Edit Profile (opens in new tab) Tzvetkov, Nikolay Compute Distance To: Compute Author ID: tzvetkov.nikolay Published as: Tzvetkov, Nikolay; Tzvetkov, N.; Tzvetkov, Nickolay; Tzvekov, Nikolay Documents Indexed: 114 Publications since 1997 1 Contribution as Editor · 1 Further Contribution Co-Authors: 45 Co-Authors with 93 Joint Publications 845 Co-Co-Authors all top 5 Co-Authors 22 single-authored 21 Burq, Nicolas 16 Gerard, Patrick 13 Visciglia, Nicola 12 Saut, Jean-Claude 9 Rousset, Frédéric 7 Molinet, Luc 6 Oh, Tadahiro 4 Sun, Chenmin 4 Thomann, Laurent 3 Koch, Herbert 3 Pausader, Benoît 3 Planchon, Fabrice 2 Benzoni-Gavage, Sylvie 2 Bouclet, Jean-Marc 2 Burg, Nocolas 2 Coulombel, Jean-François 2 Hani, Zaher 2 Herr, Sebastian 2 Mizumachi, Tetsu 2 Petkov, Vesselin M. 2 Takaoka, Hideo 2 Tataru, Daniel 2 Tsutsumi, Yoshio 1 Ayache, Antoine 1 Bona, Jerry Lloyd 1 de Suzzoni, Anne-Sophie 1 Deng, Yu 1 Farah, Luiz Gustavo 1 Flandoli, Franco 1 Genovese, Giuseppe 1 Georgiev, Vladimir S. 1 Godet, Nicolas 1 Gubinelli, Massimiliano 1 Hairer, Martin 1 Isaza, Pedro 1 Linares, Felipe 1 Luca, Renato 1 Mejía, Jorge 1 Ming, Mei 1 Mizutani, Haruya 1 Ozawa, Tohru 1 Panthee, Mahendra 1 Raphael, Pierre 1 Robert, Tristan 1 Sosoe, Philippe 1 Souganidis, Panagiotis E. 1 Terracini, Susanna 1 Wang, Xuecheng 1 Wang, Yuzhao all top 5 Serials 7 IMRN. International Mathematics Research Notices 4 Communications in Mathematical Physics 4 Inventiones Mathematicae 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Mathematical Analysis 4 Séminaire Équations aux Dérivées Partielles 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Duke Mathematical Journal 3 Differential and Integral Equations 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Séminaire Laurent Schwartz. EDP et Applications 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Gazette des Mathématiciens 2 Journal of Differential Equations 2 Probability Theory and Related Fields 2 Mathematical Research Letters 2 Discrete and Continuous Dynamical Systems 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of the European Mathematical Society (JEMS) 2 Analysis & PDE 2 Forum of Mathematics, Sigma 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Advances in Mathematics 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Tsukuba Journal of Mathematics 1 Revista Matemática Iberoamericana 1 Mathematica Balkanica. New Series 1 Geometric and Functional Analysis. GAFA 1 Doklady Bolgarskoĭ Akademii Nauk 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 AMRX. Applied Mathematics Research eXpress 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Dynamics of Partial Differential Equations 1 Lecture Notes in Mathematics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 RIMS Kôkyûroku Bessatsu 1 Forum of Mathematics, Pi 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 112 Partial differential equations (35-XX) 31 Dynamical systems and ergodic theory (37-XX) 16 Fluid mechanics (76-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 5 Probability theory and stochastic processes (60-XX) 4 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 2,297 times in 1,010 Documents Cited by ▼ Year ▼ Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 161 2004 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062Burq, Nicolas; Tzvetkov, Nikolay 107 2008 Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085Molinet, L.; Saut, J. C.; Tzvetkov, N. 93 2001 On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106Koch, H.; Tzvetkov, N. 84 2003 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233Burq, Nicolas; Tzvetkov, Nikolay 74 2008 Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460Koch, Herbert; Tzvetkov, N. 65 2005 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 64 2007 Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 62 2011 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 61 2005 Sharp well-posedness results for the BBM equation. Zbl 1170.35303Bona, Jerry; Tzvetkov, Nikolay 54 2009 Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103Molinet, L.; Saut, J.-C.; Tzvetkov, N. 51 2002 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 50 2002 Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116Tzvetkov, Nikolay 48 2008 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 44 2005 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387Burq, Nicolas; Tzvetkov, Nikolay 43 2014 On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126Takaoka, H.; Tzvetkov, N. 42 2001 Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183Tzvetkov, N. 38 2010 Remark on the local ill-posedness for KdV equation. Zbl 0941.35097Tzvetkov, Nickolay 37 1999 Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 37 2013 Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154Thomann, Laurent; Tzvetkov, Nikolay 35 2010 Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola 35 2015 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 35 2004 Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090Tzvetkov, Nikolay 30 2006 Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374Rousset, F.; Tzvetkov, N. 30 2009 Global well-posedness for the KP-I equation. Zbl 1008.35060Molinet, L.; Saut, J. C.; Tzvetkov, N. 29 2002 Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075Tzvetkov, Nickolay 28 1998 Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063Rousset, Frederic; Tzvetkov, Nikolay 26 2008 Transverse instability of the line solitary water-waves. Zbl 1225.35024Rousset, Frederic; Tzvetkov, Nikolay 26 2011 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274Oh, Tadahiro; Tzvetkov, Nikolay 26 2017 Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay 26 2011 Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 25 2014 Strichartz estimates for long range perturbations. Zbl 1154.35077Bouclet, Jean-Marc; Tzvekov, Nikolay 24 2007 Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola 24 2015 Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141Tzvetkov, Nikolay; Visciglia, Nicola 24 2014 On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085Takaoka, H.; Tzvetkov, N. 23 2001 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 22 2003 The Cauchy problem for the fifth order KP equations. Zbl 0961.35137Saut, J. C.; Tzvetkov, N. 21 2000 Remarks on the mass constraint for KP-type equations. Zbl 1139.35009Molinet, L.; Saut, J. C.; Tzvetkov, N. 21 2007 Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051Tzvetkov, Nikolay; Visciglia, Nicola 21 2015 Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174Mizumachi, Tetsu; Tzvetkov, Nikolay 21 2012 Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004Tzvetkov, Nikolay; Visciglia, Nicola 21 2012 \(L^p\) properties for Gaussian random series. Zbl 1145.60019Ayache, Antoine; Tzvetkov, Nikolay 20 2008 On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005Bouclet, Jean-Marc; Tzvetkov, Nikolay 20 2008 The Cauchy problem for higher-order KP equations. Zbl 0927.35098Saut, J. C.; Tzvetkov, N. 20 1999 Global low-regularity solutions for Kadomtsev-Petviashvili equation. Zbl 0977.35125Tzvetkov, N. 19 2000 Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065Molinet, L.; Saut, J. C.; Tzvetkov, N. 18 2007 A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028Rousset, Frederic; Tzvetkov, Nikolay 18 2010 On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 17 2017 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076Burq, Nicolas; Tzvetkov, Nikolay 17 2007 Global well-posedness for the KP-BBM equations. Zbl 1063.35140Saut, J.-C.; Tzvetkov, N. 17 2004 Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay 17 2015 Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052Rousset, Frederic; Tzvetkov, Nikolay 16 2012 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 16 2018 An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. (Régularité optimale pour la quasi-invariance de mesures gaussiennes par le flot de l’équation de Schrödinger non linéaire d’ordre 4.) Zbl 1405.35198Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay 15 2018 On periodic KP-I type equations. Zbl 0984.35143Saut, J.-C.; Tzvetkov, N. 14 2001 Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243Tzvetkov, Nikolay 14 2015 Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 14 2015 Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space. Zbl 1365.35164Tzvetkov, Nikolay; Visciglia, Nicola 14 2016 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 13 2007 Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. (Mesures gaussiennes associées à une loi de conservation arbitraire de l’équation de Benjamin-Ono.) Zbl 1317.35208Tzvetkov, Nikolay; Visciglia, Nicola 13 2013 On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161Tzvetkov, Nickolay 13 1999 On finite energy solutions of the KP-I equation. Zbl 1387.35530Koch, H.; Tzvetkov, N. 11 2008 Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103Molinet, L.; Saut, J. C.; Tzvetkov, N. 11 2004 The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola 11 2014 Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081Tzvetkov, Nikolay 10 2006 Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion. (Mesures gaussiennes quasi invariantes pour l’équation de Schrödinger non linéaire cubique avec dispersion d’ordre trois.) Zbl 1421.35341Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay 10 2019 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 Global regularity for the energy-critical NLS on \(\mathbb S^3\). Zbl 1307.35285Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng 10 2014 A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation. Zbl 1081.35097Isaza J., Pedro; Mejía L., Jorge; Tzvetkov, Nikolay 8 2006 Long time bounds for the periodic KP-II equation. Zbl 1073.35195Tzvetkov, N. 8 2004 On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018Saut, Jean-Claude; Tzvetkov, Nikolay 8 2000 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 7 2004 On the propagation of weakly nonlinear random dispersive waves. Zbl 1293.35287de Suzzoni, Anne-Sophie; Tzvetkov, Nikolay 7 2014 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175Oh, Tadahiro; Tzvetkov, Nikolay 6 2020 Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161Godet, Nicolas; Tzvetkov, Nikolay 6 2012 Solving the 4NLS with white noise initial data. Zbl 1452.35193Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao 6 2020 On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola 4 2016 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 4 2004 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 4 2001 Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay 4 2011 New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504Sun, Chenmin; Tzvetkov, Nikolay 4 2020 Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 4 2020 On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay 4 2019 \(L^2\)-stability of solitary waves for the KdV equation via Pego and Weinstein’s method. Zbl 1316.35255Mizumachi, Tetsu; Tzvetkov, Nikolay 4 2014 Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007Tzvetkov, Nikolay 3 2010 Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481Sun, Chenmin; Tzvetkov, Nikolay 3 2020 On the long time behavior of KdV type equations [after Martel-Merle]. Zbl 1074.35079Tzvetkov, Nikolay 2 2005 Remark on the local regularity for Kadomtsev-Petviashvili-II equation. (Remarque sur la régularité locale de l’équation de Kadomtsev-Petviashvili-II.) Zbl 0920.35140Tzvetkov, Nickolay 2 1998 Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140Sun, Chenmin; Tzvetkov, Nikolay 2 2020 On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158Oh, Tadahiro; Tzvetkov, Nikolay 2 2016 Remark on the null-condition for the nonlinear wave equation. Zbl 0949.35090Tzvetkov, Nickolay 2 2000 Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay 2 2012 Low regularity solutions for a generalized Zakharov system. Zbl 0978.35056Tzvetkov, Nickolay 1 2000 An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225Burg, N.; Gérard, P.; Tzvetkov, N. 1 2003 On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333Rousset, Frédéric; Tzvetkov, Nikolay 1 2010 Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds. Zbl 1321.35184Mizutani, Haruya; Tzvetkov, Nikolay 1 2015 Low regularity solutions for semilinear Dirac equation with small data. Zbl 0927.35061Tzvetkov, N. 1 1997 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175Oh, Tadahiro; Tzvetkov, Nikolay 6 2020 Solving the 4NLS with white noise initial data. Zbl 1452.35193Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao 6 2020 New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504Sun, Chenmin; Tzvetkov, Nikolay 4 2020 Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 4 2020 Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481Sun, Chenmin; Tzvetkov, Nikolay 3 2020 Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140Sun, Chenmin; Tzvetkov, Nikolay 2 2020 Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion. (Mesures gaussiennes quasi invariantes pour l’équation de Schrödinger non linéaire cubique avec dispersion d’ordre trois.) Zbl 1421.35341Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay 10 2019 On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay 4 2019 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 16 2018 An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. (Régularité optimale pour la quasi-invariance de mesures gaussiennes par le flot de l’équation de Schrödinger non linéaire d’ordre 4.) Zbl 1405.35198Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay 15 2018 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274Oh, Tadahiro; Tzvetkov, Nikolay 26 2017 On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 17 2017 Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space. Zbl 1365.35164Tzvetkov, Nikolay; Visciglia, Nicola 14 2016 On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola 4 2016 On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158Oh, Tadahiro; Tzvetkov, Nikolay 2 2016 Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola 35 2015 Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola 24 2015 Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051Tzvetkov, Nikolay; Visciglia, Nicola 21 2015 Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay 17 2015 Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243Tzvetkov, Nikolay 14 2015 Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 14 2015 Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds. Zbl 1321.35184Mizutani, Haruya; Tzvetkov, Nikolay 1 2015 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387Burq, Nicolas; Tzvetkov, Nikolay 43 2014 Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 25 2014 Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141Tzvetkov, Nikolay; Visciglia, Nicola 24 2014 The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola 11 2014 Global regularity for the energy-critical NLS on \(\mathbb S^3\). Zbl 1307.35285Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng 10 2014 On the propagation of weakly nonlinear random dispersive waves. Zbl 1293.35287de Suzzoni, Anne-Sophie; Tzvetkov, Nikolay 7 2014 \(L^2\)-stability of solitary waves for the KdV equation via Pego and Weinstein’s method. Zbl 1316.35255Mizumachi, Tetsu; Tzvetkov, Nikolay 4 2014 Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 37 2013 Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. (Mesures gaussiennes associées à une loi de conservation arbitraire de l’équation de Benjamin-Ono.) Zbl 1317.35208Tzvetkov, Nikolay; Visciglia, Nicola 13 2013 Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174Mizumachi, Tetsu; Tzvetkov, Nikolay 21 2012 Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004Tzvetkov, Nikolay; Visciglia, Nicola 21 2012 Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052Rousset, Frederic; Tzvetkov, Nikolay 16 2012 Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161Godet, Nicolas; Tzvetkov, Nikolay 6 2012 Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay 2 2012 Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 62 2011 Transverse instability of the line solitary water-waves. Zbl 1225.35024Rousset, Frederic; Tzvetkov, Nikolay 26 2011 Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay 26 2011 Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay 4 2011 Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183Tzvetkov, N. 38 2010 Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154Thomann, Laurent; Tzvetkov, Nikolay 35 2010 A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028Rousset, Frederic; Tzvetkov, Nikolay 18 2010 Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007Tzvetkov, Nikolay 3 2010 On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333Rousset, Frédéric; Tzvetkov, Nikolay 1 2010 Sharp well-posedness results for the BBM equation. Zbl 1170.35303Bona, Jerry; Tzvetkov, Nikolay 54 2009 Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374Rousset, F.; Tzvetkov, N. 30 2009 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062Burq, Nicolas; Tzvetkov, Nikolay 107 2008 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233Burq, Nicolas; Tzvetkov, Nikolay 74 2008 Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116Tzvetkov, Nikolay 48 2008 Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063Rousset, Frederic; Tzvetkov, Nikolay 26 2008 \(L^p\) properties for Gaussian random series. Zbl 1145.60019Ayache, Antoine; Tzvetkov, Nikolay 20 2008 On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005Bouclet, Jean-Marc; Tzvetkov, Nikolay 20 2008 On finite energy solutions of the KP-I equation. Zbl 1387.35530Koch, H.; Tzvetkov, N. 11 2008 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 64 2007 Strichartz estimates for long range perturbations. Zbl 1154.35077Bouclet, Jean-Marc; Tzvekov, Nikolay 24 2007 Remarks on the mass constraint for KP-type equations. Zbl 1139.35009Molinet, L.; Saut, J. C.; Tzvetkov, N. 21 2007 Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065Molinet, L.; Saut, J. C.; Tzvetkov, N. 18 2007 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076Burq, Nicolas; Tzvetkov, Nikolay 17 2007 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 13 2007 Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090Tzvetkov, Nikolay 30 2006 Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081Tzvetkov, Nikolay 10 2006 A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation. Zbl 1081.35097Isaza J., Pedro; Mejía L., Jorge; Tzvetkov, Nikolay 8 2006 Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460Koch, Herbert; Tzvetkov, N. 65 2005 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 61 2005 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 44 2005 On the long time behavior of KdV type equations [after Martel-Merle]. Zbl 1074.35079Tzvetkov, Nikolay 2 2005 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 161 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 35 2004 Global well-posedness for the KP-BBM equations. Zbl 1063.35140Saut, J.-C.; Tzvetkov, N. 17 2004 Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103Molinet, L.; Saut, J. C.; Tzvetkov, N. 11 2004 Long time bounds for the periodic KP-II equation. Zbl 1073.35195Tzvetkov, N. 8 2004 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 7 2004 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 4 2004 On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106Koch, H.; Tzvetkov, N. 84 2003 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 22 2003 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225Burg, N.; Gérard, P.; Tzvetkov, N. 1 2003 Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103Molinet, L.; Saut, J.-C.; Tzvetkov, N. 51 2002 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 50 2002 Global well-posedness for the KP-I equation. Zbl 1008.35060Molinet, L.; Saut, J. C.; Tzvetkov, N. 29 2002 Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085Molinet, L.; Saut, J. C.; Tzvetkov, N. 93 2001 On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126Takaoka, H.; Tzvetkov, N. 42 2001 On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085Takaoka, H.; Tzvetkov, N. 23 2001 On periodic KP-I type equations. Zbl 0984.35143Saut, J.-C.; Tzvetkov, N. 14 2001 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 4 2001 The Cauchy problem for the fifth order KP equations. Zbl 0961.35137Saut, J. C.; Tzvetkov, N. 21 2000 Global low-regularity solutions for Kadomtsev-Petviashvili equation. Zbl 0977.35125Tzvetkov, N. 19 2000 On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018Saut, Jean-Claude; Tzvetkov, Nikolay 8 2000 Remark on the null-condition for the nonlinear wave equation. Zbl 0949.35090Tzvetkov, Nickolay 2 2000 Low regularity solutions for a generalized Zakharov system. Zbl 0978.35056Tzvetkov, Nickolay 1 2000 Remark on the local ill-posedness for KdV equation. Zbl 0941.35097Tzvetkov, Nickolay 37 1999 The Cauchy problem for higher-order KP equations. Zbl 0927.35098Saut, J. C.; Tzvetkov, N. 20 1999 On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161Tzvetkov, Nickolay 13 1999 Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075Tzvetkov, Nickolay 28 1998 Remark on the local regularity for Kadomtsev-Petviashvili-II equation. (Remarque sur la régularité locale de l’équation de Kadomtsev-Petviashvili-II.) Zbl 0920.35140Tzvetkov, Nickolay 2 1998 Low regularity solutions for semilinear Dirac equation with small data. Zbl 0927.35061Tzvetkov, N. 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 856 Authors 61 Tzvetkov, Nikolay 38 Oh, Tadahiro 24 Burq, Nicolas 18 Saut, Jean-Claude 16 Himonas, A. Alexandrou 16 Linares, Felipe 15 Visciglia, Nicola 14 Carles, Rémi 14 Gerard, Patrick 14 Molinet, Luc 14 Wang, Yuzhao 13 Guo, Zihua 13 Herr, Sebastian 13 Kenig, Carlos Eduardo 13 Pilod, Didier 13 Ponce, Gustavo 12 Panthee, Mahendra 12 Thomann, Laurent 12 Yan, Wei 11 Carvajal, Xavier Paredes 11 Klein, Christian 10 de Suzzoni, Anne-Sophie 10 Esfahani, Amin 10 Hani, Zaher 9 Bourgain, Jean 9 Galkowski, Jeffrey 9 Li, Junfeng 9 Muñoz, Claudio 9 Pocovnicu, Oana 9 Rousset, Frédéric 9 Staffilani, Gigliola 9 Tacy, Melissa 9 Wang, Chengbo 8 Kwak, Chulkwang 8 Ozawa, Tohru 8 Schippa, Robert 8 Sogge, Christopher D. 8 Sohinger, Vedran 8 Tao, Terence 8 Toth, John Andrew 7 Alazard, Thomas 7 Cavalcanti, Marcelo Moreira 7 Deng, Yu 7 Ionescu, Alexandru D. 7 Kwon, Soonsik 7 Liu, Yue 7 Palmieri, Alessandro 7 Pastor, Ademir 7 Pausader, Benoît 7 Robert, Tristan 6 Blair, Matthew D. 6 Bouclet, Jean-Marc 6 Chen, Wengu 6 Christianson, Hans 6 Germain, Pierre 6 Huang, Jianhua 6 Ibrahim, Slim 6 Mammeri, Youcef 6 Marzuola, Jeremy L. 6 Mejía, Jorge 6 Mizutani, Haruya 6 Nahmod, Andrea R. 6 Planchon, Fabrice 6 Raphael, Pierre 6 Tataru, Daniel 6 Yue, Haitian 6 Zhao, Zehua 5 Banquet Brango, Carlos 5 Bona, Jerry Lloyd 5 Brzeźniak, Zdzisław 5 Cacciafesta, Federico 5 Fonseca, Germán Eduardo 5 Fujiwara, Kazumasa 5 Haragus, Mariana 5 Hidano, Kunio 5 Kishimoto, Nobu 5 Koch, Herbert 5 Li, Yongsheng 5 Luca, Renato 5 Mantzavinos, Dionyssios 5 Martel, Yvan 5 Masmoudi, Nader 5 Maspero, Alberto 5 Okamoto, Mamoru 5 Phan Thành Nam 5 Pierfelice, Vittoria 5 Privat, Yannick 5 Procesi, Michela 5 Rougerie, Nicolas 5 Salort, Delphine 5 Sun, Chenmin 5 Wang, Ming 4 Aloui, Lassaad 4 Banica, Valeria 4 Bényi, Árpád 4 Benzoni-Gavage, Sylvie 4 Bulut, Aynur 4 Canzani, Yaiza 4 Corrêa, Wellington José 4 Côte, Raphaël ...and 756 more Authors all top 5 Cited in 172 Serials 69 Journal of Differential Equations 47 Communications in Partial Differential Equations 42 Journal of Mathematical Analysis and Applications 41 Journal of Functional Analysis 39 Communications in Mathematical Physics 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Discrete and Continuous Dynamical Systems 30 Communications on Pure and Applied Analysis 28 SIAM Journal on Mathematical Analysis 27 Transactions of the American Mathematical Society 25 Archive for Rational Mechanics and Analysis 23 Proceedings of the American Mathematical Society 20 Mathematische Annalen 19 Journal of Mathematical Physics 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Duke Mathematical Journal 13 Journal of the European Mathematical Society (JEMS) 13 Séminaire Laurent Schwartz. EDP et Applications 12 Nonlinearity 12 Advances in Mathematics 12 Inventiones Mathematicae 10 Journal of Evolution Equations 9 Journal of Dynamics and Differential Equations 9 Journal of Hyperbolic Differential Equations 8 Stochastic and Partial Differential Equations. Analysis and Computations 7 Communications on Pure and Applied Mathematics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Quarterly of Applied Mathematics 7 Physica D 7 Forum Mathematicum 7 The Journal of Geometric Analysis 7 Journal of Nonlinear Science 6 Annales de l’Institut Fourier 6 Revista Matemática Iberoamericana 6 Communications in Contemporary Mathematics 6 Nonlinear Analysis. Real World Applications 6 Discrete and Continuous Dynamical Systems. Series B 6 Analysis & PDE 5 Journal d’Analyse Mathématique 5 Mathematische Zeitschrift 5 Journal of the American Mathematical Society 5 Geometric and Functional Analysis. GAFA 5 Potential Analysis 5 NoDEA. Nonlinear Differential Equations and Applications 5 The Journal of Fourier Analysis and Applications 5 Annales Henri Poincaré 5 Science China. Mathematics 4 Applicable Analysis 4 SIAM Journal on Control and Optimization 4 Probability Theory and Related Fields 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Mathematical Fluid Mechanics 4 Boundary Value Problems 4 Journal of Spectral Theory 4 Forum of Mathematics, Pi 4 Evolution Equations and Control Theory 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 Memoirs of the American Mathematical Society 3 Studies in Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 Portugaliae Mathematica. Nova Série 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Mediterranean Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematical Control and Related Fields 3 Forum of Mathematics, Sigma 3 Journal de l’École Polytechnique – Mathématiques 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Stochastic Processes and their Applications 2 Calculus of Variations and Partial Differential Equations 2 Selecta Mathematica. New Series 2 Differential Equations and Dynamical Systems 2 Analysis (München) 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Dynamical and Control Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematical Modelling of Natural Phenomena 2 Kyoto Journal of Mathematics 2 Annals of PDE ...and 72 more Serials all top 5 Cited in 43 Fields 943 Partial differential equations (35-XX) 137 Fluid mechanics (76-XX) 133 Dynamical systems and ergodic theory (37-XX) 104 Global analysis, analysis on manifolds (58-XX) 63 Probability theory and stochastic processes (60-XX) 63 Quantum theory (81-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 36 Operator theory (47-XX) 30 Systems theory; control (93-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Numerical analysis (65-XX) 24 Functional analysis (46-XX) 14 Number theory (11-XX) 14 Differential geometry (53-XX) 13 Optics, electromagnetic theory (78-XX) 12 Measure and integration (28-XX) 11 Special functions (33-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Ordinary differential equations (34-XX) 8 Topological groups, Lie groups (22-XX) 7 Mechanics of deformable solids (74-XX) 6 Abstract harmonic analysis (43-XX) 6 Integral transforms, operational calculus (44-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Geophysics (86-XX) 4 Potential theory (31-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year