Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces

Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay

Annales de l'Institut Fourier, Volume 72 (2022) p. 771-830

Universality results for a class of nonlinear wave equations and their Gibbs measures

Sun, Chenmin; Tzvetkov, Nikolay; Xu, Weijun

Séminaire Laurent Schwartz — EDP et applications, (2021-2022) p. 1-10

Concerning the pathological set in the context of probabilistic well-posedness

Sun, Chenmin; Tzvetkov, Nikolay

Comptes Rendus. Mathématique, Volume 358 (2020) p. 989-999

Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion

Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay

Comptes Rendus. Mathématique, Volume 357 (2019) p. 366-381

An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay

Journal de l’École polytechnique — Mathématiques, Volume 5 (2018) p. 793-841

Remarks on the Gibbs measures for nonlinear dispersive equations

Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay

Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 27 (2018) p. 527-597

On the transport of Gaussian measures under the flow of Hamiltonian PDEs

Oh, Tadahiro; Tzvetkov, Nikolay

Séminaire Laurent Schwartz — EDP et applications, (2015-2016) p. 1-9

Global regularity for the energy-critical NLS on ${𝕊}^3$

Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng

Annales de l'I.H.P. Analyse non linéaire, Volume 31 (2014) p. 315-338

Invariant measures and long-time behavior for the Benjamin-Ono equation

Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola

Journées équations aux dérivées partielles, no. 11 (2014) p. 1-14

Growing Sobolev norms for the cubic defocusing Schrödinger equation

Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola

Séminaire Laurent Schwartz — EDP et applications, (2013-2014) p. 1-11

Long time dynamics for the one dimensional non linear Schrödinger equation

Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay

Annales de l'Institut Fourier, Volume 63 (2013) p. 2137-2198

Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation

Tzvetkov, Nikolay; Visciglia, Nicola

Annales scientifiques de l'École Normale Supérieure, Volume 46 (2013) p. 249-299

Strichartz estimates for the periodic non-elliptic Schrödinger equation

Godet, Nicolas; Tzvetkov, Nikolay

Comptes Rendus. Mathématique, Volume 350 (2012) p. 955-958

Global well-posedness for the KP-II equation on the background of a non-localized solution

Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay

Annales de l'I.H.P. Analyse non linéaire, Volume 28 (2011) p. 653-676

Ondes de surface faiblement non-linéaires

Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay

Séminaire Laurent Schwartz — EDP et applications, (2011-2012) p. 1-13

Invariant measures for the defocusing Nonlinear Schrödinger equation

Tzvetkov, Nikolay

Annales de l'Institut Fourier, Volume 58 (2008) p. 2543-2604

Riemannian analogue of a Paley-Zygmund theorem

Tzvetkov, Nikolay

Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz", (2008-2009) p. 1-14

Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay

Annales scientifiques de l'École Normale Supérieure, Volume 38 (2005) p. 255-301

On the long time behavior of KdV type equations

Tzvetkov, Nikolay

Astérisque, Séminaire Bourbaki : volume 2003/2004, exposés 924-937, (2005) p. 219-248

Multilinear estimates for the Laplace spectral projectors on compact manifolds

Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay

Comptes Rendus. Mathématique, Volume 338 (2004) p. 359-364