Edit Profile (opens in new tab) Côte, Raphaël Co-Author Distance Author ID: cote.raphael Published as: Côte, Raphaël; Côte, R.; Cote, Raphael more...less Homepage: http://www.cmls.polytechnique.fr/perso/cote/ External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 42 Publications since 2005, including 7 Additional arXiv Preprints Co-Authors: 30 Co-Authors with 32 Joint Publications 662 Co-Co-Authors all top 5 Co-Authors 9 single-authored 5 Kenig, Carlos Eduardo 5 Martel, Yvan 4 Correia, Simão 4 Schlag, Wilhelm 3 Lawrie, Andrew G. W. 3 Vega, Luis 3 Yuan, Xu 2 Courtès, Clémentine 2 Ferriere, Guillaume 2 Friederich, Xavier 2 Ignat, Radu 2 Laurent, Camille 2 Merle, Frank 2 Muñoz, Claudio 1 Boileau, Matthieu 1 Côte, Delphine 1 Franck, Emmanuel 1 Hervieux, Paul-Antoine 1 Le Coz, Stefan 1 Manfredi, Giovanni 1 Miot, Evelyne 1 Navoret, Laurent 1 Pilod, Didier 1 Privat, Yannick 1 Simpson, Gideon 1 Steimer, Guillaume 1 Valet, Frédéric 1 Vigon, Vincent 1 Zaag, Hatem 1 Zhao, Lifeng all top 5 Serials 5 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 American Journal of Mathematics 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 IMRN. International Mathematics Research Notices 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Séminaire Équations aux Dérivées Partielles 1 Vietnam Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Journal of Fixed Point Theory and Applications 1 Forum of Mathematics, Sigma 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 35 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 2 Operator theory (47-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 448 times in 241 Documents Cited by ▼ Year ▼ 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 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 41 2015 Construction of a multisoliton blowup solution to the semilinear wave equation in one space dimension. Zbl 1295.35124 Côte, Raphaël; Zaag, Hatem 39 2013 Multi-solitons for nonlinear Klein-Gordon equations. Zbl 1301.35126 Côte, Raphaël; Muñoz, Claudio 36 2014 Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons. Zbl 1334.35276 Côte, Raphaël; Muñoz, Claudio; Pilod, Didier; Simpson, Gideon 31 2016 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 30 2015 High-speed excited multi-solitons in nonlinear Schrödinger equations. Zbl 1225.35215 Côte, Raphaël; Le Coz, Stefan 27 2011 On the soliton resolution for equivariant wave maps to the sphere. Zbl 1343.35155 Côte, R. 23 2015 Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system. Zbl 1170.35064 Côte, Raphaël; Kenig, Carlos E.; Merle, Frank 21 2008 Energy partition for the linear radial wave equation. Zbl 1311.35022 Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 21 2014 Multi-travelling waves for the nonlinear Klein-Gordon equation. Zbl 1403.35260 Côte, Raphaël; Martel, Yvan 18 2018 Construction of solutions to the \(L^2\)-critical KdV equation with a given asymptotic behaviour. Zbl 1130.35112 Côte, Raphaël 17 2007 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 15 2018 Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior. Zbl 1157.35091 Côte, Raphaël 12 2006 Instability of nonconstant harmonic maps for the \((1+2)\)-dimensional equivariant wave map system. Zbl 1101.35055 Côte, Raphaël 11 2005 On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations. Zbl 1491.35117 Côte, Raphaël; Friederich, Xavier 8 2021 A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls. Zbl 1316.35152 Côte, Raphaël; Ignat, Radu; Miot, Evelyne 7 2014 Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation. Zbl 1464.35028 Côte, Raphaël; Martel, Yvan; Yuan, Xu 7 2021 Large data wave operator for the generalized Korteweg-de Vries equations. Zbl 1212.35408 Cote, Raphael 6 2006 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 Corrigendum to: “On the soliton resolution for equivariant wave maps to the sphere”. Zbl 1467.35217 Côte, Raphaël 3 2016 Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation. Zbl 1437.35609 Correia, Simão; Côte, Raphaël; Vega, Luis 3 2020 Scaling-sharp dispersive estimates for the Korteweg-de Vries group. Zbl 1158.35415 Côte, Raphaël; Vega, Luis 2 2008 Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation. Zbl 1467.35280 Côte, Raphaël; Valet, Frédéric 1 2021 On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations. Zbl 1491.35117 Côte, Raphaël; Friederich, Xavier 8 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 Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation. Zbl 1467.35280 Côte, Raphaël; Valet, Frédéric 1 2021 Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation. Zbl 1437.35609 Correia, Simão; Côte, Raphaël; Vega, Luis 3 2020 Multi-travelling waves for the nonlinear Klein-Gordon equation. Zbl 1403.35260 Côte, Raphaël; Martel, Yvan 18 2018 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 15 2018 Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons. Zbl 1334.35276 Côte, Raphaël; Muñoz, Claudio; Pilod, Didier; Simpson, Gideon 31 2016 Corrigendum to: “On the soliton resolution for equivariant wave maps to the sphere”. Zbl 1467.35217 Côte, Raphaël 3 2016 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 41 2015 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131 Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 30 2015 On the soliton resolution for equivariant wave maps to the sphere. Zbl 1343.35155 Côte, R. 23 2015 Multi-solitons for nonlinear Klein-Gordon equations. Zbl 1301.35126 Côte, Raphaël; Muñoz, Claudio 36 2014 Energy partition for the linear radial wave equation. Zbl 1311.35022 Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 21 2014 A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls. Zbl 1316.35152 Côte, Raphaël; Ignat, Radu; Miot, Evelyne 7 2014 Construction of a multisoliton blowup solution to the semilinear wave equation in one space dimension. Zbl 1295.35124 Côte, Raphaël; Zaag, Hatem 39 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 High-speed excited multi-solitons in nonlinear Schrödinger equations. Zbl 1225.35215 Côte, Raphaël; Le Coz, Stefan 27 2011 Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system. Zbl 1170.35064 Côte, Raphaël; Kenig, Carlos E.; Merle, Frank 21 2008 Scaling-sharp dispersive estimates for the Korteweg-de Vries group. Zbl 1158.35415 Côte, Raphaël; Vega, Luis 2 2008 Construction of solutions to the \(L^2\)-critical KdV equation with a given asymptotic behaviour. Zbl 1130.35112 Côte, Raphaël 17 2007 Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior. Zbl 1157.35091 Côte, Raphaël 12 2006 Large data wave operator for the generalized Korteweg-de Vries equations. Zbl 1212.35408 Cote, Raphael 6 2006 Instability of nonconstant harmonic maps for the \((1+2)\)-dimensional equivariant wave map system. Zbl 1101.35055 Côte, Raphaël 11 2005 all cited Publications top 5 cited Publications all top 5 Cited by 190 Authors 22 Côte, Raphaël 22 Zaag, Hatem 20 Martel, Yvan 17 Kenig, Carlos Eduardo 17 Merle, Frank 14 Lawrie, Andrew G. W. 11 Jendrej, Jacek 11 Raphael, Pierre 10 Muñoz, Claudio 8 Donninger, Roland 8 Duyckaerts, Thomas 7 Yuan, Xu 6 Ghoul, Tej-Eddine 6 Glogić, Irfan 6 Krieger, Joachim 6 Nguyen, Van Tien 6 Roudenko, Svetlana 5 Azaiez, Asma 5 Farah, Luiz Gustavo 5 Ignat, Radu 5 Nouaili, Nejla 5 Schlag, Wilhelm 5 Wang, Zhong 4 Chen, Gong 4 Duong, Giao Ky 4 Friederich, Xavier 4 Kowalczyk, Michał 4 Le Coz, Stefan 4 Pilod, Didier 4 Rodriguez, Casey 4 Shahshahani, Sohrab 3 Bai, Mengxue 3 Collot, Charles 3 Cuccagna, Scipio 3 Hamza, Mohamed Ali 3 Holmer, Justin 3 Klein, Christian 3 Lan, Yang 3 Moser, Roger 3 Oh, Sung-Jin 3 Pillai, Mohandas 3 Stoilov, Nikola M. 3 Su, Yiming 3 Zhang, Deng 3 Zhang, Jian 3 Zhao, Lifeng 2 Bahouri, Hajer 2 Combet, Vianney 2 Costin, Ovidiu 2 Cui, Shangbin 2 Deng, Qingquan 2 Dodson, Benjamin G. 2 Eychenne, Arnaud 2 Ferriere, Guillaume 2 Ibrahim, Slim 2 Kurzke, Matthias W. 2 Li, Ze 2 Linares, Felipe 2 Liu, Baoping 2 Maeda, Masaya 2 Mashkin, Timur 2 Mendez, Argenis J. 2 Nguyen, Tien Vinh 2 Poblete, Felipe 2 Ponce, Gustavo 2 Pozo, Juan Carlos 2 Röckner, Michael 2 Rodnianski, Igor 2 Rousset, Frédéric 2 Schörkhuber, Birgit 2 Tao, Terence 2 Tataru, Daniel 2 Valet, Frédéric 2 Yamazaki, Yohei 2 Yang, Kai 2 Yao, Xiaohua 1 Alexakis, Spyros 1 Aryan, Shrey 1 Audiard, Corentin 1 Bellazzini, Jacopo 1 Benjemaa, Mondher 1 Cao, Daomin 1 Carles, Rémi 1 Cavalcante, Márcio André Araújo 1 Chatzikaleas, Athanasios 1 Chen, Mingjuan 1 Coclite, Giuseppe Maria 1 Correia, Simão 1 Davoli, Elisa 1 Delort, Jean-Marc 1 Dewez, Florent 1 Di Fratta, Giovanni 1 Di Ruvo, Lorenzo 1 Döring, Lukas 1 Fan, Chenjie 1 Gao, Can 1 Georgiev, Vladimir S. 1 Germain, Pierre 1 Ghimenti, Marco G. 1 Grinis, Roland ...and 90 more Authors all top 5 Cited in 75 Serials 19 Communications in Mathematical Physics 13 Journal of Differential Equations 12 Transactions of the American Mathematical Society 10 Discrete and Continuous Dynamical Systems 9 Séminaire Laurent Schwartz. EDP et Applications 8 Advances in Mathematics 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Journal of Mathematical Analysis and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Analysis & PDE 6 Archive for Rational Mechanics and Analysis 6 Communications on Pure and Applied Mathematics 6 Nonlinearity 6 Journal of Functional Analysis 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Annals of PDE 4 Journal of Mathematical Physics 4 Mathematische Annalen 4 Journal of the European Mathematical Society (JEMS) 4 Communications on Pure and Applied Analysis 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Memoirs of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 Annales Henri Poincaré 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Mathematische Zeitschrift 2 Physica D 2 Journal of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Bulletin des Sciences Mathématiques 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Journal of Hyperbolic Differential Equations 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Revista de la Unión Matemática Argentina 1 Studies in Applied Mathematics 1 Probability Theory and Related Fields 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Turkish Journal of Mathematics 1 Vietnam Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation 1 Forum of Mathematics, Sigma 1 Advances in Nonlinear Analysis 1 EMS Surveys in Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Tunisian Journal of Mathematics all top 5 Cited in 24 Fields 238 Partial differential equations (35-XX) 47 Dynamical systems and ergodic theory (37-XX) 14 Fluid mechanics (76-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Numerical analysis (65-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.