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Author ID: martel.yvan Recent zbMATH articles by "Martel, Yvan"
Published as: Martel, Yvan; Martel, Y.
Homepage: https://lmv.math.cnrs.fr/laboratoire/annuaire/yvan-martel/
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 93 Publications since 1995, including 6 Additional arXiv Preprints
Reviewing Activity: 16 Reviews
Co-Authors: 32 Co-Authors with 78 Joint Publications
739 Co-Co-Authors
all top 5

Serials

6 Communications in Mathematical Physics
5 Archive for Rational Mechanics and Analysis
4 Discrete and Continuous Dynamical Systems
3 Mathematische Annalen
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Revista Matemática Iberoamericana
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Journal of the American Mathematical Society
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Séminaire Équations aux Dérivées Partielles
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Séminaire Laurent Schwartz. EDP et Applications
1 Communications on Pure and Applied Mathematics
1 Houston Journal of Mathematics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Russian Mathematical Surveys
1 Acta Mathematica
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Gazette des Mathématiciens
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Portugaliae Mathematica
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journal of Dynamics and Differential Equations
1 Advances in Mathematical Sciences and Applications
1 Computational and Applied Mathematics
1 Bulletin des Sciences Mathématiques
1 Advances in Differential Equations
1 Revista Matemática Complutense
1 Annales Henri Poincaré
1 Advanced Nonlinear Studies
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Dynamics of Partial Differential Equations
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Nonlinear Analysis. Theory, Methods & Applications
1 Annals of PDE
1 Tunisian Journal of Mathematics
1 Probability and Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 2,070 times in 862 Documents Cited by Year
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
131
1996
Stability and asymptotic stability for subcritical gKdV equations. Zbl 1017.35098
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng
111
2002
Existence versus instantaneous blow-up for linear heat equations with singular potentials. (Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier.) Zbl 0940.35105
Cabré, Xavier; Martel, Yvan
99
1999
Asymptotic stability of solitons for subcritical generalized KdV equations. Zbl 0981.35073
Martel, Yvan; Merle, Frank
93
2001
Asymptotic \(N\)-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations. Zbl 1090.35158
Martel, Yvan
93
2005
A Liouville theorem for the critical generalized Korteweg-de Vries equation. Zbl 0963.37058
Martel, Yvan; Merle, Frank
77
2000
Blow up in finite time and dynamics of blow up solutions for the \(L^2\)-critical generalized KdV equation. Zbl 0996.35064
Martel, Yvan; Merle, Frank
74
2002
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
Martel, Y.; Merle, F.
71
2001
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
71
2005
Multi solitary waves for nonlinear Schrödinger equations. Zbl 1133.35093
Martel, Yvan; Merle, Frank
70
2006
Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. Zbl 1099.35134
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng
66
2006
Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. Zbl 1387.35419
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
66
2017
Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations. Zbl 1273.35234
Côte, Raphaël; Martel, Yvan; Merle, Frank
65
2011
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation. Zbl 1005.35081
Martel, Yvan; Merle, Frank
61
2002
Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton. Zbl 1301.35137
Martel, Yvan; Merle, Frank; Raphaël, Pierre
56
2014
Asymptotic stability of solitons of the gKdV equations with general nonlinearity. Zbl 1153.35068
Martel, Yvan; Merle, Frank
47
2008
Description of two soliton collision for the quartic gKdV equation. Zbl 1300.37045
Martel, Yvan; Merle, Frank
39
2011
Blow up for the critical gKdV equation. III: Exotic regimes. Zbl 1331.35307
Martel, Yvan; Merle, Frank; Raphaël, Pierre
39
2015
Blow up for the critical gKdV equation. II: Minimal mass dynamics. Zbl 1326.35320
Martel, Yvan; Merle, Frank; Raphaël, Pierre
38
2015
Weak eigenfunctions for the linearization of extremal elliptic problems. Zbl 0908.35044
Cabré, Xavier; Martel, Yvan
37
1998
Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations. Zbl 1230.35102
Kenig, C. E.; Martel, Y.; Robbiano, L.
36
2011
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
34
2017
Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133
Kenig, Carlos E.; Martel, Yvan
32
2009
Two-soliton solutions to the three-dimensional gravitational Hartree equation. Zbl 1193.35163
Krieger, Joachim; Raphaël, Pierre; Martel, Yvan
32
2009
Inelastic interaction of nearly equal solitons for the quartic gKdV equation. Zbl 1230.35121
Martel, Yvan; Merle, Frank
31
2011
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation. Zbl 1403.35280
Martel, Yvan; Raphaël, Pierre
30
2018
Uniqueness of weak extremal solutions of nonlinear elliptic problems. Zbl 0884.35037
Martel, Yvan
26
1997
Nonexistence of blow-up solution with minimal \(L^2\)-mass for the critical gKdV equation. Zbl 1033.35102
Martel, Yvan; Merle, Frank
26
2002
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation. Zbl 1354.35141
Le Coz, Stefan; Martel, Yvan; Raphaël, Pierre
24
2016
Stability of two soliton collision for nonintegrable gKdV equations. Zbl 1179.35291
Martel, Yvan; Merle, Frank
22
2009
Linear problems related to asymptotic stability of solitons of the generalized KdV equations. Zbl 1126.35055
Martel, Yvan
21
2006
Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315
Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre
21
2016
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
21
2021
Construction of multi-solitons for the energy-critical wave equation in dimension 5. Zbl 1359.35166
Martel, Yvan; Merle, Frank
19
2016
Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation. Zbl 1391.35077
Martel, Yvan; Pilod, Didier
19
2017
Multi-travelling waves for the nonlinear Klein-Gordon equation. Zbl 1403.35260
Côte, Raphaël; Martel, Yvan
18
2018
Complete blow up and global behaviour of solutions of \(u_t- \Delta u=g(u)\). Zbl 0914.35057
Martel, Yvan
17
1998
Stability of \(N\) solitary waves for the generalized BBM equations. Zbl 1080.35116
El Dika, Khaled; Martel, Yvan
15
2004
Refined asymptotics around solitons for gKdV equations. Zbl 1137.35062
Martel, Yvan; Merle, Frank
14
2008
Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces. Zbl 0872.35102
Martel, Yvan
13
1997
Non existence of \(L^2\)-compact solutions of the Kadomtsev-Petviashvili II equation. Zbl 1330.35389
de Bouard, Anne; Martel, Yvan
12
2004
Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. Zbl 1486.35122
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
12
2022
Description of the inelastic collision of two solitary waves for the BBM equation. Zbl 1200.35267
Martel, Yvan; Merle, Frank; Mizumachi, Tetsu
11
2010
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
11
2019
Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. Zbl 1491.35292
Duyckaerts, Thomas; Kenig, Carlos; Martel, Yvan; Merle, Frank
9
2022
On asymptotic stability of nonlinear waves. Zbl 1475.35415
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
8
2017
Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5. Zbl 1471.35205
Jendrej, Jacek; Martel, Yvan
8
2020
Small time boundary behavior of solutions of parabolic equations with noncompatible data. Zbl 0959.35079
Martel, Yvan; Souplet, Philippe
7
2000
Global well-posedness in the energy space for a modified KP II equation via the Miura transform. Zbl 1106.35082
Kenig, Carlos E.; Martel, Yvan
7
2006
Smoothness and exponential decay of \(L^2\)-compact solutions of the generalized KdV equations. Zbl 1140.35558
Laurent, Celine; Martel, Yvan
7
2004
Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation. Zbl 1464.35028
Côte, Raphaël; Martel, Yvan; Yuan, Xu
7
2021
Construction of multibubble solutions for the critical gKdV equation. Zbl 1397.35249
Combet, Vianney; Martel, Yvan
7
2018
Inelasticity of soliton collisions for the 5D energy critical wave equation. Zbl 1408.76111
Martel, Yvan; Merle, Frank
7
2018
Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg-de Vries equation. Zbl 1219.35248
Martel, Yvan; Merle, Frank
6
2011
Inelastic interaction of nearly equal solitons for the BBM equation. Zbl 1188.35165
Martel, Yvan; Merle, Frank
6
2010
Near soliton dynamics and singularity formation for \( L^2\) critical problems. Zbl 1304.35650
Martel, Y.; Merle, F.; Raphaël, P.; Szeftel, J.
6
2014
On the nonexistence of pure multi-solitons for the quartic gKdV equation. Zbl 1315.35191
Martel, Yvan; Merle, Frank
6
2015
Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation. Zbl 1319.35224
Martel, Yvan; Merle, Frank; Raphaël, Pierre
6
2013
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
6
2020
Interaction of solitons from the PDE point of view. Zbl 1447.35007
Martel, Yvan
5
2018
Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode. Zbl 1510.35310
Martel, Yvan
5
2022
Smoothness and exponential decay of \(L^2\)-compact solutions of the generalized KdV equations. Zbl 1060.35125
Laurent, Celine; Martel, Yvan
4
2003
Note on coupled linear systems related to two soliton collision for the quartic gKdV equation. Zbl 1188.35164
Martel, Yvan; Merle, Frank
4
2008
Description and classification of \(2\)-solitary waves for nonlinear damped Klein-Gordon equations. Zbl 1477.35210
Côte, Raphaël; Martel, Yvan; Yuan, Xu; Zhao, Lifeng
4
2021
Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term. Zbl 1466.35323
Cazenave, Thierry; Han, Zheng; Martel, Yvan
4
2021
Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system. Zbl 1439.35442
Martel, Yvan; Nguyến, Tiễn Vinh
4
2020
Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation. Zbl 1423.35334
Combet, Vianney; Martel, Yvan
3
2017
Small time boundary estimates for solutions of the heat equation with non-compatible data. (Estimation optimales en temps petit et près de la frontière pour les solutions de l’équation de la chaleur avec données non compatibles.) Zbl 0990.35051
Martel, Yvan; Souplet, Philippe
2
1998
Dynamical instability of singular extremal solutions of nonlinear elliptic problems. Zbl 0932.35070
Martel, Yvan
2
1999
Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations. Zbl 1071.35114
Martel, Yvan; Merle, Frank
2
2004
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2
2019
Full family of flattening solitary waves for the critical generalized KdV equation. Zbl 1446.35176
Martel, Yvan; Pilod, Didier
2
2020
A wave equation with a Dirac distribution. Zbl 0849.35019
Martel, Yvan
1
1995
Qualitative results on the generalized critical KdV equation. Zbl 1044.35074
Martel, Yvan; Merle, Frank
1
2003
Multi-solitons and large time dynamics of some nonlinear dispersive equations. Zbl 1244.35118
Martel, Yvan
1
2005
Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. Zbl 1486.35122
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
12
2022
Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. Zbl 1491.35292
Duyckaerts, Thomas; Kenig, Carlos; Martel, Yvan; Merle, Frank
9
2022
Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode. Zbl 1510.35310
Martel, Yvan
5
2022
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
21
2021
Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation. Zbl 1464.35028
Côte, Raphaël; Martel, Yvan; Yuan, Xu
7
2021
Description and classification of \(2\)-solitary waves for nonlinear damped Klein-Gordon equations. Zbl 1477.35210
Côte, Raphaël; Martel, Yvan; Yuan, Xu; Zhao, Lifeng
4
2021
Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term. Zbl 1466.35323
Cazenave, Thierry; Han, Zheng; Martel, Yvan
4
2021
Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5. Zbl 1471.35205
Jendrej, Jacek; Martel, Yvan
8
2020
Solutions blowing up on any given compact set for the energy subcritical wave equation. Zbl 1437.35493
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
6
2020
Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system. Zbl 1439.35442
Martel, Yvan; Nguyến, Tiễn Vinh
4
2020
Full family of flattening solitary waves for the critical generalized KdV equation. Zbl 1446.35176
Martel, Yvan; Pilod, Didier
2
2020
Finite-time blowup for a Schrödinger equation with nonlinear source term. Zbl 1404.35405
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
11
2019
Solutions with prescribed local blow-up surface for the nonlinear wave equation. Zbl 1437.35494
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng
2
2019
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation. Zbl 1403.35280
Martel, Yvan; Raphaël, Pierre
30
2018
Multi-travelling waves for the nonlinear Klein-Gordon equation. Zbl 1403.35260
Côte, Raphaël; Martel, Yvan
18
2018
Construction of multibubble solutions for the critical gKdV equation. Zbl 1397.35249
Combet, Vianney; Martel, Yvan
7
2018
Inelasticity of soliton collisions for the 5D energy critical wave equation. Zbl 1408.76111
Martel, Yvan; Merle, Frank
7
2018
Interaction of solitons from the PDE point of view. Zbl 1447.35007
Martel, Yvan
5
2018
Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. Zbl 1387.35419
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
66
2017
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
34
2017
Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation. Zbl 1391.35077
Martel, Yvan; Pilod, Didier
19
2017
On asymptotic stability of nonlinear waves. Zbl 1475.35415
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
8
2017
Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation. Zbl 1423.35334
Combet, Vianney; Martel, Yvan
3
2017
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation. Zbl 1354.35141
Le Coz, Stefan; Martel, Yvan; Raphaël, Pierre
24
2016
Codimension one threshold manifold for the critical gKdV equation. Zbl 1336.35315
Martel, Yvan; Merle, Frank; Nakanishi, Kenji; Raphaël, Pierre
21
2016
Construction of multi-solitons for the energy-critical wave equation in dimension 5. Zbl 1359.35166
Martel, Yvan; Merle, Frank
19
2016
Blow up for the critical gKdV equation. III: Exotic regimes. Zbl 1331.35307
Martel, Yvan; Merle, Frank; Raphaël, Pierre
39
2015
Blow up for the critical gKdV equation. II: Minimal mass dynamics. Zbl 1326.35320
Martel, Yvan; Merle, Frank; Raphaël, Pierre
38
2015
On the nonexistence of pure multi-solitons for the quartic gKdV equation. Zbl 1315.35191
Martel, Yvan; Merle, Frank
6
2015
Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton. Zbl 1301.35137
Martel, Yvan; Merle, Frank; Raphaël, Pierre
56
2014
Near soliton dynamics and singularity formation for \( L^2\) critical problems. Zbl 1304.35650
Martel, Y.; Merle, F.; Raphaël, P.; Szeftel, J.
6
2014
Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation. Zbl 1319.35224
Martel, Yvan; Merle, Frank; Raphaël, Pierre
6
2013
Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations. Zbl 1273.35234
Côte, Raphaël; Martel, Yvan; Merle, Frank
65
2011
Description of two soliton collision for the quartic gKdV equation. Zbl 1300.37045
Martel, Yvan; Merle, Frank
39
2011
Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations. Zbl 1230.35102
Kenig, C. E.; Martel, Y.; Robbiano, L.
36
2011
Inelastic interaction of nearly equal solitons for the quartic gKdV equation. Zbl 1230.35121
Martel, Yvan; Merle, Frank
31
2011
Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg-de Vries equation. Zbl 1219.35248
Martel, Yvan; Merle, Frank
6
2011
Description of the inelastic collision of two solitary waves for the BBM equation. Zbl 1200.35267
Martel, Yvan; Merle, Frank; Mizumachi, Tetsu
11
2010
Inelastic interaction of nearly equal solitons for the BBM equation. Zbl 1188.35165
Martel, Yvan; Merle, Frank
6
2010
Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133
Kenig, Carlos E.; Martel, Yvan
32
2009
Two-soliton solutions to the three-dimensional gravitational Hartree equation. Zbl 1193.35163
Krieger, Joachim; Raphaël, Pierre; Martel, Yvan
32
2009
Stability of two soliton collision for nonintegrable gKdV equations. Zbl 1179.35291
Martel, Yvan; Merle, Frank
22
2009
Asymptotic stability of solitons of the gKdV equations with general nonlinearity. Zbl 1153.35068
Martel, Yvan; Merle, Frank
47
2008
Refined asymptotics around solitons for gKdV equations. Zbl 1137.35062
Martel, Yvan; Merle, Frank
14
2008
Note on coupled linear systems related to two soliton collision for the quartic gKdV equation. Zbl 1188.35164
Martel, Yvan; Merle, Frank
4
2008
Multi solitary waves for nonlinear Schrödinger equations. Zbl 1133.35093
Martel, Yvan; Merle, Frank
70
2006
Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. Zbl 1099.35134
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng
66
2006
Linear problems related to asymptotic stability of solitons of the generalized KdV equations. Zbl 1126.35055
Martel, Yvan
21
2006
Global well-posedness in the energy space for a modified KP II equation via the Miura transform. Zbl 1106.35082
Kenig, Carlos E.; Martel, Yvan
7
2006
Asymptotic \(N\)-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations. Zbl 1090.35158
Martel, Yvan
93
2005
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
71
2005
Multi-solitons and large time dynamics of some nonlinear dispersive equations. Zbl 1244.35118
Martel, Yvan
1
2005
Stability of \(N\) solitary waves for the generalized BBM equations. Zbl 1080.35116
El Dika, Khaled; Martel, Yvan
15
2004
Non existence of \(L^2\)-compact solutions of the Kadomtsev-Petviashvili II equation. Zbl 1330.35389
de Bouard, Anne; Martel, Yvan
12
2004
Smoothness and exponential decay of \(L^2\)-compact solutions of the generalized KdV equations. Zbl 1140.35558
Laurent, Celine; Martel, Yvan
7
2004
Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations. Zbl 1071.35114
Martel, Yvan; Merle, Frank
2
2004
Smoothness and exponential decay of \(L^2\)-compact solutions of the generalized KdV equations. Zbl 1060.35125
Laurent, Celine; Martel, Yvan
4
2003
Qualitative results on the generalized critical KdV equation. Zbl 1044.35074
Martel, Yvan; Merle, Frank
1
2003
Stability and asymptotic stability for subcritical gKdV equations. Zbl 1017.35098
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng
111
2002
Blow up in finite time and dynamics of blow up solutions for the \(L^2\)-critical generalized KdV equation. Zbl 0996.35064
Martel, Yvan; Merle, Frank
74
2002
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation. Zbl 1005.35081
Martel, Yvan; Merle, Frank
61
2002
Nonexistence of blow-up solution with minimal \(L^2\)-mass for the critical gKdV equation. Zbl 1033.35102
Martel, Yvan; Merle, Frank
26
2002
Asymptotic stability of solitons for subcritical generalized KdV equations. Zbl 0981.35073
Martel, Yvan; Merle, Frank
93
2001
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
Martel, Y.; Merle, F.
71
2001
A Liouville theorem for the critical generalized Korteweg-de Vries equation. Zbl 0963.37058
Martel, Yvan; Merle, Frank
77
2000
Small time boundary behavior of solutions of parabolic equations with noncompatible data. Zbl 0959.35079
Martel, Yvan; Souplet, Philippe
7
2000
Existence versus instantaneous blow-up for linear heat equations with singular potentials. (Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier.) Zbl 0940.35105
Cabré, Xavier; Martel, Yvan
99
1999
Dynamical instability of singular extremal solutions of nonlinear elliptic problems. Zbl 0932.35070
Martel, Yvan
2
1999
Weak eigenfunctions for the linearization of extremal elliptic problems. Zbl 0908.35044
Cabré, Xavier; Martel, Yvan
37
1998
Complete blow up and global behaviour of solutions of \(u_t- \Delta u=g(u)\). Zbl 0914.35057
Martel, Yvan
17
1998
Small time boundary estimates for solutions of the heat equation with non-compatible data. (Estimation optimales en temps petit et près de la frontière pour les solutions de l’équation de la chaleur avec données non compatibles.) Zbl 0990.35051
Martel, Yvan; Souplet, Philippe
2
1998
Uniqueness of weak extremal solutions of nonlinear elliptic problems. Zbl 0884.35037
Martel, Yvan
26
1997
Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces. Zbl 0872.35102
Martel, Yvan
13
1997
Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063
Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur
131
1996
A wave equation with a Dirac distribution. Zbl 0849.35019
Martel, Yvan
1
1995
all top 5

Cited by 867 Authors

49 Martel, Yvan
34 Merle, Frank
32 Muñoz, Claudio
30 Raphael, Pierre
17 Côte, Raphaël
14 Díaz Díaz, Jesús Ildefonso
14 Jendrej, Jacek
13 Kenig, Carlos Eduardo
12 Cuccagna, Scipio
11 Klein, Christian
11 Kombe, Ismail
10 Goldstein, Jerome Arthur
10 Maeda, Masaya
10 Ponce, Gustavo
10 Roudenko, Svetlana
9 Duyckaerts, Thomas
9 Holmer, Justin
9 Mizumachi, Tetsu
9 Wang, Zhong
9 Zaag, Hatem
8 Farah, Luiz Gustavo
8 Kowalczyk, Michał
8 Liu, Yue
8 Molinet, Luc
8 Palacios, José Manuel
8 Saut, Jean-Claude
8 Vazquez, Juan Luis
7 Alejo, Miguel A.
7 Cazenave, Thierry
7 Chen, Gong
7 Filippas, Stathis
7 Linares, Felipe
7 Rakotoson, Jean-Michel
7 Tertikas, Achilles
7 Yuan, Xu
6 Angulo Pava, Jaime
6 Canale, Anna
6 Collot, Charles
6 Cowan, Craig
6 Ghoul, Tej-Eddine
6 Kenzizi, Tarek
6 Lawrie, Andrew G. W.
6 Pusateri, Fabio
6 Qu, Changzheng
6 Souplet, Philippe
6 Zographopoulos, Nikolaos B.
5 Abdellaoui, Boumediene
5 Dávila, Juan
5 Ding, Danping
5 Forcella, Luigi
5 Iagar, Razvan Gabriel
5 Kim, Kihyun
5 Koch, Herbert
5 Krieger, Joachim
5 Le Coz, Stefan
5 Lenzmann, Enno
5 Liu, Xiaochuan
5 Liu, Xingxing
5 Naumkin, Ivan P.
5 Pigott, Brian
5 Reichel, Wolfgang
5 Rhandi, Abdelaziz
5 Sánchez, Ariel
5 Soffer, Avraham
5 Szeftel, Jérémie
5 Tang, Xingdong
5 Xu, Guixiang
5 Zhao, Lifeng
5 Zuazua, Enrique
4 Cabré, Xavier
4 Carles, Rémi
4 Chen, Jiajie
4 Combet, Vianney
4 Dodson, Benjamin G.
4 Dupaigne, Louis
4 Esfahani, Amin
4 Ferrero, Alberto
4 Friederich, Xavier
4 Gazzola, Filippo
4 Georgiev, Vladimir S.
4 Germain, Pierre
4 Ghoussoub, Nassif A.
4 Gravejat, Philippe
4 Komech, Alexander Ilich
4 Korpusov, Maksim Olegovich
4 Lai, Baishun
4 Lührmann, Jonas
4 Natali, Fábio M. Amorin
4 Nguyen, Van Tien
4 Peral Alonso, Ireneo
4 Pilod, Didier
4 Primo, Ana R. M.
4 Rossi, Julio Daniel
4 Ruiz Goldstein, Giséle
4 Su, Yiming
4 Takahashi, Futoshi
4 Tao, Terence
4 Tsai, Tai-Peng
4 Tzvetkov, Nikolay
4 Visan, Monica
...and 767 more Authors
all top 5

Cited in 175 Serials

60 Journal of Differential Equations
35 Communications in Mathematical Physics
34 Journal of Mathematical Analysis and Applications
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Journal of Functional Analysis
28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
27 Discrete and Continuous Dynamical Systems
26 Nonlinearity
25 Archive for Rational Mechanics and Analysis
20 Transactions of the American Mathematical Society
18 Proceedings of the American Mathematical Society
17 Communications in Partial Differential Equations
17 Calculus of Variations and Partial Differential Equations
15 Communications on Pure and Applied Analysis
14 Physica D
14 SIAM Journal on Mathematical Analysis
14 Séminaire Laurent Schwartz. EDP et Applications
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Applicable Analysis
10 Journal of Evolution Equations
10 Annals of PDE
9 Journal of Mathematical Physics
9 Communications in Contemporary Mathematics
8 Mathematical Methods in the Applied Sciences
8 Mathematische Annalen
8 Advanced Nonlinear Studies
8 Analysis & PDE
7 Communications on Pure and Applied Mathematics
7 Journal d’Analyse Mathématique
7 Duke Mathematical Journal
7 Revista Matemática Iberoamericana
7 Journal of the American Mathematical Society
7 Journal of Dynamics and Differential Equations
7 Journal of Nonlinear Science
6 Inventiones Mathematicae
6 Memoirs of the American Mathematical Society
6 NoDEA. Nonlinear Differential Equations and Applications
6 Discrete and Continuous Dynamical Systems. Series B
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Annales Henri Poincaré
5 Nonlinear Analysis. Real World Applications
5 Journal of Hyperbolic Differential Equations
5 Discrete and Continuous Dynamical Systems. Series S
5 Differential Equations and Applications
5 Advances in Nonlinear Analysis
4 Letters in Mathematical Physics
4 Advances in Mathematics
4 Applied Mathematics and Computation
4 Quarterly of Applied Mathematics
4 Journal of the European Mathematical Society (JEMS)
4 Science China. Mathematics
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 SN Partial Differential Equations and Applications
3 Annales de l’Institut Fourier
3 Chinese Annals of Mathematics. Series B
3 Applied Mathematics Letters
3 Asymptotic Analysis
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 The Journal of Geometric Analysis
3 Geometric and Functional Analysis. GAFA
3 Izvestiya: Mathematics
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Wave Motion
2 Acta Mathematica
2 American Journal of Mathematics
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Indiana University Mathematics Journal
2 Journal of Computational and Applied Mathematics
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Ricerche di Matematica
2 SIAM Journal on Numerical Analysis
2 Zeitschrift für Analysis und ihre Anwendungen
2 Computational Mathematics and Mathematical Physics
2 International Journal of Computer Mathematics
2 Potential Analysis
2 Vietnam Journal of Mathematics
2 Journal of Mathematical Fluid Mechanics
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of High Energy Physics
2 Stochastics and Dynamics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 São Paulo Journal of Mathematical Sciences
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Elliptic and Parabolic Equations
2 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
2 Electronic Research Archive
1 Journal of Computational Physics
1 Journal of Statistical Physics
...and 75 more Serials

Citations by Year

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