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Author ID: lebeau.gilles Recent zbMATH articles by "Lebeau, Gilles"
Published as: Lebeau, Gilles; Lebeau, G.
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Serials

8 Séminaire Équations aux Dérivées Partielles
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Communications in Partial Differential Equations
6 Comptes Rendus de l’Académie des Sciences. Série I
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Inventiones Mathematicae
3 Journal of Computational Physics
3 Journal of Differential Equations
3 Mathematische Zeitschrift
2 Archive for Rational Mechanics and Analysis
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 SIAM Journal on Control and Optimization
2 Journal of the American Mathematical Society
2 Asymptotic Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Experimental Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Astérisque
2 Progress in Nonlinear Differential Equations and Their Applications
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 The Annals of Probability
1 Bulletin de la Société Mathématique de France
1 Bulletin de la Société Royale des Sciences de Liège
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Mathematical Analysis
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Mathematical Chemistry
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Portugaliae Mathematica. Nova Série
1 Journal of the Institute of Mathematics of Jussieu
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Revue du CETHEDEC
1 Annals of Mathematics Studies
1 Lecture Notes in Mathematics
1 Séminaires et Congrès
1 Analysis & PDE
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 2,404 times in 1,615 Documents Cited by Year
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
567
1992
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
288
1995
Damped wave equation. (Equation des ondes amorties.) Zbl 0863.58068
Lebeau, G.
123
1996
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206
Le Rousseau, Jérôme; Lebeau, Gilles
91
2012
Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) Zbl 0838.35013
Lebeau, G.
90
1992
Stabilization of the wave equation by the boundary. (Stabilisation de l’équation des ondes par le bord.) Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
79
1997
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
78
1998
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
74
1991
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
69
1999
Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
63
1996
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
53
2003
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
49
2006
Nodal sets of sums of eigenfunctions. Zbl 0946.35055
Jerison, David; Lebeau, Gilles
45
1999
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
41
2008
A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043
Lebeau, G.; Schatzman, M.
37
1984
Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009
Burq, Nicolas; Lebeau, Gilles
27
2001
Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037
Bardos, C.; Lebeau, G.; Rauch, J.
25
1988
Nonlinear optics and supercritical wave equation. Zbl 1034.35137
Lebeau, Gilles
24
2001
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268
Dehman, B.; Lebeau, G.
24
2009
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
24
2008
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
24
2016
Singular optimal control for a transport-diffusion equation. Zbl 1135.35017
Guerrero, S.; Lebeau, G.
22
2007
Loss of regularity for super critical wave equations. (Perte de régularité pour les équations d’ondes sur-critiques.) Zbl 1071.35020
Lebeau, Gilles
22
2005
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
21
2017
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
18
2013
Analytic control. I: A priori estimates. (Contrôle analytique. I: Estimations à priori.) Zbl 0780.93053
Lebeau, Gilles
18
1992
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
16
2011
Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038
Lebeau, Gilles
16
1985
On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2D.) Zbl 1070.35504
Lebeau, Gilles
16
2002
Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501
Asch, M.; Lebeau, G.
15
1998
On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) Zbl 0873.35011
Lebeau, Gilles; Zuazua, Enrique
14
1997
Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033
Lebeau, Gilles; Michel, Laurent
14
2010
Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
13
2014
Smoothness and uniqueness for the Stokes problem. (Régularité et unicité pour le problème de Stokes.) Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
13
2002
Fonctions harmoniques et spectre singulier. Zbl 0446.46035
Lebeau, Gilles
13
1980
The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064
Asch, Mark; Lebeau, Gilles
13
2003
Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178
Chaves-Silva, Felipe W.; Lebeau, Gilles
13
2016
Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019
Lebeau, G.
12
1984
Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Diffraction by a convex obstacle. (Diffraction par un convexe.) Zbl 0831.35121
Harge, Thierry; Lebeau, Gilles
10
1994
Diffraction by an immersed elastic wedge. Zbl 0942.35002
Croisille, Jean-Pierre; Lebeau, Gilles
10
1999
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405
Kamotski, Vladimir V.; Lebeau, Gilles
8
2006
Control for hyperbolic equations. Zbl 0779.35005
Lebeau, Gilles
8
1992
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Zbl 0764.35055
Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique
8
1991
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
8
2009
Equations des ondes semi-linéaires. II: Contrôle des singularités et caustiques non linéaires. (Semilinear wave equations. II: Control of nonlinear singularities and caustics). Zbl 0686.35015
Lebeau, G.
7
1989
The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083
Lebeau, Gilles
7
2000
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0891.35072
Lebeau, Gilles
7
1997
On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114
Kamotski, V.; Lebeau, G.
7
2005
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
1989
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0884.35049
Lebeau, G.; Robbiano, L.
5
1995
Experimental study of the HUM control operator for linear waves. Zbl 1190.35011
Lebeau, Gilles; Nodet, Maëlle
5
2010
Deuxième microlocalisation à croissance. Zbl 0518.58037
Lebeau, G.
5
1983
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1426.76340
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
5
2014
Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144
Lebeau, Gilles; Puel, Marjolaine
5
2019
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
5
2014
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. (Estimations de dispersion pour l’équation des ondes et de Schrödinger à l’extérieur des obstacles strictement convexes et contre-exemples.) Zbl 1375.35491
Ivanovici, Oana; Lebeau, Gilles
5
2017
Geometric Fokker-Planck equations. Zbl 1087.58016
Lebeau, Gilles
4
2005
Singularities of solutions of semilinear wave equations. (Singularités des solutions d’équations d’ondes semi-linéaires.) Zbl 0776.35088
Lebeau, G.
4
1992
On the eigenvalues of a disturbed harmonic oscillator. (Sur les valeurs propres d’un oscillateur harmonique perturbé.) Zbl 0813.35141
Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles
4
1992
Damped wave equations. (Équations des ondes amorties.) Zbl 0887.35091
Lebeau, G.
4
1994
Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. (Equations de Fokker-Planck géométriques. II: Estimations hypoelliptiques maximales.) Zbl 1177.58018
Lebeau, Gilles
4
2007
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
4
2012
Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017
Lebeau, Gilles
4
1980
A strong uniqueness problem for the wave equation. (Un problème d’unicité forte pour l’équation des ondes.) Zbl 1126.58304
Lebeau, Gilles
4
1999
Problème de Cauchy semi-linéaire en 3 dimensions d’espace. Un résultat de finitude. (A semilinear Cauchy problem in three dimensional spaces. A finiteness result). Zbl 0648.35057
Lebeau, Gilles
3
1988
Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042
Delort, J.-M.; Lebeau, G.
3
1988
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
2
1987
Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004
Lebeau, G.
2
1990
Control for hyperbolic equations. Zbl 0793.93072
Lebeau, Gilles
2
1993
Maxwell equations and impedance boundary operator for an absorbing convex obstacle. (Équations de Maxwell et opérateur d’impédance sur le bord d’un obstacle convexe absorbant.) Zbl 0780.35108
Lafitte, Olivier; Lebeau, Gilles
2
1993
Calcul de dérivées normales et méthode de Galerkin appliquée au problème de contrôlabilité exacte. (Computation of normal derivatives and a Galerkin method applied to the problem of exact controllability). Zbl 0760.49003
Bardos, Claude; Bourquin, Frédéric; Lebeau, Gilles
2
1991
Nonlinear optics and supercritical waves. (Optique non linéaire et ondes sur critiques.) Zbl 1069.35512
Lebeau, Gilles
2
2000
Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032
Lebeau, Gilles
2
1982
Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101
Lebeau, G.
2
1989
New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain. (Nouveaux contre-exemples aux estimations de Strichartz pour l’équation des ondes dans un domaine convexe modèle bidimensionnel.) Zbl 1471.35066
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2021
Subanalytic sheaves and Sobolev spaces. Zbl 1353.32001
Guillermou, Stéphane; Lebeau, Gilles; Parusiński, Adam; Schapira, Pierre; Schneiders, Jean-Pierre
2
2016
Introduction to Carleman inequalities. (Introduction aux inéqualités de Carleman.) Zbl 1419.93022
Lebeau, Gilles
2
2015
Wave propagation in dihedra. (Propagation des ondes dans les dièdres.) Zbl 0845.35061
Lebeau, Gilles
2
1995
Strichartz estimates for the wave equation in a strictly convex domain. (Estimations de Strichartzpour l’équation des ondes dans un domaine strictment convexe.) Zbl 1382.35059
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2017
Contrôle et stabilisation pour l’équation des ondes. (Control and stabilization of wave equations). Zbl 0644.49025
Bardos, C.; Lebeau, G.; Rauch, J.
1
1987
Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015
Lebeau, G.
1
1986
Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047
Delort, Jean-Marc; Lebeau, Gilles
1
1986
Strichartz estimates for the wave equation on a 2D model convex domain. Zbl 1481.35090
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
1
2021
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
1
1996
Interaction of weak singularities for the semilinear wave equations. (Interaction des singularités faibles pour les équations d’ondes semi- linéaires.) Zbl 0753.35053
Lebeau, Gilles
1
1991
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0963.35110
Lebeau, G.
1
1996
Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d.) Zbl 1062.35503
Lebeau, Gilles
1
2001
Non holonomie dans un problème de diffraction. Zbl 0446.35020
Lebeau, G.
1
1980
Deuxième microlocalisation sur les sous-variétés isotropes. Zbl 0569.35007
Lebeau, G.
1
1982
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
1
2019
The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation. Zbl 1416.76198
Chehade, Samar; Kamta Djakou, Audrey; Darmon, Michel; Lebeau, Gilles
1
2019
Asymptotic analysis of the diffraction at a convex grating. (Analyse asymptotique de la diffraction par un réseau convexe.) Zbl 0828.35129
Abboud, Toufic; Ammari, Habib; Lebeau, Gilles
1
1995
New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain. (Nouveaux contre-exemples aux estimations de Strichartz pour l’équation des ondes dans un domaine convexe modèle bidimensionnel.) Zbl 1471.35066
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2021
Strichartz estimates for the wave equation on a 2D model convex domain. Zbl 1481.35090
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
1
2021
Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144
Lebeau, Gilles; Puel, Marjolaine
5
2019
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
1
2019
The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation. Zbl 1416.76198
Chehade, Samar; Kamta Djakou, Audrey; Darmon, Michel; Lebeau, Gilles
1
2019
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
21
2017
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. (Estimations de dispersion pour l’équation des ondes et de Schrödinger à l’extérieur des obstacles strictement convexes et contre-exemples.) Zbl 1375.35491
Ivanovici, Oana; Lebeau, Gilles
5
2017
Strichartz estimates for the wave equation in a strictly convex domain. (Estimations de Strichartzpour l’équation des ondes dans un domaine strictment convexe.) Zbl 1382.35059
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2017
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
24
2016
Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178
Chaves-Silva, Felipe W.; Lebeau, Gilles
13
2016
Subanalytic sheaves and Sobolev spaces. Zbl 1353.32001
Guillermou, Stéphane; Lebeau, Gilles; Parusiński, Adam; Schapira, Pierre; Schneiders, Jean-Pierre
2
2016
Introduction to Carleman inequalities. (Introduction aux inéqualités de Carleman.) Zbl 1419.93022
Lebeau, Gilles
2
2015
Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
13
2014
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1426.76340
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
5
2014
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
5
2014
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
18
2013
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206
Le Rousseau, Jérôme; Lebeau, Gilles
91
2012
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
4
2012
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
16
2011
Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033
Lebeau, Gilles; Michel, Laurent
14
2010
Experimental study of the HUM control operator for linear waves. Zbl 1190.35011
Lebeau, Gilles; Nodet, Maëlle
5
2010
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268
Dehman, B.; Lebeau, G.
24
2009
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
8
2009
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
41
2008
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
24
2008
Singular optimal control for a transport-diffusion equation. Zbl 1135.35017
Guerrero, S.; Lebeau, G.
22
2007
Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. (Equations de Fokker-Planck géométriques. II: Estimations hypoelliptiques maximales.) Zbl 1177.58018
Lebeau, Gilles
4
2007
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
49
2006
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405
Kamotski, Vladimir V.; Lebeau, Gilles
8
2006
Loss of regularity for super critical wave equations. (Perte de régularité pour les équations d’ondes sur-critiques.) Zbl 1071.35020
Lebeau, Gilles
22
2005
On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114
Kamotski, V.; Lebeau, G.
7
2005
Geometric Fokker-Planck equations. Zbl 1087.58016
Lebeau, Gilles
4
2005
The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
53
2003
The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064
Asch, Mark; Lebeau, Gilles
13
2003
On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2D.) Zbl 1070.35504
Lebeau, Gilles
16
2002
Smoothness and uniqueness for the Stokes problem. (Régularité et unicité pour le problème de Stokes.) Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
13
2002
Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009
Burq, Nicolas; Lebeau, Gilles
27
2001
Nonlinear optics and supercritical wave equation. Zbl 1034.35137
Lebeau, Gilles
24
2001
Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d.) Zbl 1062.35503
Lebeau, Gilles
1
2001
The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083
Lebeau, Gilles
7
2000
Nonlinear optics and supercritical waves. (Optique non linéaire et ondes sur critiques.) Zbl 1069.35512
Lebeau, Gilles
2
2000
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
69
1999
Nodal sets of sums of eigenfunctions. Zbl 0946.35055
Jerison, David; Lebeau, Gilles
45
1999
Diffraction by an immersed elastic wedge. Zbl 0942.35002
Croisille, Jean-Pierre; Lebeau, Gilles
10
1999
A strong uniqueness problem for the wave equation. (Un problème d’unicité forte pour l’équation des ondes.) Zbl 1126.58304
Lebeau, Gilles
4
1999
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
78
1998
Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501
Asch, M.; Lebeau, G.
15
1998
Stabilization of the wave equation by the boundary. (Stabilisation de l’équation des ondes par le bord.) Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
79
1997
On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) Zbl 0873.35011
Lebeau, Gilles; Zuazua, Enrique
14
1997
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0891.35072
Lebeau, Gilles
7
1997
Damped wave equation. (Equation des ondes amorties.) Zbl 0863.58068
Lebeau, G.
123
1996
Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
63
1996
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
1
1996
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0963.35110
Lebeau, G.
1
1996
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
288
1995
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0884.35049
Lebeau, G.; Robbiano, L.
5
1995
Wave propagation in dihedra. (Propagation des ondes dans les dièdres.) Zbl 0845.35061
Lebeau, Gilles
2
1995
Asymptotic analysis of the diffraction at a convex grating. (Analyse asymptotique de la diffraction par un réseau convexe.) Zbl 0828.35129
Abboud, Toufic; Ammari, Habib; Lebeau, Gilles
1
1995
Diffraction by a convex obstacle. (Diffraction par un convexe.) Zbl 0831.35121
Harge, Thierry; Lebeau, Gilles
10
1994
Damped wave equations. (Équations des ondes amorties.) Zbl 0887.35091
Lebeau, G.
4
1994
Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Control for hyperbolic equations. Zbl 0793.93072
Lebeau, Gilles
2
1993
Maxwell equations and impedance boundary operator for an absorbing convex obstacle. (Équations de Maxwell et opérateur d’impédance sur le bord d’un obstacle convexe absorbant.) Zbl 0780.35108
Lafitte, Olivier; Lebeau, Gilles
2
1993
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
567
1992
Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) Zbl 0838.35013
Lebeau, G.
90
1992
Analytic control. I: A priori estimates. (Contrôle analytique. I: Estimations à priori.) Zbl 0780.93053
Lebeau, Gilles
18
1992
Control for hyperbolic equations. Zbl 0779.35005
Lebeau, Gilles
8
1992
Singularities of solutions of semilinear wave equations. (Singularités des solutions d’équations d’ondes semi-linéaires.) Zbl 0776.35088
Lebeau, G.
4
1992
On the eigenvalues of a disturbed harmonic oscillator. (Sur les valeurs propres d’un oscillateur harmonique perturbé.) Zbl 0813.35141
Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles
4
1992
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
74
1991
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Zbl 0764.35055
Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique
8
1991
Calcul de dérivées normales et méthode de Galerkin appliquée au problème de contrôlabilité exacte. (Computation of normal derivatives and a Galerkin method applied to the problem of exact controllability). Zbl 0760.49003
Bardos, Claude; Bourquin, Frédéric; Lebeau, Gilles
2
1991
Interaction of weak singularities for the semilinear wave equations. (Interaction des singularités faibles pour les équations d’ondes semi- linéaires.) Zbl 0753.35053
Lebeau, Gilles
1
1991
Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004
Lebeau, G.
2
1990
Equations des ondes semi-linéaires. II: Contrôle des singularités et caustiques non linéaires. (Semilinear wave equations. II: Control of nonlinear singularities and caustics). Zbl 0686.35015
Lebeau, G.
7
1989
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
1989
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101
Lebeau, G.
2
1989
Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037
Bardos, C.; Lebeau, G.; Rauch, J.
25
1988
Problème de Cauchy semi-linéaire en 3 dimensions d’espace. Un résultat de finitude. (A semilinear Cauchy problem in three dimensional spaces. A finiteness result). Zbl 0648.35057
Lebeau, Gilles
3
1988
Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042
Delort, J.-M.; Lebeau, G.
3
1988
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
2
1987
Contrôle et stabilisation pour l’équation des ondes. (Control and stabilization of wave equations). Zbl 0644.49025
Bardos, C.; Lebeau, G.; Rauch, J.
1
1987
Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015
Lebeau, G.
1
1986
Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047
Delort, Jean-Marc; Lebeau, Gilles
1
1986
Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038
Lebeau, Gilles
16
1985
A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043
Lebeau, G.; Schatzman, M.
37
1984
Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019
Lebeau, G.
12
1984
Deuxième microlocalisation à croissance. Zbl 0518.58037
Lebeau, G.
5
1983
Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032
Lebeau, Gilles
2
1982
Deuxième microlocalisation sur les sous-variétés isotropes. Zbl 0569.35007
Lebeau, G.
1
1982
Fonctions harmoniques et spectre singulier. Zbl 0446.46035
Lebeau, Gilles
13
1980
Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017
Lebeau, Gilles
4
1980
Non holonomie dans un problème de diffraction. Zbl 0446.35020
Lebeau, G.
1
1980
all top 5

Cited by 1,364 Authors

50 Zuazua, Enrique
36 Lebeau, Gilles
30 Ammari, Kais
29 Cavalcanti, Marcelo Moreira
24 Tcheugoué Tébou, Louis Roder
22 Burq, Nicolas
22 Domingos Cavalcanti, Valéria Neves
21 Bismut, Jean-Michel
21 Léautaud, Matthieu
20 Münch, Arnaud
19 Lasiecka, Irena
19 Rao, Bopeng
18 Beauchard, Karine
18 Ma, Xiaonan
18 Yamamoto, Masahiro
17 Ervedoza, Sylvain
17 Fernández-Cara, Enrique
17 Nicaise, Serge
16 Laurent, Camille
16 Le Rousseau, Jérôme H.
16 Oksanen, Lauri
16 Zhang, Xu
15 Alabau-Boussouira, Fatiha
15 Lü, Qi
14 Bellassoued, Mourad
14 Li, Tatsien
14 Maniar, Lahcen
14 Tucsnak, Marius
14 Zhang, Weiping
13 Masson, Roland
13 Robbiano, Luc
13 Rosier, Lionel
13 Trélat, Emmanuel
12 Benabdallah, Assia
12 Imanuvilov, Oleg Yu.
11 Chaves-Silva, Felipe Wallison
11 de Teresa, Luz
11 González-Burgos, Manuel
11 Takahashi, Takéo
10 Aloui, Lassaad
10 Ammar-Khodja, Farid
10 Aouadi, Moncef
10 Dardé, Jérémi
10 Phung, Kim Dang
10 Puel, Jean-Pierre
10 Triggiani, Roberto
10 Wehbe, Ali
9 Fu, Xiaoyu
9 Guerrero, Sergio
9 Ivanovici, Oana
9 Kian, Yavar
9 Le Balc’h, Kévin
9 Martinez, Patrick
9 Miller, Luc
9 Privat, Yannick
9 Royer, Julien
9 Tautenhahn, Martin
9 Wang, Gengsheng
9 Zworski, Maciej
8 Boyer, Franck
8 Brenner, Konstantin
8 Burman, Erik
8 Cannarsa, Piermarco
8 Choulli, Mourad
8 Fragnelli, Genni
8 Hernández-Santamaría, Víctor
8 Pignotti, Cristina
8 Raymond, Jean-Pierre
8 Renard, Yves
8 Rüland, Angkana
8 Vancostenoble, Judith
8 Zhang, Qiong
7 Corrêa, Wellington José
7 Daoulatli, Moez
7 Glass, Olivier
7 Lissy, Pierre
7 Ludwig, Ursula Beate
7 Marinescu, George
7 Micu, Sorin
7 Ouzahra, Mohamed
7 Quintanilla de Latorre, Ramón
7 Sjöstrand, Johannes
7 Tzvetkov, Nikolay
7 Veselić, Ivan
7 Vodev, Georgi
6 Ainseba, Bedr’Eddine
6 Alazard, Thomas
6 Ammari, Habib M.
6 Carles, Rémi
6 Christianson, Hans
6 Cîndea, Nicolae
6 Coron, Jean-Michel
6 Diaconis, Persi Warren
6 Droniou, Jérôme
6 Gonzalez Martinez, Victor Hugo
6 Hassine, Fathi
6 Ibrahim, Slim
6 Joly, Romain
6 Khenissi, Moez
6 Macià, Fabricio
...and 1,264 more Authors
all top 5

Cited in 272 Serials

95 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
88 Journal of Differential Equations
81 Comptes Rendus. Mathématique. Académie des Sciences, Paris
68 Journal of Mathematical Analysis and Applications
52 Journal de Mathématiques Pures et Appliquées. Neuvième Série
51 Communications in Partial Differential Equations
42 SIAM Journal on Control and Optimization
38 Journal of Functional Analysis
35 Mathematical Control and Related Fields
30 Systems & Control Letters
27 Communications in Mathematical Physics
25 Evolution Equations and Control Theory
23 Applicable Analysis
21 Applied Mathematics and Optimization
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Archive for Rational Mechanics and Analysis
18 Journal of the European Mathematical Society (JEMS)
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 MCSS. Mathematics of Control, Signals, and Systems
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Duke Mathematical Journal
16 Transactions of the American Mathematical Society
15 Annales de l’Institut Fourier
15 Journal of Evolution Equations
14 Inventiones Mathematicae
13 Mathematical Methods in the Applied Sciences
13 Journal of Optimization Theory and Applications
13 SIAM Journal on Mathematical Analysis
13 Discrete and Continuous Dynamical Systems
12 Mathematische Annalen
11 Journal of Computational Physics
11 Advances in Mathematics
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Mathematische Zeitschrift
11 Applied Mathematics Letters
11 Journal of Mathematical Sciences (New York)
11 Annales Henri Poincaré
10 Applied Mathematics and Computation
10 Chinese Annals of Mathematics. Series B
10 Séminaire Laurent Schwartz. EDP et Applications
9 Journal of Mathematical Physics
9 Automatica
9 Numerische Mathematik
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Discrete and Continuous Dynamical Systems. Series B
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Journal de l’École Polytechnique – Mathématiques
8 Acta Applicandae Mathematicae
8 Communications in Contemporary Mathematics
8 Communications on Pure and Applied Analysis
7 Computers & Mathematics with Applications
7 Proceedings of the American Mathematical Society
7 Journal of Dynamics and Differential Equations
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Acta Mathematica Sinica. English Series
7 Discrete and Continuous Dynamical Systems. Series S
6 Inverse Problems
6 Journal d’Analyse Mathématique
6 Journal of Statistical Physics
6 Journal of Computational and Applied Mathematics
6 The Journal of Geometric Analysis
6 Journal of Dynamical and Control Systems
6 Journal of the Institute of Mathematics of Jussieu
6 Inverse Problems and Imaging
6 Science China. Mathematics
6 Annales Henri Lebesgue
5 Computer Methods in Applied Mechanics and Engineering
5 Israel Journal of Mathematics
5 Memoirs of the American Mathematical Society
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Journal of the American Mathematical Society
5 Asymptotic Analysis
5 European Journal of Applied Mathematics
5 St. Petersburg Mathematical Journal
5 Advances in Computational Mathematics
5 Journal of Systems Science and Complexity
4 Letters in Mathematical Physics
4 Quarterly of Applied Mathematics
4 Calculus of Variations and Partial Differential Equations
4 Journal of Inverse and Ill-Posed Problems
4 European Journal of Control
4 Vietnam Journal of Mathematics
4 Computational Geosciences
4 Portugaliae Mathematica. Nova Série
4 Advances in Difference Equations
4 Analysis & PDE
4 S\(\vec{\text{e}}\)MA Journal
4 Mathematics in Engineering
3 International Journal of Control
3 Nonlinearity
3 Mathematics of Computation
3 Acta Mathematica
3 Bulletin de la Société Mathématique de France
3 Integral Equations and Operator Theory
3 Journal of the Mathematical Society of Japan
3 Proceedings of the Japan Academy. Series A
3 SIAM Journal on Numerical Analysis
3 Stochastic Analysis and Applications
3 Revista Matemática Iberoamericana
3 The Annals of Applied Probability
...and 172 more Serials
all top 5

Cited in 55 Fields

1,258 Partial differential equations (35-XX)
701 Systems theory; control (93-XX)
211 Mechanics of deformable solids (74-XX)
188 Global analysis, analysis on manifolds (58-XX)
129 Fluid mechanics (76-XX)
125 Numerical analysis (65-XX)
108 Operator theory (47-XX)
86 Calculus of variations and optimal control; optimization (49-XX)
53 Quantum theory (81-XX)
48 Probability theory and stochastic processes (60-XX)
43 Dynamical systems and ergodic theory (37-XX)
43 Differential geometry (53-XX)
37 Several complex variables and analytic spaces (32-XX)
37 Optics, electromagnetic theory (78-XX)
33 Ordinary differential equations (34-XX)
25 Biology and other natural sciences (92-XX)
23 Functional analysis (46-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
18 Manifolds and cell complexes (57-XX)
17 Integral equations (45-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Algebraic geometry (14-XX)
12 Number theory (11-XX)
12 Functions of a complex variable (30-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Real functions (26-XX)
9 Special functions (33-XX)
8 Mechanics of particles and systems (70-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
5 \(K\)-theory (19-XX)
5 Geophysics (86-XX)
5 Operations research, mathematical programming (90-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Difference and functional equations (39-XX)
4 Integral transforms, operational calculus (44-XX)
4 Statistics (62-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Topological groups, Lie groups (22-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Convex and discrete geometry (52-XX)
3 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
2 Abstract harmonic analysis (43-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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