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 more...less Documents Indexed: 119 Publications since 1997 1 Contribution as Editor · 1 Further Contribution Co-Authors: 49 Co-Authors with 97 Joint Publications 972 Co-Co-Authors all top 5 Co-Authors 23 single-authored 22 Burq, Nicolas 16 Gerard, Patrick 14 Visciglia, Nicola 12 Saut, Jean-Claude 9 Rousset, Frédéric 8 Oh, Tadahiro 7 Molinet, Luc 5 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 Georgiev, Vladimir S. 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 Godet, Nicolas 1 Gubinelli, Massimiliano 1 Gunaratnam, Trishen S. 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 Pocovnicu, Oana 1 Raphael, Pierre 1 Robert, Tristan 1 Sosoe, Philippe 1 Souganidis, Panagiotis E. 1 Terracini, Susanna 1 Wang, Xuecheng 1 Wang, Yuzhao 1 Weber, Hendrik 1 Xu, Weijun 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 4 Séminaire Laurent Schwartz. EDP et Applications 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Differential and Integral Equations 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 American Journal of Mathematics 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 Annales Henri Poincaré 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 1 Probability and Mathematical Physics all top 5 Fields 117 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 Probability theory and stochastic processes (60-XX) 7 Quantum theory (81-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 102 Publications have been cited 2,589 times in 1,132 Documents Cited by ▼ Year ▼ Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 184 2004 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062Burq, Nicolas; Tzvetkov, Nikolay 128 2008 Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085Molinet, L.; Saut, J. C.; Tzvetkov, N. 100 2001 On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106Koch, H.; Tzvetkov, N. 93 2003 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233Burq, Nicolas; Tzvetkov, Nikolay 88 2008 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 74 2011 Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460Koch, Herbert; Tzvetkov, N. 71 2005 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 70 2005 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 70 2007 Sharp well-posedness results for the BBM equation. Zbl 1170.35303Bona, Jerry; Tzvetkov, Nikolay 61 2009 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 54 2002 Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116Tzvetkov, Nikolay 53 2008 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387Burq, Nicolas; Tzvetkov, Nikolay 53 2014 Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103Molinet, L.; Saut, J.-C.; Tzvetkov, N. 52 2002 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 48 2005 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 45 2013 Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola 45 2015 Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183Tzvetkov, N. 42 2010 On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126Takaoka, H.; Tzvetkov, N. 42 2001 Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154Thomann, Laurent; Tzvetkov, Nikolay 40 2010 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 38 2004 Remark on the local ill-posedness for KdV equation. Zbl 0941.35097Tzvetkov, Nickolay 38 1999 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274Oh, Tadahiro; Tzvetkov, Nikolay 34 2017 Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090Tzvetkov, Nikolay 33 2006 Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075Tzvetkov, Nickolay 33 1998 Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374Rousset, F.; Tzvetkov, N. 31 2009 Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 31 2014 Transverse instability of the line solitary water-waves. Zbl 1225.35024Rousset, Frederic; Tzvetkov, Nikolay 29 2011 Global well-posedness for the KP-I equation. Zbl 1008.35060Molinet, L.; Saut, J. C.; Tzvetkov, N. 29 2002 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 28 2011 Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063Rousset, Frederic; Tzvetkov, Nikolay 28 2008 Strichartz estimates for long range perturbations. Zbl 1154.35077Bouclet, Jean-Marc; Tzvekov, Nikolay 27 2007 Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141Tzvetkov, Nikolay; Visciglia, Nicola 27 2014 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 25 2003 On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085Takaoka, H.; Tzvetkov, N. 25 2001 \(L^p\) properties for Gaussian random series. Zbl 1145.60019Ayache, Antoine; Tzvetkov, Nikolay 24 2008 Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola 24 2015 Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004Tzvetkov, Nikolay; Visciglia, Nicola 23 2012 On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005Bouclet, Jean-Marc; Tzvetkov, Nikolay 23 2008 Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174Mizumachi, Tetsu; Tzvetkov, Nikolay 22 2012 Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051Tzvetkov, Nikolay; Visciglia, Nicola 22 2015 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 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 21 2018 The Cauchy problem for higher-order KP equations. Zbl 0927.35098Saut, J. C.; Tzvetkov, N. 21 1999 A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028Rousset, Frederic; Tzvetkov, Nikolay 21 2010 Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243Tzvetkov, Nikolay 20 2015 On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 20 2017 Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay 19 2015 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 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076Burq, Nicolas; Tzvetkov, Nikolay 18 2007 Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052Rousset, Frederic; Tzvetkov, Nikolay 18 2012 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 18 2018 Global well-posedness for the KP-BBM equations. Zbl 1063.35140Saut, J.-C.; Tzvetkov, N. 17 2004 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 16 2016 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 16 2015 On periodic KP-I type equations. Zbl 0984.35143Saut, J.-C.; Tzvetkov, N. 15 2001 On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161Tzvetkov, Nickolay 15 1999 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 14 2007 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 13 2019 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 The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola 13 2014 Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103Molinet, L.; Saut, J. C.; Tzvetkov, N. 11 2004 On finite energy solutions of the KP-I equation. Zbl 1387.35530Koch, H.; Tzvetkov, N. 11 2008 Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081Tzvetkov, Nikolay 11 2006 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 On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018Saut, Jean-Claude; Tzvetkov, Nikolay 9 2000 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175Oh, Tadahiro; Tzvetkov, Nikolay 9 2020 Solving the 4NLS with white noise initial data. Zbl 1452.35193Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao 9 2020 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 8 2004 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 the propagation of weakly nonlinear random dispersive waves. Zbl 1293.35287de Suzzoni, Anne-Sophie; Tzvetkov, Nikolay 7 2014 Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161Godet, Nicolas; Tzvetkov, Nikolay 6 2012 Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 6 2020 Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481Sun, Chenmin; Tzvetkov, Nikolay 6 2020 On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay 5 2019 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 5 2001 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 5 2004 Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay 5 2011 New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504Sun, Chenmin; Tzvetkov, Nikolay 4 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 \(L^2\)-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 4 2010 Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay 3 2012 On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158Oh, Tadahiro; Tzvetkov, Nikolay 3 2016 Random data wave equations. Zbl 1498.60299Tzvetkov, Nikolay 3 2019 Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140Sun, Chenmin; Tzvetkov, Nikolay 3 2020 Remark on the null-condition for the nonlinear wave equation. Zbl 0949.35090Tzvetkov, Nickolay 2 2000 On the long time behavior of KdV type equations [after Martel-Merle]. Zbl 1074.35079Tzvetkov, Nikolay 2 2005 Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds. Zbl 1321.35184Mizutani, Haruya; Tzvetkov, Nikolay 2 2015 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 Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces. (Le caractère bien posé probabiliste de l’équation des ondes cubique dans des espaces de Sobolev d’indices négatifs.) Zbl 1492.35168Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay 2 2022 On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333Rousset, Frédéric; Tzvetkov, Nikolay 2 2010 An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225Burg, N.; Gérard, P.; Tzvetkov, N. 1 2003 Low regularity solutions for semilinear Dirac equation with small data. Zbl 0927.35061Tzvetkov, N. 1 1997 Refined probabilistic global well-posedness for the weakly dispersive NLS. Zbl 1479.35824Sun, Chenmin; Tzvetkov, Nikolay 1 2021 Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS. Zbl 1483.35210Genovese, Giuseppe; Lucà, Renato; Tzvetkov, Nikolay 1 2022 Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces. (Le caractère bien posé probabiliste de l’équation des ondes cubique dans des espaces de Sobolev d’indices négatifs.) Zbl 1492.35168Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay 2 2022 Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS. Zbl 1483.35210Genovese, Giuseppe; Lucà, Renato; Tzvetkov, Nikolay 1 2022 Refined probabilistic global well-posedness for the weakly dispersive NLS. Zbl 1479.35824Sun, Chenmin; Tzvetkov, Nikolay 1 2021 On the asymptotic behavior of high order moments for a family of Schrödinger equations. Zbl 1473.35516Tzvetkov, Nikolay; Visciglia, Nicola 1 2021 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175Oh, Tadahiro; Tzvetkov, Nikolay 9 2020 Solving the 4NLS with white noise initial data. Zbl 1452.35193Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao 9 2020 Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 6 2020 Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481Sun, Chenmin; Tzvetkov, Nikolay 6 2020 New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504Sun, Chenmin; Tzvetkov, Nikolay 4 2020 Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140Sun, Chenmin; Tzvetkov, Nikolay 3 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 13 2019 On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay 5 2019 Random data wave equations. Zbl 1498.60299Tzvetkov, Nikolay 3 2019 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 21 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 18 2018 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274Oh, Tadahiro; Tzvetkov, Nikolay 34 2017 On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola 20 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 16 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 3 2016 Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola 45 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 22 2015 Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243Tzvetkov, Nikolay 20 2015 Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay 19 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 16 2015 Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds. Zbl 1321.35184Mizutani, Haruya; Tzvetkov, Nikolay 2 2015 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387Burq, Nicolas; Tzvetkov, Nikolay 53 2014 Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 31 2014 Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141Tzvetkov, Nikolay; Visciglia, Nicola 27 2014 The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola 13 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 45 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 Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004Tzvetkov, Nikolay; Visciglia, Nicola 23 2012 Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174Mizumachi, Tetsu; Tzvetkov, Nikolay 22 2012 Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052Rousset, Frederic; Tzvetkov, Nikolay 18 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 3 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 74 2011 Transverse instability of the line solitary water-waves. Zbl 1225.35024Rousset, Frederic; Tzvetkov, Nikolay 29 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 28 2011 Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay 5 2011 Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183Tzvetkov, N. 42 2010 Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154Thomann, Laurent; Tzvetkov, Nikolay 40 2010 A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028Rousset, Frederic; Tzvetkov, Nikolay 21 2010 Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007Tzvetkov, Nikolay 4 2010 On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333Rousset, Frédéric; Tzvetkov, Nikolay 2 2010 Sharp well-posedness results for the BBM equation. Zbl 1170.35303Bona, Jerry; Tzvetkov, Nikolay 61 2009 Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374Rousset, F.; Tzvetkov, N. 31 2009 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062Burq, Nicolas; Tzvetkov, Nikolay 128 2008 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233Burq, Nicolas; Tzvetkov, Nikolay 88 2008 Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116Tzvetkov, Nikolay 53 2008 Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063Rousset, Frederic; Tzvetkov, Nikolay 28 2008 \(L^p\) properties for Gaussian random series. Zbl 1145.60019Ayache, Antoine; Tzvetkov, Nikolay 24 2008 On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005Bouclet, Jean-Marc; Tzvetkov, Nikolay 23 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. 70 2007 Strichartz estimates for long range perturbations. Zbl 1154.35077Bouclet, Jean-Marc; Tzvekov, Nikolay 27 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 18 2007 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 14 2007 Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090Tzvetkov, Nikolay 33 2006 Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081Tzvetkov, Nikolay 11 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. 71 2005 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 70 2005 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 48 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. 184 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 38 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 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 8 2004 Long time bounds for the periodic KP-II equation. Zbl 1073.35195Tzvetkov, N. 8 2004 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 5 2004 On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106Koch, H.; Tzvetkov, N. 93 2003 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 25 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 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 54 2002 Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103Molinet, L.; Saut, J.-C.; Tzvetkov, N. 52 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. 100 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. 25 2001 On periodic KP-I type equations. Zbl 0984.35143Saut, J.-C.; Tzvetkov, N. 15 2001 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 5 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 9 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 38 1999 The Cauchy problem for higher-order KP equations. Zbl 0927.35098Saut, J. C.; Tzvetkov, N. 21 1999 On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161Tzvetkov, Nickolay 15 1999 Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075Tzvetkov, Nickolay 33 1998 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 955 Authors 67 Tzvetkov, Nikolay 43 Oh, Tadahiro 26 Burq, Nicolas 19 Saut, Jean-Claude 16 Himonas, A. Alexandrou 16 Linares, Felipe 16 Visciglia, Nicola 16 Wang, Yuzhao 15 Gerard, Patrick 15 Thomann, Laurent 15 Yan, Wei 14 Carles, Rémi 14 Molinet, Luc 14 Panthee, Mahendra 13 Guo, Zihua 13 Herr, Sebastian 13 Kenig, Carlos Eduardo 13 Pilod, Didier 13 Ponce, Gustavo 12 Carvajal, Xavier Paredes 12 Klein, Christian 11 Esfahani, Amin 10 de Suzzoni, Anne-Sophie 10 Hani, Zaher 10 Pocovnicu, Oana 10 Staffilani, Gigliola 9 Bourgain, Jean 9 Galkowski, Jeffrey 9 Li, Junfeng 9 Muñoz, Claudio 9 Ozawa, Tohru 9 Rousset, Frédéric 9 Schippa, Robert 9 Sohinger, Vedran 9 Tacy, Melissa 9 Wang, Chengbo 8 Deng, Yu 8 Germain, Pierre 8 Kishimoto, Nobu 8 Kwak, Chulkwang 8 Liu, Yue 8 Sogge, Christopher D. 8 Tao, Terence 8 Toth, John Andrew 7 Alazard, Thomas 7 Bouclet, Jean-Marc 7 Cavalcanti, Marcelo Moreira 7 Ionescu, Alexandru D. 7 Kwon, Soonsik 7 Mammeri, Youcef 7 Maspero, Alberto 7 Palmieri, Alessandro 7 Pastor, Ademir 7 Pausader, Benoît 7 Pierfelice, Vittoria 7 Robert, Tristan 7 Sun, Chenmin 7 Tataru, Daniel 7 Wang, Ming 7 Zhao, Zehua 6 Blair, Matthew D. 6 Brzeźniak, Zdzisław 6 Cacciafesta, Federico 6 Chen, Wengu 6 Christianson, Hans 6 Huang, Jianhua 6 Ibrahim, Slim 6 Li, Yongsheng 6 Marzuola, Jeremy Louis 6 Mejía, Jorge 6 Mizutani, Haruya 6 Nahmod, Andrea R. 6 Planchon, Fabrice 6 Raphael, Pierre 6 Yue, Haitian 5 Banica, Valeria 5 Banquet Brango, Carlos 5 Bona, Jerry Lloyd 5 Cunha, Alysson 5 Duan, Jinqiao 5 Fonseca, Germán Eduardo 5 Fujiwara, Kazumasa 5 Georgiev, Vladimir S. 5 Guo, Boling 5 Hamouda, Makram 5 Hamza, Mohamed Ali 5 Haragus, Mariana 5 Hidano, Kunio 5 Imekraz, Rafik 5 Koch, Herbert 5 Laurent, Camille 5 Luca, Renato 5 Mantzavinos, Dionyssios 5 Martel, Yvan 5 Masmoudi, Nader 5 Okamoto, Mamoru 5 Phan Thành Nam 5 Privat, Yannick 5 Procesi, Michela 5 Rougerie, Nicolas ...and 855 more Authors all top 5 Cited in 190 Serials 79 Journal of Differential Equations 51 Communications in Partial Differential Equations 47 Journal of Mathematical Analysis and Applications 42 Journal of Functional Analysis 41 Communications in Mathematical Physics 37 Nonlinear Analysis. 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