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Zuazua, Enrique

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Author ID: zuazua.enrique Recent zbMATH articles by "Zuazua, Enrique"
Published as: Zuazua, E.; Zuazua, Enrike; Zuazua, Enrique
Homepage: http://verso.mat.uam.es/web/ezuazua/zuazua.html
External Links: MGP · Wikidata · dblp
Documents Indexed: 353 Publications since 1987, including 7 Books
Biographic References: 1 Publication
all top 5

Co-Authors

51 single-authored
18 Trélat, Emmanuel
18 Zhang, Xu
17 Castro, Carlos
12 Escobedo Martínez, Miguel
12 Perla Menzala, Gustavo Alberto
11 Micu, Sorin
10 Ervedoza, Sylvain
10 Marica, Aurora
9 Ignat, Liviu I.
9 Puel, Jean-Pierre
8 Fernández-Cara, Enrique
8 Privat, Yannick
7 Biccari, Umberto
7 Cioranescu, Doina
7 Donato, Patrizia
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
4 de Teresa, Luz
4 Porretta, Alessio
4 Warma, Mahamadi
3 Aguirre Estibalez, Julián
3 Araruna, Fágner Dias
3 Chenais, Denise
3 Cox, Steven J.
3 Duro, Gema
3 Gugat, Martin
3 Komornik, Vilmos
3 Lazar, Martin
3 Orive Illera, Rafael
3 Pozo, Alejandro
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 Conca, Carlos
2 de Figueiredo, Isabel Maria Narra
2 de León Rodríguez, Manuel
2 Feireisl, Eduard
2 Fernández, Luis Alberto
2 Gosse, Laurent
2 Han, Zhongjie
2 Haraux, Alain
2 Hernández-Santamaría, Víctor
2 Infante, Juan-Antonio
2 Jaffard, Stéphane
2 Ko, Dongnam
2 Krejčiřík, David
2 Lecaros, Rodrigo
2 Lissy, Pierre
2 López-Fernández, María
2 Macià, Fabricio
2 Maity, Debayan
2 Palacios, Francisco
2 Pazoto, Ademir Fernando
2 Pighin, Dario
2 Rauch, Jeffrey B.
2 Rodríguez-Bernal, Aníbal
2 Ruiz-Balet, Domènec
2 Vancostenoble, Judith
1 Andradas, Carlos
1 Bardos, Claude Williams
1 Beli, Constantin-Nicolae
1 Bianchini, Roberta
1 Bisognin, Eleni
1 Bisognin, Vanilde
1 Cabanillas, V. R.
1 Casado-Díaz, Juan
1 Cazacu, Cristian M.
1 Cazenave, Thierry
1 Cea, Miguel
1 Choulli, Mourad
1 Ciepliński, Krzysztof
1 Cordero, Luis A.
1 Cortés López, Juan Carlos
1 De Menezes, Silvano Bezerra
1 Dehman, Belhassen
1 DeVore, Ronald A.
1 Doubova, Anna
1 Duoandikoetxea, Javier
1 Dutykh, Denys
1 Duyckaerts, Thomas
1 Ersoy, Mehmet
1 Escobedo, Ramón
1 Esteve, Carlos
1 Fanelli, Francesco
1 Fernández Rodríguez, Marisa
1 Freitas, Pedro
1 Fu, Xiaoyu
...and 54 more Co-Authors
all top 5

Serials

27 Comptes Rendus de l’Académie des Sciences. Série I
20 SIAM Journal on Control and Optimization
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Journal of Differential Equations
10 Archive for Rational Mechanics and Analysis
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Asymptotic Analysis
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Systems & Control Letters
7 Communications in Partial Differential Equations
6 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
5 Mathematics of Computation
5 Numerische Mathematik
5 SIAM Journal on Mathematical Analysis
5 Discrete and Continuous Dynamical Systems
4 Journal of Functional Analysis
4 Journal of Optimization Theory and Applications
4 Mathematical Control and Related Fields
3 Automatica
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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
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 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 Networks and Heterogeneous Media
2 SpringerBriefs in Mathematics
1 Houston Journal of Mathematics
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Mathematische Annalen
1 Portugaliae Mathematica
1 Ricerche di Matematica
1 Optimal Control Applications & Methods
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Mathematical and Computer Modelling
1 MCSS. Mathematics of Control, Signals, and Systems
1 Revista Matemática de la Universidad Complutense de Madrid
1 European Journal of Applied Mathematics
1 Acta Mathematica Universitatis Comenianae. New Series
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 SIAM Review
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 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 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Mathématiques & Applications (Berlin)
1 Proceedings of the Estonian Academy of Sciences
1 Matapli
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pure and Applied Functional Analysis

Publications by Year

Citations contained in zbMATH Open

298 Publications have been cited 5,281 times in 2,699 Documents Cited by Year
Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010
Zuazua, Enrike
192
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
160
2000
Approximate controllability of the semilinear heat equation. Zbl 0818.93032
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
156
1995
Null and approximate controllability for weakly blowing up semilinear heat equations. Zbl 0970.93023
Fernández-Cara, Enrique; Zuazua, Enrique
144
2000
A direct method for the boundary stabilization of the wave equation. Zbl 0636.93064
Komornik, Vilmos; Zuazua, Enrike
138
1990
The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034
Fernández-Cara, Enrique; Zuazua, Enrique
122
2000
Propagation, observation, and control of waves approximated by finite difference methods. Zbl 1077.65095
Zuazua, Enrique
118
2005
Controllability and observability of partial differential equations: some results and open problems. Zbl 1193.35234
Zuazua, Enrique
105
2007
Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\). Zbl 0762.35011
Escobedo, Miguel; Zuazua, Enrike
103
1991
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
86
1988
Uniform stabilization of the wave equation by nonlinear boundary feedback. Zbl 0695.93090
Zuazua, Enrike
82
1990
Wave propagation, observation and control in 1-\(d\) flexible multi-structures. Zbl 1083.74002
Dáger, René; Zuazua, Enrique
75
2006
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.
75
2002
The rate at which energy decays in a damped string. Zbl 0818.35072
Cox, Steven; Zuazua, Enrique
74
1994
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
68
1998
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031
Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique
67
2008
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
62
1999
Exact controllability for semilinear wave equations in one space dimension. Zbl 0769.93017
Zuazua, E.
61
1993
Stabilization of the Korteweg-de Vries equation with localized damping. Zbl 1039.35107
Perla Menzala, G.; Vasconcellos, C. F.; Zuazua, E.
53
2002
Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101
Infante, Juan Antonio; Zuazua, Enrique
53
1999
Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Zbl 0807.35059
Escobedo, Miguel; Vazquez, Juan Luis; Zuazua, Enrike
52
1993
Exponential decay for the semilinear wave equation with localized damping in unbounded domains. Zbl 0765.35010
Zuazua, E.
51
1991
The rate at which energy decays in a string damped at one end. Zbl 0847.35078
Cox, Steven; Zuazua, Enrique
50
1995
Decay of solutions of the system of thermoelasticity of type III. Zbl 1136.74318
Zhang, Xu; Zuazua, Enrique
49
2003
Large time asymptotics for partially dissipative hyperbolic systems. Zbl 1237.35017
Beauchard, Karine; Zuazua, Enrique
48
2011
Exact controllability for the semilinear wave equation. Zbl 0638.49017
Zuazua, Enrike
48
1990
Stability and decay for a class of nonlinear hyperbolic problems. Zbl 0677.35069
Zuazua, Enrike
47
1988
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
43
2003
Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Zbl 1178.74075
Zhang, Xu; Zuazua, Enrique
40
2007
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
40
2003
Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. Zbl 1064.93008
Zhang, Xu; Zuazua, Enrique
37
2004
Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent. Zbl 0815.35069
Feireisl, Eduard; Zuazua, Enrique
37
1993
Decay rates for dissipative wave equations. Zbl 0939.35126
Liu, Wei-Jiu; Zuazua, Enrique
36
1999
Moments, Dirac deltas and expansion of functions. Zbl 0755.45019
Duoandikoetxea, Javier; Zuazua, Enrique
36
1992
Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030
Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique
35
2005
Exact controllability and stabilization of a vibrating string with an interior point mass. Zbl 0853.93018
Hansen, Scott; Zuazua, Enrique
35
1995
The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010
Trélat, Emmanuel; Zuazua, Enrique
34
2015
Large-time behavior for a simplified 1D model of fluid-solid interaction. Zbl 1071.74017
Vázquez, Juan Luis; Zuazua, Enrique
33
2003
Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square. Zbl 0939.93016
Zuazua, E.
33
1999
On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. Zbl 1257.49005
Wang, Gengsheng; Zuazua, Enrique
32
2012
Controllability of partial differential equations and its semi-discrete approximations. Zbl 1005.35019
Zuazua, Enrique
32
2002
Long time versus steady state optimal control. Zbl 1287.49006
Porretta, Alessio; Zuazua, Enrique
31
2013
Finite dimensional null controllability for the semilinear heat equation. Zbl 0872.93014
Zuazua, Enrique
31
1997
A diffusion-convection equation in several space dimensions. Zbl 0791.35059
Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike
31
1993
Uniform boundary controllability of a discrete 1-D wave equation. Zbl 1157.93324
Negreanu, Mihaela; Zuazua, Enrique
29
2003
Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Zbl 1203.35015
Münch, Arnaud; Zuazua, Enrique
28
2010
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
28
2000
Stability results for the wave equation with indefinite damping. Zbl 0878.35067
Freitas, Pedro; Zuazua, Enrique
28
1996
Sharp observability estimates for heat equations. Zbl 1251.93040
Ervedoza, Sylvain; Zuazua, Enrique
27
2011
Stabilization of the wave equation on 1-d networks. Zbl 1203.93184
Valein, Julie; Zuazua, Enrique
27
2009
Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052
Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique
26
2014
A systematic method for building smooth controls for smooth data. Zbl 1219.93011
Ervedoza, Sylvain; Zuazua, Enrique
26
2010
Uniformly exponentially stable approximations for a class of damped systems. Zbl 1163.74019
Ervedoza, Sylvain; Zuazua, Enrique
26
2009
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
25
2015
On the controllability of fractional order parabolic equation. Zbl 1116.93022
Micu, Sorin; Zuazua, Enrique
25
2006
On the lack of null-controllability of the heat equation on the half-line. Zbl 0969.35022
Micu, Sorin; Zuazua, Enrique
25
2001
Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities. Zbl 0959.93025
Zuazua, Enrique
25
1999
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
25
1987
Null controllability for the heat equation with singular inverse-square potentials. Zbl 1145.93009
Vancostenoble, J.; Zuazua, E.
24
2008
Control and numerical approximation of the wave and heat equations. Zbl 1108.93023
Zuazua, Enrique
24
2006
Stabilization of the Schrödinger equation. Zbl 0814.35008
Machtyngier, E.; Zuazua, E.
24
1994
Numerical approximation of exact controls for waves. Zbl 1282.93001
Ervedoza, Sylvain; Zuazua, Enrique
23
2013
On the null controllability of the one-dimensional heat equation with BV coefficients. Zbl 1119.93311
Fernández-Cara, Enrique; Zuazua, Enrique
23
2002
Entropy solutions for diffusion-convection equations with partial diffusivity. Zbl 0803.35084
Escobedo, M.; Vazquez, J. L.; Zuazua, Enrike
23
1994
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
22
2013
Concentration and lack of observability of waves in highly heterogeneous media. Zbl 1016.35003
Castro, C.; Zuazua, E.
22
2002
Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
21
2017
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
21
2013
Switching control. Zbl 1203.49011
Zuazua, Enrique
21
2011
Lack of collision in a simplified 1D model for fluid-solid interaction. Zbl 1387.35634
Vázquez, Juan Luis; Zuazua, Enrique
21
2006
Averaged control. Zbl 1309.93029
Zuazua, Enrique
20
2014
Spike controls for elliptic and parabolic PDEs. Zbl 1267.49005
Casas, E.; Zuazua, E.
20
2013
Singular internal stabilization of the wave equation. Zbl 0920.35029
Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique
20
1998
Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass. Zbl 0909.35085
Castro, Carlos; Zuazua, Enrique
20
1998
Exact boundary controllability for the semilinear wave equation. Zbl 0731.93011
Zuazua, E.
20
1991
Some controllability results for the 2D Kolmogorov equation. Zbl 1172.93005
Beauchard, K.; Zuazua, E.
19
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
19
2008
Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086
Tebou, Louis T.; Zuazua, Enrique
19
2007
On the lack of observability for wave equations: a Gaussian beam approach. Zbl 1024.35062
Macià, Fabricio; Zuazua, Enrique
19
2002
Complexity of large time behaviour of evolution equations with bounded data. Zbl 1002.35020
Vázquez, J. L.; Zuazua, E.
19
2002
Boundary controllability of a linear hybrid system arising in the control of noise. Zbl 0888.35017
Micu, Sorin; Zuazua, Enrique
19
1997
Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. Zbl 1200.35008
Vancostenoble, J.; Zuazua, E.
17
2009
Identification of the class of initial data for the insensitizing control of the heat equation. Zbl 1152.35387
De Teresa, Luz; Zuazua, Enrique
17
2009
On the observability of time-discrete conservative linear systems. Zbl 1143.65044
Ervedoza, Sylvain; Zheng, Chuang; Zuazua, Enrique
17
2008
An introduction to the controllability of partial differential equations. Zbl 1231.93042
Micu, Sorin; Zuazua, Enrique
17
2005
Boundary controllability of the finite-difference space semi-discretizations of the beam equation. Zbl 1063.93025
León, Liliana; Zuazua, Enrique
17
2002
Large time behavior for convection-diffusion equations in \(\mathbb{R}^N\) with asymptotically constant diffusion. Zbl 0931.35068
Duro, Gema; Zuazua, Enrique
17
1999
Controllability of the linear system of thermoelasticity. Zbl 0846.93008
Zuazua, Enrique
17
1995
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
16
2015
Averaged control and observation of parameter-depending wave equations. Zbl 1302.35043
Lazar, Martin; Zuazua, Enrique
16
2014
Asymptotic expansion for damped wave equations with periodic coefficients. Zbl 1013.35014
Orive, R.; Zuazua, E.; Pazoto, A. F.
16
2001
On the lack of null-controllability of the heat equation on the half space. Zbl 0991.35010
Micu, S.; Zuazua, E.
16
2001
Controllability of star-shaped networks of strings. Zbl 0986.35018
Dáger, René; Zuazua, Enrique
16
2001
Timoshenko’s plate equation as a singular limit of the dynamical von Kármán system. Zbl 0965.74037
Perla Menzala, G.; Zuazua, E.
16
2000
Controllability of evolution equations with memory. Zbl 1368.93032
Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique
15
2017
Numerical dispersive schemes for the nonlinear Schrödinger equation. Zbl 1192.65127
Ignat, Liviu I.; Zuazua, Enrique
15
2009
Convergence of a multigrid method for the controllability of a 1-D wave equation. Zbl 1038.65054
Negreanu, Mihaela; Zuazua, Enrique
15
2004
Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating periodic density. Zbl 1009.35009
López, A.; Zuazua, E.
15
2002
Controllability of tree-shaped networks of vibrating strings. Zbl 0990.93051
Dáger, René; Zuazua, Enrique
15
2001
Self-similar solutions of a convection diffusion equation and related semilinear elliptic problems. Zbl 0708.35030
Aguirre, J.; Escobedo, M.; Zuazua, E.
15
1990
Shape turnpike for linear parabolic PDE models. Zbl 1451.93170
Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique
1
2020
Controllability of shadow reaction-diffusion systems. Zbl 07155322
Hernández-Santamaría, Víctor; Zuazua, Enrique
1
2020
Controllability and positivity constraints in population dynamics with age structuring and diffusion. Zbl 1422.93017
Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique
10
2019
Internal observability for coupled systems of linear partial differential equations. Zbl 1409.35059
Lissy, Pierre; Zuazua, Enrique
5
2019
Controllability under positivity constraints of multi-d wave equations. Zbl 1428.35202
Pighin, Dario; Zuazua, Enrique
3
2019
Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161
Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique
3
2019
Dynamics and control for multi-agent networked systems: a finite-difference approach. Zbl 1428.93017
Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique
2
2019
Controllability of a class of infinite dimensional systems with age structure. Zbl 1446.93014
Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique
1
2019
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Zbl 1438.35258
Morales-Hernández, M.; Zuazua, E.
1
2019
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
1
2019
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
7
2018
Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
7
2018
Allee optimal control of a system in ecology. Zbl 1411.93198
Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique
5
2018
Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
4
2018
Local regularity for fractional heat equations. Zbl 1415.35072
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
3
2018
Internal controllability for parabolic systems involving analytic non-local terms. Zbl 1391.35187
Lissy, Pierre; Zuazua, Enrique
2
2018
Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
21
2017
Controllability of evolution equations with memory. Zbl 1368.93032
Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique
15
2017
Null controllability for wave equations with memory. Zbl 1370.93051
Lü, Qi; Zhang, Xu; Zuazua, Enrique
12
2017
Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
11
2017
Averaged controllability of parameter dependent conservative semigroups. Zbl 1352.93025
Lohéac, Jérôme; Zuazua, Enrique
8
2017
Numerical hypocoercivity for the Kolmogorov equation. Zbl 1351.65059
Porretta, Alessio; Zuazua, Enrique
8
2017
Addendum to: “Local elliptic regularity for the Dirichlet fractional Laplacian”. Zbl 06791441
Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique
7
2017
Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Zbl 1375.35630
Gosse, Laurent; Zuazua, Enrique
4
2017
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
4
2017
Decay rates for elastic-thermoelastic star-shaped networks. Zbl 1377.35022
Han, Zhong-Jie; Zuazua, Enrique
2
2017
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
13
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
13
2016
Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis. Zbl 1433.65157
Ervedoza, Sylvain; Marica, Aurora; Zuazua, Enrique
12
2016
Remarks on long time versus steady state optimal control. Zbl 1369.49008
Porretta, Alessio; Zuazua, Enrique
11
2016
Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071
Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique
11
2016
Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058
Lü, Qi; Zuazua, Enrique
10
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
8
2016
From averaged to simultaneous controllability. Zbl 1348.93052
Lohéac, Jérôme; Zuazua, Enrique
7
2016
On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027
Lü, Qi; Zuazua, Enrique
7
2016
Numerical aspects of large-time optimal control of Burgers equation. Zbl 1350.49036
Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique
5
2016
Stable observation of additive superpositions of partial differential equations. Zbl 1336.93036
Zuazua, Enrique
5
2016
Decay rates for \(1-d\) heat-wave planar networks. Zbl 1355.35023
Han, Zhong-Jie; Zuazua, Enrique
4
2016
Greedy controllability of finite dimensional linear systems. Zbl 1348.93051
Lazar, Martin; Zuazua, Enrique
4
2016
Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005
Gugat, Martin; Zuazua, Enrique
3
2016
Control of 2D scalar conservation laws in the presence of shocks. Zbl 1336.35239
Lecaros, Rodrigo; Zuazua, Enrique
3
2016
Numerical aspects of sonic-boom minimization. Zbl 1345.49039
Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique
2
2016
Optimal strategies for driving a mobile agent in a “guidance by repulsion” model. Zbl 07249750
Escobedo, R.; Ibañez, A.; Zuazua, E.
1
2016
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems. Zbl 1349.35426
Choulli, Mourad; Zuazua, Enrique
1
2016
The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010
Trélat, Emmanuel; Zuazua, Enrique
34
2015
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
25
2015
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
16
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
11
2015
Weak observability estimates for 1-D wave equations with rough coefficients. Zbl 1320.93027
Fanelli, Francesco; Zuazua, Enrique
8
2015
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Zbl 1320.65117
Ignat, Liviu I.; Pozo, Alejandro; Zuazua, Enrique
7
2015
Generation of 2D water waves by moving bottom disturbances. Zbl 1330.35338
Nersisyan, Hayk; Dutykh, Denys; Zuazua, Enrique
6
2015
Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach. Zbl 1375.81163
Marica, Aurora; Zuazua, Enrique
4
2015
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Zbl 1311.65112
Lescarret, Vincent; Zuazua, Enrique
4
2015
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Zbl 1320.65097
Ervedoza, Sylvain; Zuazua, Enrique
1
2015
Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052
Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique
26
2014
Averaged control. Zbl 1309.93029
Zuazua, Enrique
20
2014
Averaged control and observation of parameter-depending wave equations. Zbl 1302.35043
Lazar, Martin; Zuazua, Enrique
16
2014
Robust null controllability for heat equations with unknown switching control mode. Zbl 1301.93028
Lü, Qi; Zuazua, Enrique
9
2014
Tracking control of 1D scalar conservation laws in the presence of shocks. Zbl 1325.49032
Lecaros, Rodrigo; Zuazua, Enrique
3
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
2
2014
Recovery of an initial temperature from discrete sampling. Zbl 1298.35250
DeVore, Ronald; Zuazua, Enrique
1
2014
Long time versus steady state optimal control. Zbl 1287.49006
Porretta, Alessio; Zuazua, Enrique
31
2013
Numerical approximation of exact controls for waves. Zbl 1282.93001
Ervedoza, Sylvain; Zuazua, Enrique
23
2013
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
22
2013
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
21
2013
Spike controls for elliptic and parabolic PDEs. Zbl 1267.49005
Casas, E.; Zuazua, E.
20
2013
Improved multipolar Hardy inequalities. Zbl 1283.35098
Cazacu, Cristian; Zuazua, Enrique
11
2013
On the quadratic finite element approximation of 1D waves: propagation, observation, control, and numerical implementation. Zbl 1273.65146
Marica, Aurora; Zuazua, Enrique
3
2013
Asymptotic expansions for anisotropic heat kernels. Zbl 1263.35208
Ignat, Liviu I.; Zuazua, Enrique
1
2013
On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. Zbl 1257.49005
Wang, Gengsheng; Zuazua, Enrique
32
2012
Null controllability of viscous Hamilton-Jacobi equations. Zbl 1244.93027
Porretta, Alessio; Zuazua, Enrique
10
2012
Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations. Zbl 1256.65085
Ignat, Liviu I.; Zuazua, Enrique
5
2012
A remark on the observability of conservative linear systems. Zbl 1394.35267
Zuazua, Enrique
3
2012
On the quadratic finite element approximation of one-dimensional waves: propagation, observation, and control. Zbl 1319.65090
Marica, Aurora; Zuazua, Enrique
2
2012
Approximating travelling waves by equilibria of non-local equations. Zbl 1248.35038
Arrieta, Jose M.; López-Fernández, María; Zuazua, Enrique
2
2012
Large time asymptotics for partially dissipative hyperbolic systems. Zbl 1237.35017
Beauchard, Karine; Zuazua, Enrique
48
2011
Sharp observability estimates for heat equations. Zbl 1251.93040
Ervedoza, Sylvain; Zuazua, Enrique
27
2011
Switching control. Zbl 1203.49011
Zuazua, Enrique
21
2011
Observability of heat processes by transmutation without geometric restrictions. Zbl 1244.35028
Ervedoza, Sylvain; Zuazua, Enrique
9
2011
Flux identification for 1-d scalar conservation laws in the presence of shocks. Zbl 1228.49004
Castro, Carlos; Zuazua, Enrique
8
2011
Regularity issues for the null-controllability of the linear 1-d heat equation. Zbl 1225.93027
Micu, Sorin; Zuazua, Enrique
8
2011
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107
Krejčiřík, David; Zuazua, Enrique
7
2011
On the regularity of null-controls of the linear 1-d heat equation. Zbl 1223.35189
Micu, Sorin; Zuazua, Enrique
6
2011
Numerical approximation of a one-dimensional elliptic optimal design problem. Zbl 1246.49028
Casado-Díaz, J.; Castro, C.; Luna-Laynez, M.; Zuazua, E.
5
2011
Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Zbl 1203.35015
Münch, Arnaud; Zuazua, Enrique
28
2010
A systematic method for building smooth controls for smooth data. Zbl 1219.93011
Ervedoza, Sylvain; Zuazua, Enrique
26
2010
The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029
Krejčiřík, David; Zuazua, Enrique
13
2010
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system. Zbl 1201.93059
Araruna, F. D.; Braz e Silva, P.; Zuazua, E.
11
2010
Optimal control and vanishing viscosity for the Burgers equation. Zbl 1190.65102
Castro, C.; Palacios, F.; Zuazua, E.
8
2010
Localized solutions for the finite difference semi-discretization of the wave equation. Zbl 1193.65163
Marica, Aurora; Zuazua, Enrique
2
2010
Exact controllability of the time discrete wave equation: a multiplier approach. Zbl 1189.93026
Zhang, Xu; Zheng, Chuang; Zuazua, Enrique
2
2010
Asymptotics and stabilization for dynamic models of nonlinear beams. Zbl 1375.74054
Araruna, Fágner D.; Braz e Silva, Pablo; Zuazua, Enrique
1
2010
Stabilization of the wave equation on 1-d networks. Zbl 1203.93184
Valein, Julie; Zuazua, Enrique
27
2009
Uniformly exponentially stable approximations for a class of damped systems. Zbl 1163.74019
Ervedoza, Sylvain; Zuazua, Enrique
26
2009
Some controllability results for the 2D Kolmogorov equation. Zbl 1172.93005
Beauchard, K.; Zuazua, E.
19
2009
Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. Zbl 1200.35008
Vancostenoble, J.; Zuazua, E.
17
2009
Identification of the class of initial data for the insensitizing control of the heat equation. Zbl 1152.35387
De Teresa, Luz; Zuazua, Enrique
17
2009
Numerical dispersive schemes for the nonlinear Schrödinger equation. Zbl 1192.65127
Ignat, Liviu I.; Zuazua, Enrique
15
2009
Convergence of a two-grid algorithm for the control of the wave equation. Zbl 1159.93006
Ignat, Liviu I.; Zuazua, Enrique
8
2009
Time discrete wave equations: boundary observability and control. Zbl 1158.93011
Zhang, Xu; Zheng, Chuang; Zuazua, Enrique
8
2009
...and 198 more Documents
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Cited by 2,523 Authors

137 Zuazua, Enrique
40 Fernández-Cara, Enrique
35 Cavalcanti, Marcelo Moreira
33 Xu, Gen-Qi
30 Messaoudi, Salim A.
29 Ammari, Kais
27 Nicaise, Serge
26 Domingos Cavalcanti, Valéria Neves
26 Trélat, Emmanuel
24 Guo, Bao-Zhu
24 Micu, Sorin
24 Tucsnak, Marius
23 Ervedoza, Sylvain
22 Lasiecka, Irena
22 Münch, Arnaud
22 Mustafa, Muhammad Islam
22 Tebou, Louis T.
21 Pazoto, Ademir Fernando
20 Han, Zhongjie
20 Kunisch, Karl
20 Zhang, Xu
18 Alabau-Boussouira, Fatiha
18 Wang, Gengsheng
17 Coron, Jean-Michel
17 González-Burgos, Manuel
17 Gugat, Martin
17 Takahashi, Takéo
16 Araruna, Fágner Dias
16 de Teresa, Luz
16 Ignat, Liviu I.
16 Le Rousseau, Jérôme H.
16 Leugering, Günter
16 Lü, Qi
16 Maniar, Lahcen
16 Nakao, Mitsuhiro
15 Kaikina, Elena Igorevna
15 Martinez, Patrick
15 Privat, Yannick
15 Rao, Bopeng
15 Wang, Junmin
15 Warma, Mahamadi
14 Beauchard, Karine
14 Cannarsa, Piermarco
14 Krejčiřík, David
14 Limaco, Juan
14 Liu, Xu
14 Muñoz Rivera, Jaime Edilberto
14 Said-Houari, Belkacem
13 Benabdallah, Assia
13 Gao, Hang
13 Guerrero, Sergio
13 Komornik, Vilmos
13 Liu, Wenjun
13 Rosier, Lionel
13 Vancostenoble, Judith
12 Li, Tatsien
12 Park, Jong Yeoul
12 Zhang, Can
11 Avdonin, Sergeĭ Anatol’evich
11 Haraux, Alain
11 Lissy, Pierre
11 Loreti, Paola
11 Periago, Francisco
11 Phung, Kim Dang
10 Ammar-Khodja, Farid
10 Balachandran, Krishnan
10 Biccari, Umberto
10 Chaves-Silva, Felipe Wallison
10 De Menezes, Silvano Bezerra
10 Escobedo Martínez, Miguel
10 Filippas, Stathis
10 Krstić, Miroslav
10 Laurençot, Philippe
10 Naumkin, Pavel Ivanovich
10 Pignotti, Cristina
10 Porretta, Alessio
10 Puel, Jean-Pierre
10 Roventa, Ionel
10 Tertikas, Achilles
10 Yao, Pengfei
9 Aouadi, Moncef
9 Boyer, Franck
9 Cîndea, Nicolae
9 Du, Runmei
9 Fu, Xiaoyu
9 Grobbelaar-Van Dalsen, Marié
9 Grüne, Lars
9 Laurent, Camille
9 Léautaud, Matthieu
9 Ortega, Jaime H.
9 Osses, Axel
9 Ouzahra, Mohamed
9 Quintanilla de Latorre, Ramón
9 Robbiano, Luc
9 Shubov, Marianna A.
9 Vexler, Boris
9 Wang, Lijuan
9 Yang, Donghui
8 Bellassoued, Mourad
8 Berrahmoune, Larbi
...and 2,423 more Authors
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Cited in 313 Serials

188 Journal of Mathematical Analysis and Applications
167 Journal of Differential Equations
136 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
96 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
93 SIAM Journal on Control and Optimization
79 Journal de Mathématiques Pures et Appliquées. Neuvième Série
76 Systems & Control Letters
73 Comptes Rendus. Mathématique. Académie des Sciences, Paris
61 Mathematical Control and Related Fields
49 Mathematical Methods in the Applied Sciences
46 Journal of Functional Analysis
44 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
40 Applicable Analysis
39 Journal of Optimization Theory and Applications
37 ZAMP. Zeitschrift für angewandte Mathematik und Physik
36 Communications in Partial Differential Equations
35 Applied Mathematics Letters
34 Evolution Equations and Control Theory
31 Journal of Evolution Equations
28 Journal of Mathematical Physics
28 Automatica
28 Discrete and Continuous Dynamical Systems
27 MCSS. Mathematics of Control, Signals, and Systems
26 Journal of Dynamical and Control Systems
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 Discrete and Continuous Dynamical Systems. Series B
24 Communications on Pure and Applied Analysis
23 Computers & Mathematics with Applications
22 Applied Mathematics and Optimization
21 Archive for Rational Mechanics and Analysis
21 Applied Mathematics and Computation
21 Communications in Contemporary Mathematics
19 Transactions of the American Mathematical Society
19 Nonlinear Analysis. Real World Applications
18 Chinese Annals of Mathematics. Series B
18 Acta Applicandae Mathematicae
17 Numerische Mathematik
16 SIAM Journal on Mathematical Analysis
16 Abstract and Applied Analysis
15 International Journal of Control
13 Calculus of Variations and Partial Differential Equations
13 Journal of Systems Science and Complexity
12 Mathematics of Computation
12 NoDEA. Nonlinear Differential Equations and Applications
12 Advances in Difference Equations
12 Boundary Value Problems
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Nonlinear Analysis. Theory, Methods & Applications
11 Journal of the Franklin Institute
11 European Journal of Control
11 Journal of the European Mathematical Society (JEMS)
10 Journal d’Analyse Mathématique
10 Integral Equations and Operator Theory
10 Quarterly of Applied Mathematics
10 Mathematical and Computer Modelling
10 Journal of Dynamics and Differential Equations
10 Computational Optimization and Applications
10 Mathematical Problems in Engineering
10 Acta Mathematica Sinica. English Series
9 Journal of Computational and Applied Mathematics
9 Proceedings of the American Mathematical Society
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of Hyperbolic Differential Equations
9 Mediterranean Journal of Mathematics
9 Networks and Heterogeneous Media
8 Applied Numerical Mathematics
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of Mathematical Sciences (New York)
8 Advances in Computational Mathematics
8 Differential Equations
8 Portugaliae Mathematica. Nova Série
7 Communications in Mathematical Physics
7 Mathematische Annalen
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Discrete and Continuous Dynamical Systems. Series S
7 Advances in Nonlinear Analysis
6 Numerical Functional Analysis and Optimization
6 SIAM Journal on Applied Mathematics
6 Journal of Applied Mathematics
6 Inverse Problems in Science and Engineering
5 Journal of Computational Physics
5 Journal of Statistical Physics
5 Nonlinearity
5 Rocky Mountain Journal of Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Mathematische Nachrichten
5 SIAM Journal on Numerical Analysis
5 Optimization
5 Asymptotic Analysis
5 Journal of Scientific Computing
5 European Journal of Applied Mathematics
5 Computational and Applied Mathematics
5 Journal of Inequalities and Applications
5 Journal of Applied Mathematics and Computing
5 Analysis & PDE
5 International Journal of Differential Equations
5 Journal of Function Spaces
4 Computer Methods in Applied Mechanics and Engineering
4 Inverse Problems
4 Israel Journal of Mathematics
...and 213 more Serials
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Cited in 48 Fields

2,128 Partial differential equations (35-XX)
1,189 Systems theory; control (93-XX)
429 Mechanics of deformable solids (74-XX)
304 Calculus of variations and optimal control; optimization (49-XX)
228 Numerical analysis (65-XX)
173 Operator theory (47-XX)
161 Fluid mechanics (76-XX)
111 Ordinary differential equations (34-XX)
93 Real functions (26-XX)
72 Dynamical systems and ergodic theory (37-XX)
65 Functional analysis (46-XX)
55 Probability theory and stochastic processes (60-XX)
47 Integral equations (45-XX)
46 Biology and other natural sciences (92-XX)
39 Global analysis, analysis on manifolds (58-XX)
32 Quantum theory (81-XX)
32 Statistical mechanics, structure of matter (82-XX)
32 Operations research, mathematical programming (90-XX)
28 Classical thermodynamics, heat transfer (80-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
27 Mechanics of particles and systems (70-XX)
27 Optics, electromagnetic theory (78-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Differential geometry (53-XX)
9 Functions of a complex variable (30-XX)
8 Difference and functional equations (39-XX)
7 Potential theory (31-XX)
7 Special functions (33-XX)
6 Topological groups, Lie groups (22-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Abstract harmonic analysis (43-XX)
5 Geophysics (86-XX)
4 Approximations and expansions (41-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Integral transforms, operational calculus (44-XX)
3 Information and communication theory, circuits (94-XX)
2 Measure and integration (28-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Several complex variables and analytic spaces (32-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)

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