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Author ID: burq.nicolas Recent zbMATH articles by "Burq, Nicolas"
Published as: Burq, Nicolas; Burq, N.
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 94 Publications since 1991, including 2 Books
Co-Authors: 30 Co-Authors with 67 Joint Publications
663 Co-Co-Authors
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Serials

5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Séminaire Équations aux Dérivées Partielles
4 Communications in Mathematical Physics
4 Duke Mathematical Journal
4 Inventiones Mathematicae
3 American Journal of Mathematics
3 Proceedings of the American Mathematical Society
3 IMRN. International Mathematics Research Notices
3 Mathematical Research Letters
2 Annales de l’Institut Fourier
2 Bulletin de la Société Mathématique de France
2 Journal of Functional Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Acta Mathematica
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Asymptotic Analysis
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 AMRX. Applied Mathematics Research eXpress
1 Astérisque
1 RIMS Kôkyûroku Bessatsu
1 Analysis & PDE
1 Kyoto Journal of Mathematics
1 Pure and Applied Analysis
1 Annales Henri Lebesgue

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 2,073 times in 1,182 Documents Cited by Year
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
161
2004
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
107
2008
Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line. (Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel.) Zbl 0918.35081
Burq, Nicolas
103
1998
Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024
Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi
102
2003
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
81
2014
A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) Zbl 0906.93008
Burq, Nicolas; Gérard, Patrick
78
1997
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
74
2008
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
73
2004
Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014
Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi
67
2004
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
66
2011
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
64
2007
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
61
2005
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
50
2002
Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368
Burq, Nicolas
49
2002
On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074
Burq, Nicolas; Planchon, Fabrice
47
2008
Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019
Burq, Nicolas
44
2002
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
44
2005
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
43
2014
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
40
2008
Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020
Burq, N.
38
2003
Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009
Burq, N.
37
1997
Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
37
2013
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
35
2004
Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024
Burq, N.
35
2004
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
Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015
Burq, Nicolas; Hitrik, Michael
27
2007
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
22
2003
Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102
Burq, Nicolas
21
1997
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew
21
2010
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
19
2012
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
19
2001
Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210
Burq, Nicolas; Planchon, Fabrice
18
2009
Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227
Alazard, T.; Burq, N.; Zuily, C.
18
2016
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
18
2011
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
18
2005
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
17
2013
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
17
2007
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
16
2018
Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062
Burq, Nicolas; Christianson, Hans
15
2015
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
14
2013
Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
14
2015
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
13
2013
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
13
2007
Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264
Burq, Nicolas; Planchon, Fabrice
12
2006
Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016
Burq, N.
12
2005
Control of the plate equation in the presence of strictly convex obstacles. (Contrôle de l’équation des plaques en présence d’obstacles strictement convexes.) Zbl 0930.93007
Burq, Nicolas
11
1993
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
10
2018
Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168
Burq, Nicolas; Joly, Romain
10
2016
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182
Bony, Jean-François; Burq, Nicolas; Ramond, Thierry
9
2010
Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033
Burq, Nicolas; Zuily, Claude
8
2015
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
7
2004
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
6
2005
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
6
2012
Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041
Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm
6
2017
Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011
Burq, N.; Zuily, C.
6
2016
Exact controlability for the wave equation in corner domains. (Contrôle de l’équation des ondes dans des ouverts comportant des coins.) Zbl 0937.35097
Burq, Nicolas; Schlenker, Jean-Marc
5
1998
Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099
Burq, Nicolas
5
1997
A stationary phase type estimate. Zbl 1364.35012
Alazard, T.; Burq, N.; Zuily, C.
5
2017
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013
Burq, Nicolas; Hassell, Andrew; Wunsch, Jared
4
2007
Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040
Burq, N.
4
1991
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
The Benjamin-Ono equation in energy space. Zbl 1127.35302
Burq, Nicolas; Planchon, Fabrice
4
2006
Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072
Burq, Nicolas
4
2011
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030
Burq, Nicolas
4
2020
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
4
2013
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
4
2014
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
3
2004
Strichartz estimates for the perturbations of the long-range Schrödinger operator. (Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrödinger.) Zbl 1292.35188
Burq, Nicolas
3
2002
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306
Burq, Nicolas; Zworski, Maciej
3
2019
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
3
2020
Second microlocalization and stabilization of damped wave equations on tori. Zbl 1383.35008
Burq, Nicolas
3
2017
From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013
Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya
2
2018
Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342
Burq, Nicolas
2
2013
Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066
Burq, Nicolas
2
2011
Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211
Burq, N.; Ducomet, B.
1
2020
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
1
2021
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
1
2021
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030
Burq, Nicolas
4
2020
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
3
2020
Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211
Burq, N.; Ducomet, B.
1
2020
Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306
Burq, Nicolas; Zworski, Maciej
3
2019
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
16
2018
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
10
2018
From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013
Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya
2
2018
Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041
Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm
6
2017
A stationary phase type estimate. Zbl 1364.35012
Alazard, T.; Burq, N.; Zuily, C.
5
2017
Second microlocalization and stabilization of damped wave equations on tori. Zbl 1383.35008
Burq, Nicolas
3
2017
Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227
Alazard, T.; Burq, N.; Zuily, C.
18
2016
Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168
Burq, Nicolas; Joly, Romain
10
2016
Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011
Burq, N.; Zuily, C.
6
2016
Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062
Burq, Nicolas; Christianson, Hans
15
2015
Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
14
2015
Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033
Burq, Nicolas; Zuily, Claude
8
2015
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
81
2014
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
43
2014
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
4
2014
Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
37
2013
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
17
2013
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
14
2013
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
13
2013
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
4
2013
Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342
Burq, Nicolas
2
2013
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
19
2012
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
6
2012
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
66
2011
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
18
2011
Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072
Burq, Nicolas
4
2011
Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066
Burq, Nicolas
2
2011
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew
21
2010
Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182
Bony, Jean-François; Burq, Nicolas; Ramond, Thierry
9
2010
Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210
Burq, Nicolas; Planchon, Fabrice
18
2009
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
107
2008
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
74
2008
On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074
Burq, Nicolas; Planchon, Fabrice
47
2008
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
40
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
64
2007
Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015
Burq, Nicolas; Hitrik, Michael
27
2007
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
17
2007
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
13
2007
Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013
Burq, Nicolas; Hassell, Andrew; Wunsch, Jared
4
2007
Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264
Burq, Nicolas; Planchon, Fabrice
12
2006
The Benjamin-Ono equation in energy space. Zbl 1127.35302
Burq, Nicolas; Planchon, Fabrice
4
2006
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
61
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
44
2005
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
18
2005
Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016
Burq, N.
12
2005
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
6
2005
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
161
2004
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
73
2004
Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014
Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi
67
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
35
2004
Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024
Burq, N.
35
2004
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
7
2004
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
3
2004
Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024
Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi
102
2003
Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020
Burq, N.
38
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
22
2003
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
50
2002
Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368
Burq, Nicolas
49
2002
Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019
Burq, Nicolas
44
2002
Strichartz estimates for the perturbations of the long-range Schrödinger operator. (Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrödinger.) Zbl 1292.35188
Burq, Nicolas
3
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
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
19
2001
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line. (Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel.) Zbl 0918.35081
Burq, Nicolas
103
1998
Exact controlability for the wave equation in corner domains. (Contrôle de l’équation des ondes dans des ouverts comportant des coins.) Zbl 0937.35097
Burq, Nicolas; Schlenker, Jean-Marc
5
1998
A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) Zbl 0906.93008
Burq, Nicolas; Gérard, Patrick
78
1997
Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009
Burq, N.
37
1997
Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102
Burq, Nicolas
21
1997
Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099
Burq, Nicolas
5
1997
Control of the plate equation in the presence of strictly convex obstacles. (Contrôle de l’équation des plaques en présence d’obstacles strictement convexes.) Zbl 0930.93007
Burq, Nicolas
11
1993
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040
Burq, N.
4
1991
all top 5

Cited by 1,013 Authors

38 Burq, Nicolas
38 Tzvetkov, Nikolay
24 Oh, Tadahiro
19 Alazard, Thomas
18 Zuazua, Enrique
16 Cavalcanti, Marcelo Moreira
16 Christianson, Hans
16 Sogge, Christopher D.
14 Metcalfe, Jason L.
14 Zhang, Junyong
14 Zworski, Maciej
13 Visciglia, Nicola
13 Zheng, Jiqiang
12 Carles, Rémi
12 Galkowski, Jeffrey
12 Léautaud, Matthieu
12 Mizutani, Haruya
12 Wunsch, Jared
11 D’Ancona, Piero
11 Datchev, Kiril R.
11 Domingos Cavalcanti, Valéria Neves
11 Gerard, Patrick
11 Ionescu, Alexandru D.
11 Laurent, Camille
10 Bony, Jean-François
10 Cacciafesta, Federico
10 de Suzzoni, Anne-Sophie
10 Fanelli, Luca
10 Hassell, Andrew
10 Tacy, Melissa
10 Tataru, Daniel
10 Thomann, Laurent
9 Blair, Matthew D.
9 Bourgain, Jean
9 Dinh, Van Duong
9 Privat, Yannick
9 Royer, Julien
9 Wang, Yuzhao
8 Alabau-Boussouira, Fatiha
8 Aloui, Lassaad
8 Ammari, Kais
8 Bouclet, Jean-Marc
8 Ervedoza, Sylvain
8 Linares, Felipe
8 Macià, Fabricio
8 Marzuola, Jeremy L.
8 Pocovnicu, Oana
8 Ponce, Gustavo
8 Spence, Euan A.
8 Toth, John Andrew
8 Trélat, Emmanuel
8 Vodev, Georgi
7 Deng, Yu
7 Duyckaerts, Thomas
7 Feireisl, Eduard
7 Fu, Xiaoyu
7 Kenig, Carlos Eduardo
7 Khenissi, Moez
7 Pausader, Benoît
7 Planchon, Fabrice
7 Sohinger, Vedran
7 Sun, Chenmin
6 Berti, Massimiliano
6 Corrêa, Wellington José
6 Dyatlov, Semyon
6 Germain, Pierre
6 Guo, Zihua
6 Han, Xiaolong
6 Hani, Zaher
6 Herr, Sebastian
6 Ibrahim, Slim
6 Ifrim, Mihaela
6 Kukavica, Igor
6 Lü, Qi
6 Nahmod, Andrea R.
6 Nonnenmacher, Stéphane
6 Pierfelice, Vittoria
6 Pusateri, Fabio
6 Rivière, Gabriel
6 Salort, Delphine
6 Staffilani, Gigliola
6 Tcheugoué Tébou, Louis Roder
6 Tohaneanu, Mihai
6 Tucsnak, Marius
6 Wang, Chengbo
6 Zelditch, Steve
5 Alexandrova, Ivana
5 Banica, Valeria
5 Brzeźniak, Zdzisław
5 Bulut, Aynur
5 Casarino, Valentina
5 Daoulatli, Moez
5 Eswarathasan, Suresh
5 Gonzalez Martinez, Victor Hugo
5 Masmoudi, Nader
5 Miao, Changxing
5 Murphy, Jason
5 Nguyen, Huy Quang
5 Petkov, Vesselin M.
5 Phan Thành Nam
...and 913 more Authors
all top 5

Cited in 181 Serials

73 Journal of Differential Equations
68 Communications in Partial Differential Equations
65 Communications in Mathematical Physics
58 Journal of Functional Analysis
33 Journal of Mathematical Analysis and Applications
32 Proceedings of the American Mathematical Society
30 Archive for Rational Mechanics and Analysis
30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 Discrete and Continuous Dynamical Systems
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 SIAM Journal on Mathematical Analysis
22 Journal of Mathematical Physics
22 Transactions of the American Mathematical Society
21 Advances in Mathematics
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Mathematische Annalen
20 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Annales de l’Institut Fourier
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Inventiones Mathematicae
17 Journal of the European Mathematical Society (JEMS)
16 Duke Mathematical Journal
15 Annales Henri Poincaré
14 Communications on Pure and Applied Analysis
13 SIAM Journal on Control and Optimization
13 The Journal of Geometric Analysis
13 Séminaire Laurent Schwartz. EDP et Applications
12 Analysis & PDE
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Communications on Pure and Applied Mathematics
10 Journal of Spectral Theory
9 Nonlinearity
9 Applied Mathematics and Optimization
9 Journal of Hyperbolic Differential Equations
8 Geometric and Functional Analysis. GAFA
7 Applicable Analysis
7 Revista Matemática Iberoamericana
7 Journal of the American Mathematical Society
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Communications in Contemporary Mathematics
7 Journal of Evolution Equations
7 Stochastic and Partial Differential Equations. Analysis and Computations
7 Water Waves
6 Mathematische Zeitschrift
6 Memoirs of the American Mathematical Society
6 Numerische Mathematik
6 Forum Mathematicum
6 The Journal of Fourier Analysis and Applications
6 Science China. Mathematics
6 Annals of PDE
5 Systems & Control Letters
5 MCSS. Mathematics of Control, Signals, and Systems
5 Annals of Mathematics. Second Series
5 Mathematical Control and Related Fields
5 Forum of Mathematics, Sigma
5 Journal de l’École Polytechnique – Mathématiques
4 Journal d’Analyse Mathématique
4 Journal of the Mathematical Society of Japan
4 Chinese Annals of Mathematics. Series B
4 Probability Theory and Related Fields
4 Journal of Dynamics and Differential Equations
4 Potential Analysis
4 Discrete and Continuous Dynamical Systems. Series B
4 Journal of the Institute of Mathematics of Jussieu
4 Kyoto Journal of Mathematics
4 Evolution Equations and Control Theory
3 Inverse Problems
3 Israel Journal of Mathematics
3 Osaka Journal of Mathematics
3 Applied Mathematics Letters
3 Journal of Mathematical Fluid Mechanics
3 Acta Mathematica Sinica. English Series
3 Foundations of Computational Mathematics
3 Portugaliae Mathematica. Nova Série
3 Forum of Mathematics, Pi
3 Pure and Applied Analysis
3 Annales Henri Lebesgue
2 Analysis Mathematica
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 Reviews in Mathematical Physics
2 American Journal of Mathematics
2 The Annals of Probability
2 Bulletin de la Société Mathématique de France
2 Integral Equations and Operator Theory
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 Quarterly of Applied Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Physica D
2 Asymptotic Analysis
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Stochastic Processes and their Applications
2 Bulletin of the American Mathematical Society. New Series
2 Calculus of Variations and Partial Differential Equations
...and 81 more Serials
all top 5

Cited in 50 Fields

1,052 Partial differential equations (35-XX)
172 Global analysis, analysis on manifolds (58-XX)
149 Systems theory; control (93-XX)
143 Fluid mechanics (76-XX)
128 Quantum theory (81-XX)
107 Operator theory (47-XX)
88 Dynamical systems and ergodic theory (37-XX)
69 Harmonic analysis on Euclidean spaces (42-XX)
51 Probability theory and stochastic processes (60-XX)
34 Functional analysis (46-XX)
34 Numerical analysis (65-XX)
33 Mechanics of deformable solids (74-XX)
26 Differential geometry (53-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
21 Statistical mechanics, structure of matter (82-XX)
20 Number theory (11-XX)
20 Ordinary differential equations (34-XX)
19 Relativity and gravitational theory (83-XX)
16 Special functions (33-XX)
12 Mechanics of particles and systems (70-XX)
12 Optics, electromagnetic theory (78-XX)
9 Topological groups, Lie groups (22-XX)
9 Measure and integration (28-XX)
9 Integral transforms, operational calculus (44-XX)
7 Abstract harmonic analysis (43-XX)
6 Geophysics (86-XX)
6 Information and communication theory, circuits (94-XX)
5 Real functions (26-XX)
5 Functions of a complex variable (30-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Potential theory (31-XX)
4 Approximations and expansions (41-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Biology and other natural sciences (92-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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