## Perelman, Galina

Compute Distance To:
 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 330 Co-Co-Authors
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

26 Publications have been cited 388 times in 289 Documents Cited by Year
On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108
Buslaev, V. S.; Perel’man, G. S.
1995
On the formation of singularities in solutions of the critical nonlinear Schrödinger equation. Zbl 1007.35087
Perelman, Galina
2001
Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations. Zbl 1067.35113
Perelman, Galina
2004
Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112
Buslaev, V. S.; Perel’man, G. S.
1992
Blow up dynamics for equivariant critical Schrödinger maps. Zbl 1300.35008
Perelman, Galina
2014
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
2010
On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111
Buslaev, V. S.; Perelman, Galina
1992
Scattering for the critical 2-D NLS with exponential growth. Zbl 1324.35167
Bahouri, Hajer; Ibrahim, Slim; Perelman, Galina
2014
Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146
Buslaev, V. S.; Perel’man, G. S.
1992
Two soliton collision for nonlinear Schrödinger equations in dimension 1. Zbl 1217.35176
Perelman, Galina
2011
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
2011
Stability of the absolutely continuous spectrum for multidimensional Schrödinger operators. Zbl 1091.35075
Perelman, Galina
2005
A Fourier approach to the profile decomposition in Orlicz spaces. Zbl 1311.46030
Bahouri, Hajer; Perelman, Galina
2014
Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076
Perelman, Galina; Vega, L.
2007
Some results on the scattering of weakly interacting solitons for nonlinear Schrödinger equations. Zbl 0931.35164
Perelman, Galina
1997
A remark on soliton-potential interactions for nonlinear Schrödinger equations. Zbl 1172.81012
Perelman, Galina
2009
Carleson’s imbedding theorem for a weighted Bergman space. Zbl 0746.46023
Olejnik, V. L.; Perel’man, G. S.
1990
On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D. Zbl 1055.35116
Perelman, Galina
2001
Evolution of adiabatically perturbed resonant states. Zbl 1075.81521
Perelman, Galina
2000
Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in $$\mathbb R^3$$. Zbl 1303.35103
Ortoleva, C.; Perelman, G.
2014
On the absolutely continuous spectrum of Stark operators. Zbl 1053.34077
Perelman, Galina
2003
A solution to the focusing 3d NLS that blows up on a contracting sphere. Zbl 1325.35201
Holmer, Justin; Perelman, Galina; Roudenko, Svetlana
2015
Stark-Wannier type operator with purely singular spectrum. Zbl 1093.34048
Perelman, Galina
2005
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 1428.35233
Bahouri, Hajer; Marachli, Alaa; Perelman, Galina
2019
Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197
Buslaev, V. S.; Perel’man, G. S.
1992
Global well-posedness for the derivative nonlinear Schrödinger equation. Zbl 1496.35350
Bahouri, Hajer; Perelman, Galina
2022
Global well-posedness for the derivative nonlinear Schrödinger equation. Zbl 1496.35350
Bahouri, Hajer; Perelman, Galina
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 1428.35233
Bahouri, Hajer; Marachli, Alaa; Perelman, Galina
2019
A solution to the focusing 3d NLS that blows up on a contracting sphere. Zbl 1325.35201
Holmer, Justin; Perelman, Galina; Roudenko, Svetlana
2015
Blow up dynamics for equivariant critical Schrödinger maps. Zbl 1300.35008
Perelman, Galina
2014
Scattering for the critical 2-D NLS with exponential growth. Zbl 1324.35167
Bahouri, Hajer; Ibrahim, Slim; Perelman, Galina
2014
A Fourier approach to the profile decomposition in Orlicz spaces. Zbl 1311.46030
Bahouri, Hajer; Perelman, Galina
2014
Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in $$\mathbb R^3$$. Zbl 1303.35103
Ortoleva, C.; Perelman, G.
2014
Two soliton collision for nonlinear Schrödinger equations in dimension 1. Zbl 1217.35176
Perelman, Galina
2011
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
2011
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
2010
A remark on soliton-potential interactions for nonlinear Schrödinger equations. Zbl 1172.81012
Perelman, Galina
2009
Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076
Perelman, Galina; Vega, L.
2007
Stability of the absolutely continuous spectrum for multidimensional Schrödinger operators. Zbl 1091.35075
Perelman, Galina
2005
Stark-Wannier type operator with purely singular spectrum. Zbl 1093.34048
Perelman, Galina
2005
Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations. Zbl 1067.35113
Perelman, Galina
2004
On the absolutely continuous spectrum of Stark operators. Zbl 1053.34077
Perelman, Galina
2003
On the formation of singularities in solutions of the critical nonlinear Schrödinger equation. Zbl 1007.35087
Perelman, Galina
2001
On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D. Zbl 1055.35116
Perelman, Galina
2001
Evolution of adiabatically perturbed resonant states. Zbl 1075.81521
Perelman, Galina
2000
Some results on the scattering of weakly interacting solitons for nonlinear Schrödinger equations. Zbl 0931.35164
Perelman, Galina
1997
On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108
Buslaev, V. S.; Perel&rsquo;man, G. S.
1995
Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112
Buslaev, V. S.; Perel&rsquo;man, G. S.
1992
On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111
Buslaev, V. S.; Perelman, Galina
1992
Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146
Buslaev, V. S.; Perel&rsquo;man, G. S.
1992
Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197
Buslaev, V. S.; Perel&rsquo;man, G. S.
1992
Carleson’s imbedding theorem for a weighted Bergman space. Zbl 0746.46023
Olejnik, V. L.; Perel&rsquo;man, G. S.
1990
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### Cited by 276 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 Roudenko, Svetlana 6 Schlag, Wilhelm 6 Soffer, Avraham 5 Bambusi, Dario 5 Denisov, Sergey A. 5 Li, Ze 5 Maspero, Alberto 5 Pelinovsky, Dmitry Efimovich 5 Perelman, Galina 5 Zhong, Penghong 4 Holmer, Justin 4 Imaikin, Valery 4 Rodnianski, Igor 4 Saanouni, Tarek 4 Safronov, Oleg 4 Spohn, Herbert 4 Tsai, Tai-Peng 4 Yang, Kai 3 Adami, Riccardo 3 Alejo, Miguel A. 3 Boussaid, Nabile 3 Carles, Rémi 3 Deng, Qingquan 3 Fröhlich, Jürg Martin 3 Gang, Zhou 3 Jendrej, Jacek 3 Kuksin, Sergeĭ B. 3 Le Coz, Stefan 3 Majdoub, Mohamed 3 Marzuola, Jeremy Louis 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 Yao, Xiaohua 3 Zhao, Lifeng 2 Bahri, Yakine 2 Beceanu, Marius 2 Bensouilah, Abdelwahab 2 Berti, Massimiliano 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 Hu, Zhangjian 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 Arora, Anudeep Kumar 1 Azzam, A. Adam 1 Babich, Vasiliĭ Mikhaĭlovich 1 Banica, Valeria ...and 176 more Authors
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### Cited in 100 Serials

 25 Communications in Mathematical Physics 15 Discrete and Continuous Dynamical Systems 14 Journal of Functional Analysis 11 Journal of Mathematical Physics 10 Journal of Differential Equations 9 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 Memoirs of the American Mathematical Society 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 Journal d’Analyse Mathématique 2 Mathematics and Computers in Simulation 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 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 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 1 Mathematics in Applied Sciences and Engineering 1 Probability and Mathematical Physics
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### Cited in 32 Fields

 263 Partial differential equations (35-XX) 79 Dynamical systems and ergodic theory (37-XX) 44 Quantum theory (81-XX) 20 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Fluid mechanics (76-XX) 6 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-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)