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Author ID: zuazua.enrique Recent zbMATH articles by "Zuazua, Enrique"
Published as: Zuazua, Enrique; Zuazua, E.; Zuazua, Enrike
Homepage: http://verso.mat.uam.es/web/ezuazua/zuazua.html
External Links: MGP · Wikidata · Twitter · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

54 single-authored
22 Trélat, Emmanuel
18 Zhang, Xu
17 Castro, Carlos
14 Biccari, Umberto
12 Escobedo Martínez, Miguel
12 Perla Menzala, Gustavo Alberto
11 Micu, Sorin
10 Ervedoza, Sylvain
10 Ignat, Liviu I.
10 Marica, Aurora
9 Privat, Yannick
9 Puel, Jean-Pierre
8 Fernández-Cara, Enrique
7 Cioranescu, Doina
7 Donato, Patrizia
7 Ruiz-Balet, Domènec
7 Vazquez, Juan Luis
6 Lions, Jacques-Louis
5 Dáger, René
5 Fabre, Caroline
5 Lebeau, Gilles
5 Lohéac, Jérôme
5 Lopez, Antonio M. jun.
5 Lü, Qi
5 Negreanu, Mihaela
5 Ortega, Jaime H.
5 Tucsnak, Marius
5 Warma, Mahamadi
4 De Nitti, Nicola
4 de Teresa, Luz
4 Geshkovski, Borjan
4 Lazar, Martin
4 Pighin, Dario
4 Porretta, Alessio
3 Aguirre Estibalez, Julián
3 Araruna, Fágner Dias
3 Chenais, Denise
3 Duro, Gema
3 Esteve-Yagüe, Carlos
3 Gugat, Martin
3 Han, Zhongjie
3 Ko, Dongnam
3 Komornik, Vilmos
3 Lecaros, Rodrigo
3 Orive Illera, Rafael
3 Pozo, Alejandro
3 Wang, Gengsheng
3 Zheng, Chuang
2 Allahverdi, Navid
2 Arrieta, José M.
2 Beauchard, Karine
2 Braz e Silva, Pablo
2 Casas, Eduardo
2 Chaves-Silva, Felipe Wallison
2 Coclite, Giuseppe Maria
2 Conca, Carlos
2 Crin-Barat, Timothée
2 de Figueiredo, Isabel Maria Narra
2 de León Rodríguez, Manuel
2 Dehman, Belhassen
2 Esteve, Carlos
2 Feireisl, Eduard
2 Fernández, Luis Alberto
2 Gosse, Laurent
2 Haraux, Alain
2 Hernández-Santamaría, Víctor
2 Infante, Juan-Antonio
2 Jaffard, Stéphane
2 Krejčiřík, David
2 Lance, Gontran
2 Liard, Thibault
2 Lissy, Pierre
2 López-Fernández, María
2 Macià, Fabricio
2 Maity, Debayan
2 Navarro Quiles, Ana
2 Palacios, Francisco
2 Pazoto, Ademir Fernando
2 Rauch, Jeffrey B.
2 Rodríguez-Bernal, Aníbal
2 Tcheugoué Tébou, Louis Roder
2 Vancostenoble, Judith
2 Veldman, Daniel
2 Zhang, Yubiao
1 Affili, Elisa
1 Andradas, Carlos
1 Bárcena-Petisco, Jon Asier
1 Bardos, Claude Williams
1 Beli, Constantin-Nicolae
1 Bianchini, Roberta
1 Bisognin, Eleni
1 Bisognin, Vanilde
1 Borkowski, Alexandra
1 Cabanillas, Victor R.
1 Casado-Díaz, Juan
1 Cazacu, Cristian M.
1 Cazenave, Thierry
1 Cea, Miguel
1 Choulli, Mourad
1 Ciepliński, Krzysztof
...and 83 more Co-Authors
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Serials

27 Comptes Rendus de l’Académie des Sciences. Série I
22 SIAM Journal on Control and Optimization
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Journal of Differential Equations
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Archive for Rational Mechanics and Analysis
10 Systems & Control Letters
9 Asymptotic Analysis
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Numerische Mathematik
7 Communications in Partial Differential Equations
7 SIAM Journal on Mathematical Analysis
6 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
5 Mathematics of Computation
5 Journal of Optimization Theory and Applications
5 Discrete and Continuous Dynamical Systems
5 Mathematical Control and Related Fields
4 Automatica
4 Journal of Functional Analysis
3 Nonlinearity
3 Control and Cybernetics
3 SIAM Journal on Numerical Analysis
3 Differential and Integral Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Computational and Applied Mathematics
3 Advances in Differential Equations
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3 Journal of the European Mathematical Society (JEMS)
3 Multiscale Modeling & Simulation
2 Inverse Problems
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 IEEE Transactions on Automatic Control
2 Indiana University Mathematics Journal
2 Quarterly of Applied Mathematics
2 Transactions of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 MCSS. Mathematics of Control, Signals, and Systems
2 SIAM Review
2 The Journal of Fourier Analysis and Applications
2 Matemática Contemporânea
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Communications in Contemporary Mathematics
2 La Gaceta de la Real Sociedad Matemática Española
2 Foundations of Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Advanced Nonlinear Studies
2 Communications on Pure and Applied Analysis
2 Handbook of Numerical Analysis
2 Networks and Heterogeneous Media
2 Pure and Applied Functional Analysis
2 SpringerBriefs in Mathematics
1 Houston Journal of Mathematics
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Mathematische Annalen
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Portugaliae Mathematica
1 Ricerche di Matematica
1 Optimal Control Applications & Methods
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Acta Applicandae Mathematicae
1 Mathematical and Computer Modelling
1 Revista Matemática de la Universidad Complutense de Madrid
1 European Journal of Applied Mathematics
1 The Journal of Geometric Analysis
1 Acta Mathematica Universitatis Comenianae. New Series
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Séminaire Équations aux Dérivées Partielles
1 Advances in Computational Mathematics
1 Vietnam Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Evolution Equations
1 Journal of Systems Science and Complexity
1 Portugaliae Mathematica. Nova Série
1 Cubo Matemática Educacional
1 Acta Numerica
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Mathématiques & Applications (Berlin)
1 Research Notes in Applied Mathematics
1 Publicaciones de la Real Sociedad Matemática Española
1 Proceedings of the Estonian Academy of Sciences
1 Matapli
1 Nonlinear Analysis. Theory, Methods & Applications
1 IEEE Control Systems

Publications by Year

Citations contained in zbMATH Open

340 Publications have been cited 7,689 times in 3,838 Documents Cited by Year
Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010
Zuazua, Enrike
249
1990
The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. Zbl 0953.35053
Vazquez, Juan Luis; Zuazua, Enrike
231
2000
Approximate controllability of the semilinear heat equation. Zbl 0818.93032
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
190
1995
Null and approximate controllability for weakly blowing up semilinear heat equations. Zbl 0970.93023
Fernández-Cara, Enrique; Zuazua, Enrique
189
2000
A direct method for the boundary stabilization of the wave equation. Zbl 0636.93064
Komornik, Vilmos; Zuazua, Enrike
176
1990
Propagation, observation, and control of waves approximated by finite difference methods. Zbl 1077.65095
Zuazua, Enrique
163
2005
The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034
Fernández-Cara, Enrique; Zuazua, Enrique
159
2000
Controllability and observability of partial differential equations: some results and open problems. Zbl 1193.35234
Zuazua, Enrique
155
2007
Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\). Zbl 0762.35011
Escobedo, Miguel; Zuazua, Enrike
128
1991
Wave propagation, observation and control in 1-\(d\) flexible multi-structures. Zbl 1083.74002
Dáger, René; Zuazua, Enrique
123
2006
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
112
1988
Uniform stabilization of the wave equation by nonlinear boundary feedback. Zbl 0695.93090
Zuazua, Enrike
109
1990
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031
Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique
100
2008
On the controllability of parabolic systems with a nonlinear term involving the state and the gradient. Zbl 1038.93041
Doubova, A.; Fernández-Cara, E.; González-Burgos, M.; Zuazua, E.
93
2002
Exact controllability for semilinear wave equations in one space dimension. Zbl 0769.93017
Zuazua, E.
93
1993
The rate at which energy decays in a damped string. Zbl 0818.35072
Cox, Steven; Zuazua, Enrique
92
1994
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
92
1998
The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010
Trélat, Emmanuel; Zuazua, Enrique
86
2015
Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101
Infante, Juan Antonio; Zuazua, Enrique
77
1999
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
77
1999
Exponential decay for the semilinear wave equation with localized damping in unbounded domains. Zbl 0765.35010
Zuazua, E.
75
1991
Large time asymptotics for partially dissipative hyperbolic systems. Zbl 1237.35017
Beauchard, Karine; Zuazua, Enrique
73
2011
Stabilization of the Korteweg-de Vries equation with localized damping. Zbl 1039.35107
Perla Menzala, G.; Vasconcellos, C. F.; Zuazua, E.
71
2002
Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Zbl 1178.74075
Zhang, Xu; Zuazua, Enrique
68
2007
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
68
2003
Long time versus steady state optimal control. Zbl 1287.49006
Porretta, Alessio; Zuazua, Enrique
64
2013
Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Zbl 0807.35059
Escobedo, Miguel; Vazquez, Juan Luis; Zuazua, Enrike
62
1993
Exact controllability for the semilinear wave equation. Zbl 0638.49017
Zuazua, Enrike
62
1990
Decay of solutions of the system of thermoelasticity of type III. Zbl 1136.74318
Zhang, Xu; Zuazua, Enrique
61
2003
The rate at which energy decays in a string damped at one end. Zbl 0847.35078
Cox, Steven; Zuazua, Enrique
58
1995
Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. Zbl 1064.93008
Zhang, Xu; Zuazua, Enrique
57
2004
Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030
Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique
56
2005
Decay rates for dissipative wave equations. Zbl 0939.35126
Liu, Wei-Jiu; Zuazua, Enrique
56
1999
Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
53
2017
Stability and decay for a class of nonlinear hyperbolic problems. Zbl 0677.35069
Zuazua, Enrike
50
1988
Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity. Zbl 1033.65080
Tcheugoué Tébou, Louis Roder; Zuazua, Enrique
49
2003
Exact boundary controllability for the semilinear wave equation. Zbl 0731.93011
Zuazua, E.
47
1991
Moments, Dirac deltas and expansion of functions. (Moments, masses de Dirac et décomposition de fonctions.) Zbl 0755.45019
Duoandikoetxea, Javier; Zuazua, Enrique
46
1992
Exact controllability and stabilization of a vibrating string with an interior point mass. Zbl 0853.93018
Hansen, Scott; Zuazua, Enrique
45
1995
Large-time behavior for a simplified 1D model of fluid-solid interaction. Zbl 1071.74017
Vázquez, Juan Luis; Zuazua, Enrique
44
2003
Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square. Zbl 0939.93016
Zuazua, E.
43
1999
Sharp observability estimates for heat equations. Zbl 1251.93040
Ervedoza, Sylvain; Zuazua, Enrique
43
2011
Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086
Tebou, Louis T.; Zuazua, Enrique
42
2007
Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052
Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique
41
2014
On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. Zbl 1257.49005
Wang, Gengsheng; Zuazua, Enrique
41
2012
Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent. Zbl 0815.35069
Feireisl, Eduard; Zuazua, Enrique
40
1993
Averaged control. Zbl 1309.93029
Zuazua, Enrique
40
2014
Null controllability for the heat equation with singular inverse-square potentials. Zbl 1145.93009
Vancostenoble, J.; Zuazua, E.
40
2008
Stabilization of the wave equation on 1-d networks. Zbl 1203.93184
Valein, Julie; Zuazua, Enrique
39
2009
A diffusion-convection equation in several space dimensions. Zbl 0791.35059
Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike
38
1993
Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Zbl 1203.35015
Münch, Arnaud; Zuazua, Enrique
38
2010
On the controllability of fractional order parabolic equation. Zbl 1116.93022
Micu, Sorin; Zuazua, Enrique
37
2006
A systematic method for building smooth controls for smooth data. Zbl 1219.93011
Ervedoza, Sylvain; Zuazua, Enrique
37
2010
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
37
2015
On the lack of null-controllability of the heat equation on the half-line. Zbl 0969.35022
Micu, Sorin; Zuazua, Enrique
36
2001
Finite dimensional null controllability for the semilinear heat equation. Zbl 0872.93014
Zuazua, Enrique
36
1997
Controllability of evolution equations with memory. Zbl 1368.93032
Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique
36
2017
Stabilization of the Schrödinger equation. Zbl 0814.35008
Machtyngier, E.; Zuazua, E.
35
1994
Controllability of partial differential equations and its semi-discrete approximations. Zbl 1005.35019
Zuazua, Enrique
35
2002
Uniform boundary controllability of a discrete 1-D wave equation. Zbl 1157.93324
Negreanu, Mihaela; Zuazua, Enrique
34
2003
Contrôlabilité exacte d’un modèle de plaques vibrantes en un temps arbitrairement petit. (Exact controllability of a vibrating plate model for an arbitrarily small time). Zbl 0611.49028
Zuazua, Enrike
33
1987
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
33
2013
Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. Zbl 1079.35017
López, Antonio; Zhang, Xu; Zuazua, Enrique
33
2000
Stability results for the wave equation with indefinite damping. Zbl 0878.35067
Freitas, Pedro; Zuazua, Enrique
33
1996
Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
33
2018
Entropy solutions for diffusion-convection equations with partial diffusivity. Zbl 0803.35084
Escobedo, M.; Vazquez, J. L.; Zuazua, Enrike
32
1994
Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities. Zbl 0959.93025
Zuazua, Enrique
31
1999
Numerical dispersive schemes for the nonlinear Schrödinger equation. Zbl 1192.65127
Ignat, Liviu I.; Zuazua, Enrique
31
2009
Numerical approximation of exact controls for waves. Zbl 1282.93001
Ervedoza, Sylvain; Zuazua, Enrique
31
2013
Uniformly exponentially stable approximations for a class of damped systems. Zbl 1163.74019
Ervedoza, Sylvain; Zuazua, Enrique
31
2009
Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
31
2017
On the null controllability of the one-dimensional heat equation with BV coefficients. Zbl 1119.93311
Fernández-Cara, Enrique; Zuazua, Enrique
31
2002
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
29
2013
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
29
2015
Switching control. Zbl 1203.49011
Zuazua, Enrique
28
2011
Averaged control and observation of parameter-depending wave equations. (Contrôle et observation en moyenne d’équations des ondes dépendant de paramètres.) Zbl 1302.35043
Lazar, Martin; Zuazua, Enrique
27
2014
Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. Zbl 1200.35008
Vancostenoble, J.; Zuazua, E.
27
2009
Boundary controllability of the finite-difference space semi-discretizations of the beam equation. Zbl 1063.93025
León, Liliana; Zuazua, Enrique
26
2002
Concentration and lack of observability of waves in highly heterogeneous media. Zbl 1016.35003
Castro, C.; Zuazua, E.
26
2002
On the lack of null-controllability of the heat equation on the half space. Zbl 0991.35010
Micu, S.; Zuazua, E.
26
2001
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
26
2016
Null controllability for wave equations with memory. Zbl 1370.93051
Lü, Qi; Zhang, Xu; Zuazua, Enrique
26
2017
Remarks on long time versus steady state optimal control. Zbl 1369.49008
Porretta, Alessio; Zuazua, Enrique
26
2016
Control and numerical approximation of the wave and heat equations. Zbl 1108.93023
Zuazua, Enrique
25
2006
On the lack of observability for wave equations: a Gaussian beam approach. Zbl 1024.35062
Macià, Fabricio; Zuazua, Enrique
25
2002
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012
Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique
25
2016
On the observability of time-discrete conservative linear systems. Zbl 1143.65044
Ervedoza, Sylvain; Zheng, Chuang; Zuazua, Enrique
25
2008
Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass. Zbl 0909.35085
Castro, Carlos; Zuazua, Enrique
25
1998
Lack of collision in a simplified 1D model for fluid-solid interaction. Zbl 1387.35634
Vázquez, Juan Luis; Zuazua, Enrique
24
2006
Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms. Zbl 0997.93048
Cabanillas, V. R.; De Menezes, S. B.; Zuazua, E.
24
2001
Control, observation and polynomial decay for a coupled heat-wave system. Zbl 1029.93037
Zhang, Xu; Zuazua, Enrique
24
2003
Spike controls for elliptic and parabolic PDEs. Zbl 1267.49005
Casas, E.; Zuazua, E.
24
2013
Some controllability results for the 2D Kolmogorov equation. Zbl 1172.93005
Beauchard, K.; Zuazua, E.
24
2009
Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058
Lü, Qi; Zuazua, Enrique
24
2016
Controllability and positivity constraints in population dynamics with age structuring and diffusion. Zbl 1422.93017
Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique
24
2019
Singular internal stabilization of the wave equation. Zbl 0920.35029
Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique
24
1998
Identification of the class of initial data for the insensitizing control of the heat equation. Zbl 1152.35387
De Teresa, Luz; Zuazua, Enrique
23
2009
An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks. Zbl 1160.35012
Castro, Carlos; Palacios, Francisco; Zuazua, Enrique
23
2008
Controllability of the linear system of thermoelasticity. Zbl 0846.93008
Zuazua, Enrique
23
1995
Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071
Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique
23
2016
Neural ODE control for classification, approximation, and transport. Zbl 1521.93080
Ruiz-Balet, Domènec; Zuazua, Enrique
2
2023
Greedy search of optimal approximate solutions. Zbl 1526.93012
Lazar, Martin; Zuazua, Enrique
1
2023
Constrained control of gene-flow models. Zbl 1519.92335
Mazari, Idriss; Ruiz-Balet, Domènec; Zuazua, Enrique
1
2023
Long-time convergence of a nonlocal Burgers’ equation towards the local \(N\)-wave. Zbl 1525.35028
Coclite, Giuseppe Maria; De Nitti, Nicola; Keimer, Alexander; Pflug, Lukas; Zuazua, Enrique
1
2023
Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006
Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique
12
2022
Interpolation and approximation via momentum ResNets and neural ODEs. Zbl 1485.93243
Ruiz-Balet, Domènec; Affili, Elisa; Zuazua, Enrique
5
2022
Flow decomposition for heat equations with memory. Zbl 1480.45012
Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique
5
2022
Initial data identification for the one-dimensional Burgers equation. Zbl 07564930
Liard, Thibault; Zuazua, Enrique
5
2022
Turnpike in optimal control of PDEs, ResNets, and beyond. Zbl 07674581
Geshkovski, Borjan; Zuazua, Enrique
5
2022
Control and numerical approximation of fractional diffusion equations. Zbl 1496.65155
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
4
2022
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367
Jin, Shi; Zhu, Yuhua; Zuazua, Enrique
3
2022
The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Zbl 1505.49026
Esteve, Carlos; Kouhkouh, Hicham; Pighin, Dario; Zuazua, Enrique
2
2022
Optimal actuator design via Brunovsky’s normal form. Zbl 07742156
Geshkovski, Borjan; Zuazua, Enrique
1
2022
Differentiability with respect to the initial condition for Hamilton-Jacobi equations. Zbl 1498.35168
Esteve-Yagüe, Carlos; Zuazua, Enrique
1
2022
Numerical issues and turnpike phenomenon in optimal shape design. Zbl 1487.49050
Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique
1
2022
Numerical control. Part A. Zbl 1492.49003
1
2022
Controllability of one-dimensional viscous free boundary flows. Zbl 1467.93034
Geshkovski, Borjan; Zuazua, Enrique
9
2021
Model predictive control with random batch methods for a guiding problem. Zbl 1476.49038
Ko, Dongnam; Zuazua, Enrique
8
2021
The turnpike property in nonlinear optimal control – a geometric approach. Zbl 1478.49006
Sakamoto, Noboru; Zuazua, Enrique
5
2021
Averaged dynamics and control for heat equations with random diffusion. Zbl 1480.93191
Bárcena-Petisco, Jon Asier; Zuazua, Enrique
5
2021
Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems. Zbl 1475.49040
Heiland, Jan; Zuazua, Enrique
3
2021
The finite-time turnpike phenomenon for optimal control problems: stabilization by non-smooth tracking terms. Zbl 1461.91188
Gugat, Martin; Schuster, Michael; Zuazua, Enrique
2
2021
Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2
2021
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. Zbl 1451.93033
Ruiz-Balet, Domènec; Zuazua, Enrique
13
2020
Controllability of the one-dimensional fractional heat equation under positivity constraints. Zbl 1446.93012
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
12
2020
The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. Zbl 1453.35189
Esteve, Carlos; Zuazua, Enrique
8
2020
Shape turnpike for linear parabolic PDE models. Zbl 1451.93170
Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique
7
2020
Asymptotic behavior and control of a “Guidance by repulsion” model. Zbl 1451.93306
Ko, Dongnam; Zuazua, Enrique
7
2020
Controllability of shadow reaction-diffusion systems. Zbl 1477.35292
Hernández-Santamaría, Víctor; Zuazua, Enrique
5
2020
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. Zbl 1447.93338
Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Zuazua, Enrique
3
2020
Propagation of one- and two-dimensional discrete waves under finite difference approximation. Zbl 1457.35009
Biccari, Umberto; Marica, Aurora; Zuazua, Enrique
3
2020
Sparse source identification of linear diffusion-advection equations by adjoint methods. Zbl 1454.93112
Monge, Azahar; Zuazua, Enrique
2
2020
Controllability and positivity constraints in population dynamics with age structuring and diffusion. Zbl 1422.93017
Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique
24
2019
Internal observability for coupled systems of linear partial differential equations. Zbl 1409.35059
Lissy, Pierre; Zuazua, Enrique
21
2019
Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161
Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique
13
2019
Dynamics and control for multi-agent networked systems: a finite-difference approach. Zbl 1428.93017
Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique
10
2019
Controllability under positivity constraints of multi-d wave equations. Zbl 1428.35202
Pighin, Dario; Zuazua, Enrique
8
2019
Greedy optimal control for elliptic problems and its application to turnpike problems. Zbl 1408.49018
Hernández-Santamaría, Víctor; Lazar, Martin; Zuazua, Enrique
8
2019
A two-dimensional “flea on the elephant” phenomenon and its numerical visualization. Zbl 1408.35110
Bianchini, Roberta; Gosse, Laurent; Zuazua, Enrique
4
2019
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Zbl 1438.35258
Morales-Hernández, M.; Zuazua, E.
2
2019
Controllability of a class of infinite dimensional systems with age structure. Zbl 1446.93014
Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique
2
2019
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2
2019
A parabolic approach to the control of opinion spreading. Zbl 1447.91120
Ruiz-Balet, Domènec; Zuazua, Enrique
1
2019
Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
33
2018
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
18
2018
Local regularity for fractional heat equations. Zbl 1415.35072
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
13
2018
Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
12
2018
Internal controllability for parabolic systems involving analytic non-local terms. Zbl 1391.35187
Lissy, Pierre; Zuazua, Enrique
12
2018
Allee optimal control of a system in ecology. Zbl 1411.93198
Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique
11
2018
Optimal shape design for 2D heat equations in large time. Zbl 1474.35351
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
8
2018
Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
53
2017
Controllability of evolution equations with memory. Zbl 1368.93032
Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique
36
2017
Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
31
2017
Null controllability for wave equations with memory. Zbl 1370.93051
Lü, Qi; Zhang, Xu; Zuazua, Enrique
26
2017
Averaged controllability of parameter dependent conservative semigroups. Zbl 1352.93025
Lohéac, Jérôme; Zuazua, Enrique
13
2017
Addendum to: “Local elliptic regularity for the Dirichlet fractional Laplacian”. Zbl 1516.35150
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
11
2017
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
11
2017
Numerical hypocoercivity for the Kolmogorov equation. Zbl 1351.65059
Porretta, Alessio; Zuazua, Enrique
11
2017
Decay rates for elastic-thermoelastic star-shaped networks. Zbl 1377.35022
Han, Zhong-Jie; Zuazua, Enrique
8
2017
Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Zbl 1375.35630
Gosse, Laurent; Zuazua, Enrique
7
2017
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
26
2016
Remarks on long time versus steady state optimal control. Zbl 1369.49008
Porretta, Alessio; Zuazua, Enrique
26
2016
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012
Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique
25
2016
Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058
Lü, Qi; Zuazua, Enrique
24
2016
Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071
Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique
23
2016
Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis. Zbl 1433.65157
Ervedoza, Sylvain; Marica, Aurora; Zuazua, Enrique
19
2016
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function. Zbl 1341.35085
Biccari, Umberto; Zuazua, Enrique
18
2016
On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027
Lü, Qi; Zuazua, Enrique
18
2016
From averaged to simultaneous controllability. Zbl 1348.93052
Lohéac, Jérôme; Zuazua, Enrique
16
2016
Numerical aspects of large-time optimal control of Burgers equation. Zbl 1350.49036
Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique
14
2016
Greedy controllability of finite dimensional linear systems. Zbl 1348.93051
Lazar, Martin; Zuazua, Enrique
10
2016
Stable observation of additive superpositions of partial differential equations. Zbl 1336.93036
Zuazua, Enrique
8
2016
Decay rates for \(1-d\) heat-wave planar networks. Zbl 1355.35023
Han, Zhong-Jie; Zuazua, Enrique
8
2016
Optimal strategies for driving a mobile agent in a “guidance by repulsion” model. Zbl 1510.93117
Escobedo, R.; Ibañez, A.; Zuazua, E.
7
2016
Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005
Gugat, Martin; Zuazua, Enrique
7
2016
Control of 2D scalar conservation laws in the presence of shocks. Zbl 1336.35239
Lecaros, Rodrigo; Zuazua, Enrique
4
2016
Numerical aspects of sonic-boom minimization. Zbl 1345.49039
Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique
4
2016
Dispersion for 1-D Schrödinger and wave equations with BV coefficients. Zbl 1364.35024
Beli, Constantin N.; Ignat, Liviu I.; Zuazua, Enrique
3
2016
Randomised observation, control and stabilization of waves. Zbl 07775045
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2
2016
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems. (Dépendance Lipschitz des coefficients comme fonction de la résolvante et approximation greedy pour les problèmes elliptiques scalaires.) Zbl 1349.35426
Choulli, Mourad; Zuazua, Enrique
2
2016
The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010
Trélat, Emmanuel; Zuazua, Enrique
86
2015
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
37
2015
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
29
2015
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
14
2015
Weak observability estimates for 1-D wave equations with rough coefficients. Zbl 1320.93027
Fanelli, Francesco; Zuazua, Enrique
12
2015
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Zbl 1320.65117
Ignat, Liviu I.; Pozo, Alejandro; Zuazua, Enrique
10
2015
Generation of 2D water waves by moving bottom disturbances. Zbl 1330.35338
Nersisyan, Hayk; Dutykh, Denys; Zuazua, Enrique
10
2015
Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach. Zbl 1375.81163
Marica, Aurora; Zuazua, Enrique
7
2015
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Zbl 1311.65112
Lescarret, Vincent; Zuazua, Enrique
5
2015
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Zbl 1320.65097
Ervedoza, Sylvain; Zuazua, Enrique
2
2015
Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052
Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique
41
2014
Averaged control. Zbl 1309.93029
Zuazua, Enrique
40
2014
Averaged control and observation of parameter-depending wave equations. (Contrôle et observation en moyenne d’équations des ondes dépendant de paramètres.) Zbl 1302.35043
Lazar, Martin; Zuazua, Enrique
27
2014
Robust null controllability for heat equations with unknown switching control mode. Zbl 1301.93028
Lü, Qi; Zuazua, Enrique
10
2014
Recovery of an initial temperature from discrete sampling. Zbl 1298.35250
DeVore, Ronald; Zuazua, Enrique
5
2014
Symmetric discontinuous Galerkin methods for 1-D waves. Fourier analysis, propagation, observability and applications. Zbl 1295.65097
Marica, Aurora; Zuazua, Enrique
4
2014
Tracking control of 1D scalar conservation laws in the presence of shocks. Zbl 1325.49032
Lecaros, Rodrigo; Zuazua, Enrique
4
2014
Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach. Zbl 1322.65091
Marica, Aurora; Zuazua, Enrique
3
2014
Long time versus steady state optimal control. Zbl 1287.49006
Porretta, Alessio; Zuazua, Enrique
64
2013
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
33
2013
...and 240 more Documents
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Cited by 3,507 Authors

168 Zuazua, Enrique
47 Cavalcanti, Marcelo Moreira
47 Fernández-Cara, Enrique
44 Xu, Gen-Qi
37 Messaoudi, Salim A.
35 Ammari, Kais
34 Domingos Cavalcanti, Valéria Neves
34 Trélat, Emmanuel
33 Guo, Bao-Zhu
33 Nicaise, Serge
31 Ervedoza, Sylvain
31 Münch, Arnaud
31 Tucsnak, Marius
28 Tcheugoué Tébou, Louis Roder
27 Micu, Sorin
26 Li, Tatsien
26 Rao, Bopeng
25 Gugat, Martin
25 Kunisch, Karl
25 Mustafa, Muhammad Islam
24 Leugering, Günter
24 Pazoto, Ademir Fernando
23 Takahashi, Takéo
23 Zhang, Xu
22 de Teresa, Luz
22 Han, Zhongjie
21 Lasiecka, Irena
21 Limaco, Juan
21 Maniar, Lahcen
20 Ignat, Liviu I.
20 Wang, Gengsheng
20 Wang, Junmin
20 Warma, Mahamadi
19 Coron, Jean-Michel
19 González-Burgos, Manuel
19 Lü, Qi
19 Privat, Yannick
18 Alabau-Boussouira, Fatiha
18 Araruna, Fágner Dias
18 Avdonin, Sergeĭ Anatol’evich
17 Fragnelli, Genni
16 Biccari, Umberto
16 Cannarsa, Piermarco
16 Fu, Xiaoyu
16 Komornik, Vilmos
16 Lissy, Pierre
16 Martinez, Patrick
16 Muñoz Rivera, Jaime Edilberto
16 Nakao, Mitsuhiro
15 Hernández-Santamaría, Víctor
15 Kaikina, Elena Igorevna
15 Liu, Xu
15 Vancostenoble, Judith
15 Wang, Lijuan
15 Wehbe, Ali
14 Beauchard, Karine
14 Grüne, Lars
14 Krejčiřík, David
14 Rosier, Lionel
14 Said-Houari, Belkacem
13 Aouadi, Moncef
13 Benabdallah, Assia
13 Gao, Hang
13 Guerrero, Sergio
13 Khemmoudj, Ammar
13 Laurent, Camille
13 Léautaud, Matthieu
13 Liu, Wenjun
13 Ouzahra, Mohamed
13 Periago, Francisco
13 Phung, Kim Dang
13 Quintanilla de Latorre, Ramón
13 Roventa, Ionel
12 Haraux, Alain
12 Krstić, Miroslav
12 Lazar, Martin
12 Le Balc’h, Kévin
12 Le Rousseau, Jérôme H.
12 Lohéac, Jérôme
12 Mitra, Debanjana
12 Park, Jong Yeoul
12 Porretta, Alessio
12 Ramos, Anderson J. A.
11 Boyer, Franck
11 Cazacu, Cristian M.
11 Chaves-Silva, Felipe Wallison
11 Cîndea, Nicolae
11 Clark, Haroldo Rodrigues
11 Gonzalez Martinez, Victor Hugo
11 Laurençot, Philippe
11 Loreti, Paola
11 Ortega, Jaime H.
11 Pignotti, Cristina
11 Santos, Mauro Lima
11 Soufyane, Abdelaziz
11 Souza, Diego A.
11 Wang, Liangwei
11 Zhang, Can
10 Balachandran, Krishnan
10 Cerpa, Eduardo
...and 3,407 more Authors
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Cited in 414 Serials

221 Journal of Mathematical Analysis and Applications
207 Journal of Differential Equations
195 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
136 SIAM Journal on Control and Optimization
109 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
94 Systems & Control Letters
89 Mathematical Control and Related Fields
87 Journal de Mathématiques Pures et Appliquées. Neuvième Série
82 Mathematical Methods in the Applied Sciences
79 Comptes Rendus. Mathématique. Académie des Sciences, Paris
68 Evolution Equations and Control Theory
60 Applicable Analysis
58 Applied Mathematics and Optimization
56 Journal of Functional Analysis
52 Journal of Evolution Equations
51 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
49 Journal of Optimization Theory and Applications
44 ZAMP. Zeitschrift für angewandte Mathematik und Physik
42 MCSS. Mathematics of Control, Signals, and Systems
41 Communications in Partial Differential Equations
39 Applied Mathematics Letters
38 Automatica
36 Journal of Dynamical and Control Systems
36 Communications on Pure and Applied Analysis
34 Discrete and Continuous Dynamical Systems
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
31 Journal of Mathematical Physics
31 Discrete and Continuous Dynamical Systems. Series B
29 Discrete and Continuous Dynamical Systems. Series S
28 Computers & Mathematics with Applications
27 Acta Applicandae Mathematicae
26 Communications in Contemporary Mathematics
25 SIAM Journal on Mathematical Analysis
24 Applied Mathematics and Computation
24 Chinese Annals of Mathematics. Series B
24 Nonlinear Analysis. Real World Applications
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23 Archive for Rational Mechanics and Analysis
23 International Journal of Control
20 Transactions of the American Mathematical Society
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19 NoDEA. Nonlinear Differential Equations and Applications
18 Asymptotic Analysis
18 Calculus of Variations and Partial Differential Equations
16 Mathematische Nachrichten
16 Electronic Journal of Differential Equations (EJDE)
16 Abstract and Applied Analysis
16 Journal of the European Mathematical Society (JEMS)
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Mathematics of Computation
15 Journal of Computational and Applied Mathematics
15 Mathematische Annalen
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14 Journal of Systems Science and Complexity
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11 Journal of Computational Physics
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11 Advances in Computational Mathematics
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11 Networks and Heterogeneous Media
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10 Journal d’Analyse Mathématique
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10 Acta Mathematicae Applicatae Sinica. English Series
10 Mathematical and Computer Modelling
10 The Journal of Geometric Analysis
10 Mathematical Problems in Engineering
10 Acta Mathematica Sinica. English Series
10 Portugaliae Mathematica. Nova Série
9 Journal of Scientific Computing
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 SIAM Journal on Applied Mathematics
9 Computational and Applied Mathematics
9 Analysis & PDE
8 Communications in Mathematical Physics
8 Applications of Mathematics
8 SIAM Journal on Scientific Computing
8 Inverse Problems in Science and Engineering
7 Numerical Functional Analysis and Optimization
7 SIAM Journal on Numerical Analysis
7 European Journal of Applied Mathematics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Inequalities and Applications
7 Séminaire Laurent Schwartz. EDP et Applications
6 Journal of Statistical Physics
6 Rocky Mountain Journal of Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
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Cited in 54 Fields

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