×
Compute Distance To:
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: 98 Publications since 1991, including 2 Books
Co-Authors: 33 Co-Authors with 71 Joint Publications
786 Co-Co-Authors
all top 5

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
3 Journal of the European Mathematical Society (JEMS)
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 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis & PDE
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 Tokyo Journal of Mathematics
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 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 AMRX. Applied Mathematics Research eXpress
1 Astérisque
1 RIMS Kôkyûroku Bessatsu
1 Kyoto Journal of Mathematics
1 Pure and Applied Analysis
1 Annales Henri Lebesgue

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 2,370 times in 1,326 Documents Cited by Year
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
184
2004
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
128
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
115
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
115
2003
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
99
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
93
1997
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
88
2008
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
79
2004
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
74
2011
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
73
2004
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
70
2007
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
70
2005
Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368
Burq, Nicolas
57
2002
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
54
2002
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
53
2014
On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074
Burq, Nicolas; Planchon, Fabrice
50
2008
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
48
2005
Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019
Burq, Nicolas
46
2002
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
46
2008
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
45
2013
Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009
Burq, N.
39
1997
Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020
Burq, N.
39
2003
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
38
2004
Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024
Burq, N.
37
2004
Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015
Burq, Nicolas; Hitrik, Michael
36
2007
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
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
25
2003
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
25
2012
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew
24
2010
Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102
Burq, Nicolas
23
1997
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
22
2011
Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210
Burq, Nicolas; Planchon, Fabrice
22
2009
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
22
2013
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
21
2005
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
21
2018
Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227
Alazard, T.; Burq, N.; Zuily, C.
21
2016
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
19
2001
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
18
2013
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
18
2007
Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062
Burq, Nicolas; Christianson, Hans
16
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
16
2015
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
15
2013
Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264
Burq, Nicolas; Planchon, Fabrice
14
2006
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
14
2007
Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168
Burq, Nicolas; Joly, Romain
13
2016
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
12
2017
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
11
2018
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
11
2010
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033
Burq, Nicolas; Zuily, Claude
9
2015
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
8
2004
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
7
2012
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030
Burq, Nicolas
6
2020
A stationary phase type estimate. Zbl 1364.35012
Alazard, T.; Burq, N.; Zuily, C.
6
2017
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
6
2005
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
6
1998
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
6
2014
Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011
Burq, N.; Zuily, C.
6
2016
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
5
2004
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
5
2020
Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040
Burq, N.
5
1991
Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099
Burq, Nicolas
5
1997
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
5
2001
Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072
Burq, Nicolas
5
2011
Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013
Burq, Nicolas; Hassell, Andrew; Wunsch, Jared
4
2007
The Benjamin-Ono equation in energy space. Zbl 1127.35302
Burq, Nicolas; Planchon, Fabrice
4
2006
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
4
2019
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
4
2013
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
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
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
3
2004
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
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
2
2021
Randomization improved Strichartz estimates and global well-posedness for supercritical data. (Estimations de Strichartz améliorées par randomisation et EDPs bien-posées avec données initiales surcritiques.) Zbl 1485.35009
Burq, Nicolas; Krieger, Joachim
2
2021
Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211
Burq, N.; Ducomet, B.
1
2020
Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026
Burq, Nicolas; Sun, Chenmin
1
2022
Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337
Burq, Nicolas; Sun, Chenmin
1
2022
Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026
Burq, Nicolas; Sun, Chenmin
1
2022
Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337
Burq, Nicolas; Sun, Chenmin
1
2022
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
2
2021
Randomization improved Strichartz estimates and global well-posedness for supercritical data. (Estimations de Strichartz améliorées par randomisation et EDPs bien-posées avec données initiales surcritiques.) Zbl 1485.35009
Burq, Nicolas; Krieger, Joachim
2
2021
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030
Burq, Nicolas
6
2020
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
5
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
4
2019
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
21
2018
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
11
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
12
2017
A stationary phase type estimate. Zbl 1364.35012
Alazard, T.; Burq, N.; Zuily, C.
6
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.
21
2016
Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168
Burq, Nicolas; Joly, Romain
13
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
16
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
16
2015
Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033
Burq, Nicolas; Zuily, Claude
9
2015
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
99
2014
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
53
2014
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
6
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
45
2013
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
22
2013
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
18
2013
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
15
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
25
2012
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
7
2012
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
74
2011
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
22
2011
Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072
Burq, Nicolas
5
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
24
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
11
2010
Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210
Burq, Nicolas; Planchon, Fabrice
22
2009
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
128
2008
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
88
2008
On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074
Burq, Nicolas; Planchon, Fabrice
50
2008
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
46
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
70
2007
Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015
Burq, Nicolas; Hitrik, Michael
36
2007
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
18
2007
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
14
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
14
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.
70
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
48
2005
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
21
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.
184
2004
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
79
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
73
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
38
2004
Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024
Burq, N.
37
2004
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
8
2004
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
5
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
115
2003
Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020
Burq, N.
39
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
25
2003
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368
Burq, Nicolas
57
2002
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
54
2002
Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019
Burq, Nicolas
46
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
5
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
115
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
6
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
93
1997
Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009
Burq, N.
39
1997
Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102
Burq, Nicolas
23
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.
5
1991
all top 5

Cited by 1,123 Authors

44 Tzvetkov, Nikolay
43 Burq, Nicolas
29 Oh, Tadahiro
22 Alazard, Thomas
20 Cavalcanti, Marcelo Moreira
20 Zuazua, Enrique
17 Sogge, Christopher D.
16 Christianson, Hans
15 Galkowski, Jeffrey
15 Tataru, Daniel
15 Zhang, Junyong
15 Zheng, Jiqiang
14 Domingos Cavalcanti, Valéria Neves
14 Léautaud, Matthieu
14 Metcalfe, Jason L.
14 Visciglia, Nicola
14 Zworski, Maciej
13 Gerard, Patrick
13 Laurent, Camille
13 Wunsch, Jared
12 Carles, Rémi
12 Datchev, Kiril R.
12 Mizutani, Haruya
12 Spence, Euan A.
12 Thomann, Laurent
11 Cacciafesta, Federico
11 D’Ancona, Piero
11 Fanelli, Luca
11 Ionescu, Alexandru D.
11 Sun, Chenmin
11 Tacy, Melissa
10 Bony, Jean-François
10 de Suzzoni, Anne-Sophie
10 Hassell, Andrew
10 Ifrim, Mihaela
10 Royer, Julien
10 Wang, Yuzhao
9 Ammari, Kais
9 Blair, Matthew D.
9 Bouclet, Jean-Marc
9 Bourgain, Jean
9 Dinh, Van Duong
9 Marzuola, Jeremy Louis
9 Pocovnicu, Oana
9 Privat, Yannick
9 Vodev, Georgi
8 Alabau-Boussouira, Fatiha
8 Aloui, Lassaad
8 Deng, Yu
8 Duyckaerts, Thomas
8 Ervedoza, Sylvain
8 Fu, Xiaoyu
8 Linares, Felipe
8 Macià, Fabricio
8 Pierfelice, Vittoria
8 Ponce, Gustavo
8 Sohinger, Vedran
8 Toth, John Andrew
8 Trélat, Emmanuel
7 Berti, Massimiliano
7 Brzeźniak, Zdzisław
7 Feireisl, Eduard
7 Germain, Pierre
7 Gonzalez Martinez, Victor Hugo
7 Kenig, Carlos Eduardo
7 Khenissi, Moez
7 Pausader, Benoît
7 Planchon, Fabrice
7 Rivière, Gabriel
7 Staffilani, Gigliola
7 Wang, Chengbo
7 Zelditch, Steve
6 Corrêa, Wellington José
6 Dyatlov, Semyon
6 Guo, Zihua
6 Han, Xiaolong
6 Hani, Zaher
6 Herr, Sebastian
6 Ibrahim, Slim
6 Kukavica, Igor
6 Lafontaine, David
6 Lü, Qi
6 Miao, Changxing
6 Nahmod, Andrea R.
6 Ning, Zhenhu
6 Nonnenmacher, Stéphane
6 Pusateri, Fabio
6 Salort, Delphine
6 Schippa, Robert
6 Tcheugoué Tébou, Louis Roder
6 Tohaneanu, Mihai
6 Tucsnak, Marius
6 Yan, Wei
6 Yang, Kai
6 Zhang, Zhifei
6 Zuily, Claude
5 Alexandrova, Ivana
5 Banica, Valeria
5 Bulut, Aynur
5 Canzani, Yaiza
...and 1,023 more Authors
all top 5

Cited in 199 Serials

78 Journal of Differential Equations
73 Communications in Partial Differential Equations
69 Communications in Mathematical Physics
60 Journal of Functional Analysis
37 Journal of Mathematical Analysis and Applications
34 Proceedings of the American Mathematical Society
32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Archive for Rational Mechanics and Analysis
30 Discrete and Continuous Dynamical Systems
27 SIAM Journal on Mathematical Analysis
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Transactions of the American Mathematical Society
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Journal of Mathematical Physics
22 Advances in Mathematics
22 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 Analysis & PDE
20 Annales de l’Institut Fourier
20 Mathematische Annalen
18 Inventiones Mathematicae
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Journal of the European Mathematical Society (JEMS)
18 Communications on Pure and Applied Analysis
17 Annales Henri Poincaré
16 Duke Mathematical Journal
15 SIAM Journal on Control and Optimization
15 The Journal of Geometric Analysis
15 Séminaire Laurent Schwartz. EDP et Applications
12 Bulletin de la Société Mathématique de France
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Journal of Spectral Theory
11 Pure and Applied Analysis
10 Communications on Pure and Applied Mathematics
10 Applied Mathematics and Optimization
10 Stochastic and Partial Differential Equations. Analysis and Computations
9 Applicable Analysis
9 Nonlinearity
9 Journal of Hyperbolic Differential Equations
8 Mathematische Zeitschrift
8 Journal of the American Mathematical Society
8 Geometric and Functional Analysis. GAFA
7 Memoirs of the American Mathematical Society
7 Numerische Mathematik
7 Revista Matemática Iberoamericana
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Communications in Contemporary Mathematics
7 Journal of Evolution Equations
7 Annals of PDE
7 Water Waves
6 Forum Mathematicum
6 Journal of Dynamics and Differential Equations
6 The Journal of Fourier Analysis and Applications
6 Discrete and Continuous Dynamical Systems. Series B
6 Science China. Mathematics
6 Journal de l’École Polytechnique – Mathématiques
5 Systems & Control Letters
5 MCSS. Mathematics of Control, Signals, and Systems
5 Annals of Mathematics. Second Series
5 Journal of the Institute of Mathematics of Jussieu
5 Mathematical Control and Related Fields
5 Forum of Mathematics, Sigma
4 Journal d’Analyse Mathématique
4 American Journal of Mathematics
4 Journal of the Mathematical Society of Japan
4 Chinese Annals of Mathematics. Series B
4 Probability Theory and Related Fields
4 Potential Analysis
4 Acta Mathematica Sinica. English Series
4 Kyoto Journal of Mathematics
4 Evolution Equations and Control Theory
3 Computers & Mathematics with Applications
3 Inverse Problems
3 Israel Journal of Mathematics
3 Mathematics of Computation
3 Integral Equations and Operator Theory
3 Osaka Journal of Mathematics
3 Applied Mathematics Letters
3 Asymptotic Analysis
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Bulletin of the American Mathematical Society. New Series
3 Calculus of Variations and Partial Differential Equations
3 Electronic Journal of Differential Equations (EJDE)
3 Journal of Mathematical Fluid Mechanics
3 Nonlinear Analysis. Real World Applications
3 Foundations of Computational Mathematics
3 Portugaliae Mathematica. Nova Série
3 Journal of Pseudo-Differential Operators and Applications
3 Forum of Mathematics, Pi
3 Mathematics in Engineering
3 Annales Henri Lebesgue
2 Analysis Mathematica
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 Reviews in Mathematical Physics
2 The Annals of Probability
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
...and 99 more Serials
all top 5

Cited in 49 Fields

1,185 Partial differential equations (35-XX)
189 Global analysis, analysis on manifolds (58-XX)
169 Systems theory; control (93-XX)
164 Fluid mechanics (76-XX)
142 Quantum theory (81-XX)
123 Operator theory (47-XX)
99 Dynamical systems and ergodic theory (37-XX)
85 Harmonic analysis on Euclidean spaces (42-XX)
66 Probability theory and stochastic processes (60-XX)
44 Numerical analysis (65-XX)
38 Functional analysis (46-XX)
38 Mechanics of deformable solids (74-XX)
28 Differential geometry (53-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
23 Ordinary differential equations (34-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Number theory (11-XX)
22 Relativity and gravitational theory (83-XX)
17 Special functions (33-XX)
14 Optics, electromagnetic theory (78-XX)
12 Topological groups, Lie groups (22-XX)
12 Mechanics of particles and systems (70-XX)
11 Measure and integration (28-XX)
11 Abstract harmonic analysis (43-XX)
10 Real functions (26-XX)
9 Integral transforms, operational calculus (44-XX)
7 Geophysics (86-XX)
7 Information and communication theory, circuits (94-XX)
6 Approximations and expansions (41-XX)
5 Functions of a complex variable (30-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Potential theory (31-XX)
4 Integral equations (45-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.