Edit Profile (opens in new tab) Perelman, Galina Compute Distance To: Compute Author ID: perelman.galina Published as: Perelman, Galina; Perel’man, G. S.; Perelman, G. more...less Homepage: http://umr-math.univ-mlv.fr/membres/perelman.galina External Links: Math-Net.Ru Documents Indexed: 32 Publications since 1990 Co-Authors: 11 Co-Authors with 17 Joint Publications 324 Co-Co-Authors all top 5 Co-Authors 15 single-authored 5 Bahouri, Hajer 5 Buslaev, Vladimir Savel’evich 2 Holmer, Justin 2 Kuksin, Sergeĭ B. 2 Marachli, Alaa 1 Ibrahim, Slim 1 Olejnik, V. L. 1 Ortoleva, Cecilia 1 Roudenko, Svetlana 1 Vega, Luis 1 Zworski, Maciej all top 5 Serials 4 Séminaire Équations aux Dérivées Partielles 3 Communications in Mathematical Physics 2 Asymptotic Analysis 2 St. Petersburg Mathematical Journal 2 Mathematical Research Letters 1 Mathematical Notes 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 25 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 374 times in 282 Documents Cited by ▼ Year ▼ On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108Buslaev, V. S.; Perel’man, G. S. 76 1995 On the formation of singularities in solutions of the critical nonlinear Schrödinger equation. Zbl 1007.35087Perelman, Galina 53 2001 Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations. Zbl 1067.35113Perelman, Galina 46 2004 Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112Buslaev, V. S.; Perel’man, G. S. 30 1992 Blow up dynamics for equivariant critical Schrödinger maps. Zbl 1300.35008Perelman, Galina 24 2014 Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076Kuksin, Sergei; Perelman, Galina 20 2010 On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111Buslaev, V. S.; Perelman, Galina 16 1992 Scattering for the critical 2-D NLS with exponential growth. Zbl 1324.35167Bahouri, Hajer; Ibrahim, Slim; Perelman, Galina 13 2014 Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146Buslaev, V. S.; Perel’man, G. S. 11 1992 Two soliton collision for nonlinear Schrödinger equations in dimension 1. Zbl 1217.35176Perelman, Galina 11 2011 Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046Holmer, Justin; Perelman, Galina; Zworski, Maciej 11 2011 A Fourier approach to the profile decomposition in Orlicz spaces. Zbl 1311.46030Bahouri, Hajer; Perelman, Galina 10 2014 Some results on the scattering of weakly interacting solitons for nonlinear Schrödinger equations. Zbl 0931.35164Perelman, Galina 9 1997 Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076Perelman, Galina; Vega, L. 9 2007 Stability of the absolutely continuous spectrum for multidimensional Schrödinger operators. Zbl 1091.35075Perelman, Galina 9 2005 A remark on soliton-potential interactions for nonlinear Schrödinger equations. Zbl 1172.81012Perelman, Galina 6 2009 On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D. Zbl 1055.35116Perelman, Galina 4 2001 Carleson’s imbedding theorem for a weighted Bergman space. Zbl 0746.46023Olejnik, V. L.; Perel’man, G. S. 3 1990 Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in \(\mathbb R^3\). Zbl 1303.35103Ortoleva, C.; Perelman, G. 3 2014 Evolution of adiabatically perturbed resonant states. Zbl 1075.81521Perelman, Galina 2 2000 On the absolutely continuous spectrum of Stark operators. Zbl 1053.34077Perelman, Galina 2 2003 A solution to the focusing 3d NLS that blows up on a contracting sphere. Zbl 1325.35201Holmer, Justin; Perelman, Galina; Roudenko, Svetlana 2 2015 Global well-posedness for the derivative nonlinear Schrödinger equation. Zbl 07554478Bahouri, Hajer; Perelman, Galina 1 2022 Stark-Wannier type operator with purely singular spectrum. Zbl 1093.34048Perelman, Galina 1 2005 Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197Buslaev, V. S.; Perel’man, G. S. 1 1992 Blow-up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to a Simons cone. (Sur la formation de singularités pour le flot hyperbolique de courbure moyenne nulle de surfaces asymptotiques au cône de Simons.) Zbl 1428.35233Bahouri, Hajer; Marachli, Alaa; Perelman, Galina 1 2019 Global well-posedness for the derivative nonlinear Schrödinger equation. Zbl 07554478Bahouri, Hajer; Perelman, Galina 1 2022 Blow-up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to a Simons cone. (Sur la formation de singularités pour le flot hyperbolique de courbure moyenne nulle de surfaces asymptotiques au cône de Simons.) Zbl 1428.35233Bahouri, Hajer; Marachli, Alaa; Perelman, Galina 1 2019 A solution to the focusing 3d NLS that blows up on a contracting sphere. Zbl 1325.35201Holmer, Justin; Perelman, Galina; Roudenko, Svetlana 2 2015 Blow up dynamics for equivariant critical Schrödinger maps. Zbl 1300.35008Perelman, Galina 24 2014 Scattering for the critical 2-D NLS with exponential growth. Zbl 1324.35167Bahouri, Hajer; Ibrahim, Slim; Perelman, Galina 13 2014 A Fourier approach to the profile decomposition in Orlicz spaces. Zbl 1311.46030Bahouri, Hajer; Perelman, Galina 10 2014 Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in \(\mathbb R^3\). Zbl 1303.35103Ortoleva, C.; Perelman, G. 3 2014 Two soliton collision for nonlinear Schrödinger equations in dimension 1. Zbl 1217.35176Perelman, Galina 11 2011 Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046Holmer, Justin; Perelman, Galina; Zworski, Maciej 11 2011 Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076Kuksin, Sergei; Perelman, Galina 20 2010 A remark on soliton-potential interactions for nonlinear Schrödinger equations. Zbl 1172.81012Perelman, Galina 6 2009 Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076Perelman, Galina; Vega, L. 9 2007 Stability of the absolutely continuous spectrum for multidimensional Schrödinger operators. Zbl 1091.35075Perelman, Galina 9 2005 Stark-Wannier type operator with purely singular spectrum. Zbl 1093.34048Perelman, Galina 1 2005 Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations. Zbl 1067.35113Perelman, Galina 46 2004 On the absolutely continuous spectrum of Stark operators. Zbl 1053.34077Perelman, Galina 2 2003 On the formation of singularities in solutions of the critical nonlinear Schrödinger equation. Zbl 1007.35087Perelman, Galina 53 2001 On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D. Zbl 1055.35116Perelman, Galina 4 2001 Evolution of adiabatically perturbed resonant states. Zbl 1075.81521Perelman, Galina 2 2000 Some results on the scattering of weakly interacting solitons for nonlinear Schrödinger equations. Zbl 0931.35164Perelman, Galina 9 1997 On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108Buslaev, V. S.; Perel’man, G. S. 76 1995 Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112Buslaev, V. S.; Perel’man, G. S. 30 1992 On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111Buslaev, V. S.; Perelman, Galina 16 1992 Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146Buslaev, V. S.; Perel’man, G. S. 11 1992 Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197Buslaev, V. S.; Perel’man, G. S. 1 1992 Carleson’s imbedding theorem for a weighted Bergman space. Zbl 0746.46023Olejnik, V. L.; Perel’man, G. S. 3 1990 all cited Publications top 5 cited Publications all top 5 Cited by 261 Authors 22 Cuccagna, Scipio 19 Komech, Alexander Ilich 17 Merle, Frank 17 Raphael, Pierre 16 Kopylova, Elena A. 13 Martel, Yvan 8 Bahouri, Hajer 8 Maeda, Masaya 7 Krieger, Joachim 7 Muñoz, Claudio 7 Sigal, Israel Michael 6 Comech, Andrew 6 Kappeler, Thomas 6 Schlag, Wilhelm 6 Soffer, Avraham 5 Bambusi, Dario 5 Li, Ze 5 Pelinovsky, Dmitry Efimovich 5 Perelman, Galina 5 Roudenko, Svetlana 5 Zhong, Penghong 4 Denisov, Sergey A. 4 Holmer, Justin 4 Maspero, Alberto 4 Rodnianski, Igor 4 Saanouni, Tarek 4 Safronov, Oleg 4 Spohn, Herbert 4 Tsai, Tai-Peng 3 Adami, Riccardo 3 Alejo, Miguel A. 3 Boussaid, Nabile 3 Carles, Rémi 3 Deng, Qingquan 3 Fröhlich, Jürg Martin 3 Gang, Zhou 3 Imaikin, Valery 3 Jendrej, Jacek 3 Kuksin, Sergeĭ B. 3 Le Coz, Stefan 3 Majdoub, Mohamed 3 Marzuola, Jeremy L. 3 Montalto, Riccardo 3 Noja, Diego 3 Phan, Tuoc Van 3 Procesi, Michela 3 Schaad, Beat 3 Stolovitch, Laurent 3 Szeftel, Jérémie 3 Topalov, Peter J. 3 Yang, Ganshan 3 Yang, Kai 3 Yao, Xiaohua 3 Zhao, Lifeng 2 Bahri, Yakine 2 Beceanu, Marius 2 Bensouilah, Abdelwahab 2 Buslaev, Vladimir Savel’evich 2 Côte, Raphaël 2 Dejak, Steven I. 2 Donninger, Roland 2 Duyckaerts, Thomas 2 Egli, Daniel 2 Fibich, Gadi 2 Germain, Pierre 2 Grünrock, Axel 2 Gustafson, Stephen J. 2 Huang, Jiaxi 2 Kirr, Eduard 2 Kowalczyk, Michał 2 Lenzmann, Enno 2 Li, Dong 2 Liu, Chang 2 Marachli, Alaa 2 Mashkin, Timur 2 Mizumachi, Tetsu 2 Nakanishi, Kenji 2 Oh, Tadahiro 2 Ortoleva, Cecilia 2 Pusateri, Fabio 2 Schweyer, Rémi 2 Simpson, Gideon 2 Stefanov, Atanas G. 2 Tarulli, Mirko 2 Vaĭnberg, Boris Rufimovich 2 Vega, Luis 2 Wang, Youde 2 Wu, Fengong 2 Zarnescu, Arghir Dani 2 Zhang, Jingxuan 2 Zhao, Yanxiang 2 Zworski, Maciej 1 Abou-Salem, Walid K. 1 An, Xinliang 1 Azzam, A. Adam 1 Babich, Vasiliĭ Mikhaĭlovich 1 Banica, Valeria 1 Basharat, Nyla 1 Bellazzini, Jacopo 1 Ben Ayed, Ines ...and 161 more Authors all top 5 Cited in 97 Serials 25 Communications in Mathematical Physics 15 Discrete and Continuous Dynamical Systems 13 Journal of Functional Analysis 11 Journal of Mathematical Physics 10 Journal of Differential Equations 8 Inventiones Mathematicae 8 Transactions of the American Mathematical Society 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Communications in Partial Differential Equations 7 Journal of Mathematical Analysis and Applications 7 Nonlinearity 6 Archive for Rational Mechanics and Analysis 6 Physica D 6 Séminaire Laurent Schwartz. EDP et Applications 5 Letters in Mathematical Physics 5 Mathematische Annalen 5 St. Petersburg Mathematical Journal 5 Journal of Hyperbolic Differential Equations 4 Duke Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Analysis 3 Communications on Pure and Applied Mathematics 3 Russian Mathematical Surveys 3 Reviews in Mathematical Physics 3 Proceedings of the American Mathematical Society 3 Russian Journal of Mathematical Physics 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 2 Mathematics and Computers in Simulation 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Annals of Mathematics. Second Series 2 Journal of Dynamical and Control Systems 2 Journal of Evolution Equations 2 Annals of PDE 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Mathematical Notes 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Asymptotic Analysis 1 Computational Mathematics and Mathematical Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 European Mathematical Society Newsletter 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Dynamical Systems 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Oberwolfach Reports 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Pi 1 Communications in Mathematics and Statistics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal de l’École Polytechnique – Mathématiques 1 Transactions of A. Razmadze Mathematical Institute 1 Advances in Operator Theory all top 5 Cited in 32 Fields 259 Partial differential equations (35-XX) 77 Dynamical systems and ergodic theory (37-XX) 43 Quantum theory (81-XX) 16 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 5 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Citations by Year