Edit Profile (opens in new tab) Martel, Yvan Co-Author Distance Author ID: 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 Co-Authors 15 single-authored 36 Merle, Frank 12 Raphael, Pierre 6 Cazenave, Thierry 6 Kowalczyk, Michał 5 Côte, Raphaël 5 Muñoz, Claudio 4 Kenig, Carlos Eduardo 4 Zhao, Lifeng 3 Pilod, Didier 3 Tsai, Tai-Peng 2 Brézis, Haïm 2 Cabré, Xavier 2 Combet, Vianney 2 Laurent, Celine 2 Naumkin, Ivan P. 2 Ramiandrisoa, Arthur 2 Souplet, Philippe 2 Yuan, Xu 1 Bahri, Yakine 1 de Bouard, Anne 1 Duyckaerts, Thomas 1 El Dika, Khaled 1 Han, Zheng 1 Jendrej, Jacek 1 Krieger, Joachim 1 Le Coz, Stefan 1 Mizumachi, Tetsu 1 Nakanishi, Kenji 1 Nguyen, Tien Vinh 1 Robbiano, Luc 1 Szeftel, Jérémie 1 Van Den Bosch, Hanne 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 all top 5 Fields 87 Partial differential equations (35-XX) 30 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 35 Fields 832 Partial differential equations (35-XX) 138 Dynamical systems and ergodic theory (37-XX) 62 Fluid mechanics (76-XX) 44 Real functions (26-XX) 33 Quantum theory (81-XX) 30 Functional analysis (46-XX) 29 Operator theory (47-XX) 29 Numerical analysis (65-XX) 23 Ordinary differential equations (34-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Systems theory; control (93-XX) 10 Differential geometry (53-XX) 10 Mechanics of deformable solids (74-XX) 9 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Optics, electromagnetic theory (78-XX) 6 Relativity and gravitational theory (83-XX) 5 Biology and other natural sciences (92-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Measure and integration (28-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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