141(4)(1998), 297-329
E. BISOGNIN, V. BISOGNIN, G. PERLA MENZALA, E. Zuazua. On exponential stability for von Karman Equations in the presence of thermal effects. Mathematical Methods in Applied Sciences, 21(1998), 393-416
S. MICU, E. Zuazua. Asymptotics for the spectrum of a uid/structure hybrid system arising in the control of noise. SIAM J. Math. Anal., 29(4)(1998), 967-1001
C. CASTRO, E. Zuazua. Boundary controllability of a hybrid system consisting of two exible beams connected by a point mass. SIAM J. Cont. Optim., 36(5) (1998), 1576-1595
*J. A. INFANTE, E. Zuazua. Boundary observability for the space-discretizations of the 1-d wave equation. C. R. Acad. Sci. París, Serie I, 326 (6) (1998) 713-718
*A. LOPEZ, E. Zuazua. Null controllability heat equation as limit of the controllability of dissipative wave equations. C. R. Acad. Sci. Paris Sér. I, 327(8) (1998), 753-758. DOI: https://doi.org/10.1016/S0764-4442(98)80164-X
A. LOPEZ, E. Zuazua. Null controllability of the 1−d heat equation as limit of the controllability of dissipative wave equations. Contrôlabilité à zéro de l'équation de la chaleur 1−d comme limite de la contrôlabuité des équations d'ondes amorties. C. R. Acad. Sci. París, Serie I, 326 (6) (1998) 713-718
A. LOPEZ, E. Zuazua. Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating coefficients. Contrôlabilité à zéro uniforme de l'èquation de la chaleur 1—d à coefficients rapidement oscillants* C. R. Acad. Sci. París, Serie I, 326 (8) (1998) 955-960
G. PERLA-MENZALA, E. Zuazua. Energy decay of magnetoelastic waves in a bounded conductive medium. Asymptotic Analysis, 18 (1998), 349-362
E. Zuazua. Null controllability of the heat equation in thin domains. En "Equations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions". Gauthier-Villars, 1998, p. 787-801
1997
M. ESCOBEDO, E. Zuazua. Long time behavior for convection-diffusion equations. SIAM J. Math. Anal., 28(3) (1997), 570-594
E. Zuazua. Finite dimensional null controllability for the semilinear heat equation. J. Math. pures et appl., 76, 1997, 237-264
S. MICU, E. Zuazua. Boundary controllability of a linear hybrid system arising in the control of noise. SIAM J. Cont. Optim., 35(5)(1997), 1614-1638
*G. PERLA MENZALA, E. Zuazua. Explicit exponential decay rates for solutions of von Káarmán's system of thermoelastic plates. C. R. Acad. Sci. París, 324, 1997, 49-54
S. MICU, E. Zuazua. On a weakly damped system arising in the control of noise. Proceedings of "International Conference on Control and Estimation of Distributed Parameter Systems", Vorau (Austria) 1996. International Series of Numerical Mathematics, vol. 126, Birkhauser Verlag, 1998, pp. 207-222
*G. LEBEAU, E. Zuazua. Sur la décroissance non uniforme de l'énérgie dans le système de la thermoèlasticité linèaire. C. R. Acad. Sci. París, 324, 1997, 409-415
C. CASTRO, E. Zuazua. Contrôlabilité de l'èquation des ondes è densité rapidement oscillante à une dimension d'espace. C. R. Acad. Sci. París, 324, 1997, 1237-1242
J.-L. LIONS, E. Zuazua. The cost of controlling unstable systems: Time irreversible systems. Rev. Matemática de la UCM, 10 (2) (1997), 481-523
C. CASTRO, E. Zuazua. A hybrid system consisting of two exible beams connected by a point mass: Well posedness in asymmetric spaces. Elasticité, Visco èlasticité et Contrôle Optimal, ESAIM Proceedings, Vol. 2 (1997) 17-53. http://www.emath.fr/proc/Vol.2/
*J.-.L. LIONS, E. Zuazua. Contrôlabilité exacte des approximations de Galerkin des équations de Navier-Stokes. C. R. Acad. Sci. París, 234, 1997, 1015-1021
S. JAFFARD, M. TUCSNAK, E. Zuazua. On a Theorem of Ingham. J. Fourier Anal. Appl., 3(5) (1997), 577-582
J. L. LIONS, E. Zuazua. The cost of controlling unstable systems: The case of boundary controls. J. Anal. Mathématique, LXXIII (1997), 225-249
1996
I. FIGUEIREDO, E. Zuazua. Exact controllability and asymptotic limit of thin plates Asymptotic. Anal., 12 (1996) 213-252
E. Zuazua. A uniqueness result for the linear system of elasticity and its control theoretical consequences. SIAM J. Cont. Optim., 34 (5) (1996), 1473-1495 & 37 (1) (1998), 330-331
J. L. LIONS, E. Zuazua. Approximate controllability for a coupled hydroelastic system. ESAIM: COCV, 1 (1) (1995), 1-15
G. DURO, E. Zuazua. Long time behavior for convection-diffusion equations in Rn with asimptotically constant diffusion. C. R. Acad. Sci. París, 321, 1995, 1419-1424
L. DE TERESA, E. Zuazua. Controllability for the linear system of thermoelastic plates. Advances in Diff. Eqs., 1(3) (1996), 369-402
*C. CASTRO, E. Zuazua. Analyse spectrale et contrôle d'un système hybride composé par deux poutres connectèes par une masse ponctuelle. C. R. Acad. Sci. París, 322, 351-356, 1996
J.-L. LIONS, E. Zuazua. A generic uniqueness result for the Stokes system and its control theoretical consequences. Partial Differential Equations and Applications. P. Marcellini, G. Talenti and E. Visentini eds., Marcel-Dekker Inc., LNPAS # 177, 1996, p. 221-235
C. CASTRO, E. Zuazua. Une remarque sur l'analyse asymptotique spectrale en homogeneisation. C. R. Acad. Sci. París, 322 (1996), 1043-1047
C. CASTRO, E. Zuazua. Une remarque sur les series de Fourier nonharmoniques et son application a la contrôlabilitè des cordes avec densité singulière. C. R. Acad. Sci. París, 323 (1996), 365-370
P. FREITAS, E. Zuazua. Stability results for the wave equation with indefinite damping. J. Diff. Equations., 132 (2) (1996), 338-352
1995
C. FABRE, J. P. PUEL, E. Zuazua. On the density of the range of the semigroup for semilinear heat equations . IMA Volumes, Vol. 70, 1995, "Control and Optimal Design of Distributed Parameter Systems", pp. 73-92
C. FABRE, J. P. PUEL, E. Zuazua. Approximate controllability for the semilinear heat equation. Proc. Roy. Soc. Edinburgh, 125A (1995), 31-61
S. HANSEN, E. Zuazua. Controllability and stabilization of strings with point masses. SIAM J. Cont. Optim., 33 (5) (1995), 1357-1391
E. Zuazua. Controllability of the linear system of thermoelasticity. J. Mathématiques pures et appl., 74 (1995), 303-346
A. RODRIGUEZ-BERNAL, E. Zuazua. Parabolic singular limit of dissipative wave equations. Discrete and Continuous Dynamical Systems, 1 (3) (1995), 303-346.
S. COX, E. Zuazua. The rate at which energy decays in the string damped at one end Indiana Univ. Math. J., 44 (2) (1995), 545-573
1994
E. Zuazua. A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations. Journal Diff. Eqs. 108 (1). 1-35. 1994
E. MACHTYNGIER, E. Zuazua. Stabilization of the Schrodinger equation. Portugaliae Matematica, 51 (2) (1994), 243-256
D. CIORANESCU, P. DONATO, E. Zuazua. Approximate controllability for the wave equation in perforated domains. SIAM J. Cont. Optim. 32 (1). 35-50. 1994
C. CONCA, E. Zuazua. Asymptotic analysis of a multidimensional vibrating structure. SIAM J. Math. Anal, 25 (3), 836-858, 1994
M. ESCOBEDO, J.L. VAZQUEZ, E. Zuazua. Entropy solutions for convection-diffusion equations with partial diffusivity. Transactions of the AMS 343. Número: 2. 829-842. 1994
S. COX, E. Zuazua. The rate at which the energy decays in a damped string. Comm. P.D.E. 19 (1 - 2). 213-243. 1994
*E. Zuazua. Contrôlabilité du système de la thermoèlasticité sans restrictions sur les paramétres de couplage. C.R. Acad. Sci. París. 318 (7). 643-648. 1994
*E. Zuazua. Contrôlabilité approchèe du système de l'èlasticité avec contraintes sur les contrôles. C. R. Acad. Sci. París. 319. 61-66. 1994
E. Zuazua. Approximate controllability for linear parabolic equations with rapidly oscillating coefficients. Control and Cybernetics. 23 (4). 1-8. 1994
S. MICU, E. Zuazua. Propriètés qualitatives d'un modèle hybride bi-dimensionnel intervenant dans le contrôle du bruit. C. R. Acad. Sci. París, 319 (12) (1994), 1263-1268
1993
E. Zuazua. Weakly nonlinear large time behavior for scalar convection-diffusion equations. Differential and Integral Equations. 6 (6). 1481-1492. 1993
E. Zuazua. Exact controllability for the semilinear wave equation in one space dimension. Ann. IHP. Analyse non linéaire. 10. 109-129. 1993
J. P. PUEL, E. Zuazua. Exact controllability for a model of a multidimensional exible structure. Proceedings Roy. Soc. Edinburgh. 123A. 323-344. 1993
M. ESCOBEDO, J. L. VAZQUEZ, E. Zuazua. Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Archives for Rational Mechanics and Analysis, 124(1). 43-66. 1993
C. FABRE, J. P. PUEL, E. Zuazua. Contrôlabilité approchèe de l'équation de la chaleur linéaire avec des contrôles de norme L1 minimale. C. R. Acad. Sci. París. 316. 679-684. 1993
E. FEIREISL, E. Zuazua. Global attractors for semilinear wave equations with locally distributed damping and critical exponent. Comm. P. D. E. 18 (9 & 10). 1539-1556. 1993
*S. COX, E. Zuazua. E Estimations sur le taux de decroissance exponentielle de l'ènergie dans des équations des ondes dissipatives linèaires. C. R. Acad. Sci. París. 317. 249-254. 1993
*E. Zuazua. Contrôlabilité du système de la thermoèlasticité. C.R. Acad. Sci. París. 317. 371-376. 1993
M. ESCOBEDO, J. L. VAZQUEZ, E. Zuazua. A diffusion-convection equation in several space dimensions. Indiana J. Math. 42. Número: 4. 1413-1440. 1993
1992
1991
E. Zuazua. Exact boundary controllability for the semilinear wave equation. En "Nonlinear Partial Differential Equations and their Applications", Ed. por H. Brezis y J. L. Lions, Collège de France Seminar 1987/1988. Vol. X, Research Notes in Mathematics, Pitman, 357-391 1991
D. CIORANESCU, P. DONATO, F. MURAT, E. Zuazua. Homogenization and correctors for the wave equation in domains with small holes. Ann. Sc. Norm. Sup. Pisa. XVIII (2). 1991. 251-293
M. ESCOBEDO, E. Zuazua. Large Time Behavior for Convection-Diffusion Equations in RN. Journal of Functional Analysis. 100. 119-161. 1991
C. BARDOS, L. HALPERN, G. LEBEAU, J. RAUCH, E. Zuazua. Stabilisation de l'équation des ondes au moyen d'un feedback portant sur les conditions aux limites de Dirichlet. Asymptotic Analysis. 4(4). 1991. 285-292
D. CIORANESCU, P. DONATO, E. Zuazua. Strong convergence on the exact controllability for the wave equation in perforated domains. En "Control of Distributed Parameter Systems", Birkhauser - Verlag, INMS Series, Ed. por Desch, Kappel y Kunisch. 100. 99-113. 1991
M. ESCOBEDO, E. Zuazua. Self-similar solutions for convection-difussion equations with absorption in RN. Israel J. Mathematics. 74. 47-64 1991
1990
1989
E. Zuazua. Sur l'optimalité des feedbacks de stabilisation. C. R. Acad. Sci. París (série I). 309. 547-552. 1989
*M. ESCOBEDO, E. Zuazua. Comportement asymptotique pour une équation de convection-diffusion dans RN. C. R. Acad. Sci. París (série I). 309. 329-334. 1989
*D. CIORANESCU, P. DONATO, E. Zuazua. Contrôlabilité exacte de l'équation des ondes dans des domaines perforés. C. R. Acad. Sci París (série I). 309. 473-478. 1989
E. Zuazua. Some remarks on the boundary stabilizability of the wave equation. En "Control of Boundaries and Stabilization", ed. por J. Simon, Lecture Notes in Control and Information Sciences. 125. 251-266. 1989
1988
1987