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Author ID: burq.nicolas Recent zbMATH articles by "Burq, Nicolas"
Published as: Burq, Nicolas; Burq, N.
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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
4 Proceedings of the American Mathematical Society
3 American Journal of Mathematics
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 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Mathematische Zeitschrift
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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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
1 Portugaliae Mathematica

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 2,753 times in 1,540 Documents Cited by Year
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
208
2004
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
148
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
137
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
135
2003
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
121
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
107
1997
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
105
2008
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
91
2011
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
87
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
82
2004
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
78
2005
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
75
2007
Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368
Burq, Nicolas
65
2002
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
60
2002
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
59
2014
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
57
2005
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
54
2008
On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074
Burq, Nicolas; Planchon, Fabrice
54
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
50
2013
Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019
Burq, Nicolas
49
2002
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
45
2004
Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024
Burq, N.
45
2004
Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020
Burq, N.
45
2003
Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009
Burq, N.
43
1997
Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015
Burq, Nicolas; Hitrik, Michael
39
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
31
2001
Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102
Burq, Nicolas
30
1997
Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227
Alazard, T.; Burq, N.; Zuily, C.
29
2016
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
27
2013
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
26
2003
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
26
2018
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
26
2012
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew
25
2010
Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210
Burq, Nicolas; Planchon, Fabrice
23
2009
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
22
2005
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
22
2011
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
22
2013
Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168
Burq, Nicolas; Joly, Romain
21
2016
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
21
2001
Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062
Burq, Nicolas; Christianson, Hans
20
2015
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
18
2007
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
18
2015
Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264
Burq, Nicolas; Planchon, Fabrice
17
2006
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
17
2013
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
15
2017
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
15
2007
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
14
1993
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
13
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
12
2010
Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016
Burq, N.
12
2005
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
11
2003
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030
Burq, Nicolas
11
2020
Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011
Burq, N.; Zuily, C.
9
2016
Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033
Burq, Nicolas; Zuily, Claude
9
2015
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
9
2020
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
8
2012
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
8
2014
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
8
2004
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
8
2019
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
7
1998
Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040
Burq, N.
6
1991
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
6
2001
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
6
2013
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
Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099
Burq, Nicolas
5
1997
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
5
2004
Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072
Burq, Nicolas
5
2011
The Benjamin-Ono equation in energy space. Zbl 1127.35302
Burq, Nicolas; Planchon, Fabrice
5
2006
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
5
2002
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
5
2021
Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013
Burq, Nicolas; Hassell, Andrew; Wunsch, Jared
4
2007
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
4
1992
Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026
Burq, Nicolas; Sun, Chenmin
4
2022
Propagation of smallness and control for heat equations. Zbl 1514.35068
Burq, Nicolas; Moyano, Iván
4
2023
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
Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066
Burq, Nicolas
3
2011
Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337
Burq, Nicolas; Sun, Chenmin
3
2022
From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013
Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya
3
2018
Decay for the Kelvin-Voigt damped wave equation: piecewise smooth damping. Zbl 1522.35064
Burq, Nicolas; Sun, Chenmin
3
2022
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
3
2021
Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342
Burq, Nicolas
2
2013
Cauchy theory for the water waves system in an analytic framework. Zbl 1496.35287
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2
2022
Cauchy problem and Kato smoothing for water waves with surface tension. Zbl 1225.35040
Alazard, T.; Burq, N.; Zuily, C.
1
2010
A remark on quantitative unique continuation from subsets of the boundary of positive measure. Zbl 1520.35048
Burq, Nicolas; Zuily, Claude
1
2023
Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211
Burq, N.; Ducomet, B.
1
2020
Propagation of smallness and control for heat equations. Zbl 1514.35068
Burq, Nicolas; Moyano, Iván
4
2023
A remark on quantitative unique continuation from subsets of the boundary of positive measure. Zbl 1520.35048
Burq, Nicolas; Zuily, Claude
1
2023
Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026
Burq, Nicolas; Sun, Chenmin
4
2022
Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337
Burq, Nicolas; Sun, Chenmin
3
2022
Decay for the Kelvin-Voigt damped wave equation: piecewise smooth damping. Zbl 1522.35064
Burq, Nicolas; Sun, Chenmin
3
2022
Cauchy theory for the water waves system in an analytic framework. Zbl 1496.35287
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2
2022
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
5
2021
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
3
2021
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030
Burq, Nicolas
11
2020
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
9
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
8
2019
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
26
2018
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
13
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
3
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
15
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.
29
2016
Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168
Burq, Nicolas; Joly, Romain
21
2016
Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011
Burq, N.; Zuily, C.
9
2016
Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062
Burq, Nicolas; Christianson, Hans
20
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
18
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.
121
2014
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
59
2014
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
8
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
50
2013
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
27
2013
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
22
2013
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
17
2013
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
6
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
26
2012
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
8
2012
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
91
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
3
2011
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew
25
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
12
2010
Cauchy problem and Kato smoothing for water waves with surface tension. Zbl 1225.35040
Alazard, T.; Burq, N.; Zuily, C.
1
2010
Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210
Burq, Nicolas; Planchon, Fabrice
23
2009
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
148
2008
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
105
2008
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
54
2008
On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074
Burq, Nicolas; Planchon, Fabrice
54
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
75
2007
Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015
Burq, Nicolas; Hitrik, Michael
39
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.
15
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
17
2006
The Benjamin-Ono equation in energy space. Zbl 1127.35302
Burq, Nicolas; Planchon, Fabrice
5
2006
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
78
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
57
2005
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
22
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.
208
2004
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
87
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
82
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
45
2004
Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024
Burq, N.
45
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
135
2003
Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020
Burq, N.
45
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
26
2003
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
11
2003
Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368
Burq, Nicolas
65
2002
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
60
2002
Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019
Burq, Nicolas
49
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
5
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
31
2001
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
21
2001
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
6
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
137
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
7
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
107
1997
Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009
Burq, N.
43
1997
Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102
Burq, Nicolas
30
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
14
1993
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
4
1992
Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040
Burq, N.
6
1991
all top 5

Cited by 1,259 Authors

50 Tzvetkov, Nikolay
49 Burq, Nicolas
31 Oh, Tadahiro
23 Alazard, Thomas
22 Cavalcanti, Marcelo Moreira
22 Zuazua, Enrique
18 Galkowski, Jeffrey
17 Sogge, Christopher D.
17 Visciglia, Nicola
17 Zhang, Junyong
16 Christianson, Hans
16 Domingos Cavalcanti, Valéria Neves
16 Spence, Euan A.
16 Zheng, Jiqiang
15 Tataru, Daniel
15 Wunsch, Jared
14 Léautaud, Matthieu
14 Metcalfe, Jason L.
14 Zworski, Maciej
13 Carles, Rémi
13 D’Ancona, Piero
13 Datchev, Kiril R.
13 Gerard, Patrick
13 Laurent, Camille
12 Ammari, Kais
12 Cacciafesta, Federico
12 Mizutani, Haruya
12 Royer, Julien
12 Sun, Chenmin
12 Tacy, Melissa
12 Thomann, Laurent
11 Bony, Jean-François
11 Fanelli, Luca
11 Ionescu, Alexandru D.
11 Privat, Yannick
10 Bourgain, Jean
10 de Suzzoni, Anne-Sophie
10 Hassell, Andrew
10 Ifrim, Mihaela
10 Pocovnicu, Oana
10 Robbiano, Luc
10 Sohinger, Vedran
10 Staffilani, Gigliola
10 Trélat, Emmanuel
10 Wang, Yuzhao
9 Berti, Massimiliano
9 Blair, Matthew D.
9 Bouclet, Jean-Marc
9 Dinh, Van Duong
9 Ervedoza, Sylvain
9 Lafontaine, David
9 Macià, Fabricio
9 Marzuola, Jeremy Louis
9 Rivière, Gabriel
9 Vodev, Georgi
8 Alabau-Boussouira, Fatiha
8 Aloui, Lassaad
8 Brzeźniak, Zdzisław
8 Deng, Yu
8 Duyckaerts, Thomas
8 Fu, Xiaoyu
8 Georgiev, Vladimir S.
8 Gonzalez Martinez, Victor Hugo
8 Hassine, Fathi
8 Kenig, Carlos Eduardo
8 Kukavica, Igor
8 Linares, Felipe
8 Miao, Changxing
8 Pierfelice, Vittoria
8 Planchon, Fabrice
8 Ponce, Gustavo
8 Toth, John Andrew
8 Zelditch, Steve
8 Zuily, Claude
7 Corrêa, Wellington José
7 Dyatlov, Semyon
7 Feireisl, Eduard
7 Germain, Pierre
7 Guo, Zihua
7 Ibrahim, Slim
7 Khenissi, Moez
7 Nahmod, Andrea R.
7 Ning, Zhenhu
7 Pausader, Benoît
7 Pusateri, Fabio
7 Rousset, Frédéric
7 Schippa, Robert
7 Tcheugoué Tébou, Louis Roder
7 Tucsnak, Marius
7 Wang, Chengbo
7 Yang, Kai
7 Zhang, Junyan
7 Zhang, Zhifei
6 Banica, Valeria
6 Daoulatli, Moez
6 Han, Xiaolong
6 Hani, Zaher
6 Herr, Sebastian
6 Krieger, Joachim
6 Lu, Jing
...and 1,159 more Authors
all top 5

Cited in 220 Serials

90 Journal of Differential Equations
76 Communications in Partial Differential Equations
73 Communications in Mathematical Physics
70 Journal of Functional Analysis
42 Journal of Mathematical Analysis and Applications
38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
36 SIAM Journal on Mathematical Analysis
35 Proceedings of the American Mathematical Society
33 Archive for Rational Mechanics and Analysis
30 Discrete and Continuous Dynamical Systems
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 Transactions of the American Mathematical Society
25 Journal of Mathematical Physics
25 Analysis & PDE
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 Advances in Mathematics
21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Communications on Pure and Applied Analysis
20 Annales de l’Institut Fourier
20 Mathematische Annalen
20 Journal of the European Mathematical Society (JEMS)
20 Annales Henri Poincaré
19 Nonlinearity
18 Inventiones Mathematicae
18 SIAM Journal on Control and Optimization
17 The Journal of Geometric Analysis
16 Duke Mathematical Journal
16 Pure and Applied Analysis
15 Séminaire Laurent Schwartz. EDP et Applications
14 Communications on Pure and Applied Mathematics
13 Journal of Spectral Theory
12 Applied Mathematics and Optimization
12 Bulletin de la Société Mathématique de France
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Stochastic and Partial Differential Equations. Analysis and Computations
10 Applicable Analysis
10 Mathematische Zeitschrift
10 Journal of Evolution Equations
10 Journal of Hyperbolic Differential Equations
9 Memoirs of the American Mathematical Society
9 Revista Matemática Iberoamericana
9 Annals of PDE
8 Journal of the American Mathematical Society
8 Geometric and Functional Analysis. GAFA
8 Journal of Dynamics and Differential Equations
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Water Waves
7 Mathematical Methods in the Applied Sciences
7 Numerische Mathematik
7 Asymptotic Analysis
7 Forum Mathematicum
7 Communications in Contemporary Mathematics
7 Discrete and Continuous Dynamical Systems. Series B
7 Science China. Mathematics
6 Indiana University Mathematics Journal
6 Mathematische Nachrichten
6 Systems & Control Letters
6 The Journal of Fourier Analysis and Applications
6 Journal de l’École Polytechnique – Mathématiques
5 American Journal of Mathematics
5 MCSS. Mathematics of Control, Signals, and Systems
5 Potential Analysis
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
5 Annales Henri Lebesgue
4 Inverse Problems
4 Journal d’Analyse Mathématique
4 Journal of the Mathematical Society of Japan
4 Osaka Journal of Mathematics
4 Chinese Annals of Mathematics. Series B
4 Probability Theory and Related Fields
4 Calculus of Variations and Partial Differential Equations
4 Journal of Mathematical Fluid Mechanics
4 Acta Mathematica Sinica. English Series
4 Kyoto Journal of Mathematics
4 Forum of Mathematics, Pi
4 Evolution Equations and Control Theory
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Mathematics of Computation
3 Reviews in Mathematical Physics
3 Integral Equations and Operator Theory
3 Applied Mathematics Letters
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Bulletin of the American Mathematical Society. New Series
3 Electronic Journal of Differential Equations (EJDE)
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Nonlinear Analysis. Real World Applications
3 Foundations of Computational Mathematics
3 Portugaliae Mathematica. Nova Série
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Boundary Value Problems
3 Journal of Pseudo-Differential Operators and Applications
3 Mathematics in Engineering
2 Analysis Mathematica
2 Computer Methods in Applied Mechanics and Engineering
2 Russian Mathematical Surveys
...and 120 more Serials
all top 5

Cited in 49 Fields

1,390 Partial differential equations (35-XX)
204 Global analysis, analysis on manifolds (58-XX)
198 Fluid mechanics (76-XX)
196 Systems theory; control (93-XX)
153 Quantum theory (81-XX)
139 Operator theory (47-XX)
118 Dynamical systems and ergodic theory (37-XX)
103 Harmonic analysis on Euclidean spaces (42-XX)
84 Probability theory and stochastic processes (60-XX)
54 Numerical analysis (65-XX)
45 Mechanics of deformable solids (74-XX)
39 Functional analysis (46-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
33 Differential geometry (53-XX)
29 Statistical mechanics, structure of matter (82-XX)
27 Relativity and gravitational theory (83-XX)
24 Ordinary differential equations (34-XX)
23 Number theory (11-XX)
20 Optics, electromagnetic theory (78-XX)
17 Special functions (33-XX)
15 Real functions (26-XX)
15 Measure and integration (28-XX)
13 Topological groups, Lie groups (22-XX)
12 Abstract harmonic analysis (43-XX)
12 Mechanics of particles and systems (70-XX)
10 Integral transforms, operational calculus (44-XX)
8 Information and communication theory, circuits (94-XX)
7 Approximations and expansions (41-XX)
7 Geophysics (86-XX)
6 Functions of a complex variable (30-XX)
6 Integral equations (45-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Potential theory (31-XX)
5 Difference and functional equations (39-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Combinatorics (05-XX)
4 Operations research, mathematical programming (90-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Nonassociative rings and algebras (17-XX)
3 Geometry (51-XX)
3 Biology and other natural sciences (92-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Statistics (62-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

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