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Author ID: tzvetkov.nikolay Recent zbMATH articles by "Tzvetkov, Nikolay"
Published as: Tzvetkov, Nikolay; Tzvetkov, N.; Tzvetkov, Nickolay; Tzvekov, Nikolay
all top 5

Serials

7 IMRN. International Mathematics Research Notices
6 Communications in Mathematical Physics
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Inventiones Mathematicae
4 Journal of Functional Analysis
4 Mathematische Annalen
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 Revista Matemática Iberoamericana
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
2 Stochastic and Partial Differential Equations. Analysis and Computations
1 Archive for Rational Mechanics and Analysis
1 Journal d’Analyse Mathématique
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 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 Annales Henri Lebesgue
1 Probability and Mathematical Physics
1 European Mathematical Society Magazine

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 2,850 times in 1,226 Documents Cited by Year
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
198
2004
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
141
2008
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
105
2001
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
99
2008
On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106
Koch, H.; Tzvetkov, N.
99
2003
Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
79
2011
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
75
2005
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
73
2007
Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460
Koch, Herbert; Tzvetkov, N.
73
2005
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
63
2009
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
58
2002
Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116
Tzvetkov, Nikolay
57
2008
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
57
2002
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
57
2014
Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348
Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola
55
2015
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
54
2005
Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
48
2013
On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126
Takaoka, H.; Tzvetkov, N.
45
2001
Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183
Tzvetkov, N.
44
2010
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
44
2004
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274
Oh, Tadahiro; Tzvetkov, Nikolay
42
2017
Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154
Thomann, Laurent; Tzvetkov, Nikolay
41
2010
Remark on the local ill-posedness for KdV equation. Zbl 0941.35097
Tzvetkov, Nickolay
40
1999
Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075
Tzvetkov, Nickolay
39
1998
Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090
Tzvetkov, Nikolay
33
2006
Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374
Rousset, F.; Tzvetkov, N.
33
2009
Transverse instability of the line solitary water-waves. Zbl 1225.35024
Rousset, Frederic; Tzvetkov, Nikolay
32
2011
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
32
2002
Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
32
2014
Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063
Rousset, Frederic; Tzvetkov, Nikolay
30
2008
Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141
Tzvetkov, Nikolay; Visciglia, Nicola
30
2014
On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
30
2017
Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079
Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay
29
2011
Strichartz estimates for long range perturbations. Zbl 1154.35077
Bouclet, Jean-Marc; Tzvekov, Nikolay
29
2007
Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136
Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola
27
2015
On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085
Takaoka, H.; Tzvetkov, N.
27
2001
Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243
Tzvetkov, Nikolay
25
2015
\(L^p\) properties for Gaussian random series. Zbl 1145.60019
Ayache, Antoine; Tzvetkov, Nikolay
25
2008
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
25
2003
Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174
Mizumachi, Tetsu; Tzvetkov, Nikolay
25
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 1405.35198
Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay
25
2018
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
24
1999
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
24
2007
On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005
Bouclet, Jean-Marc; Tzvetkov, Nikolay
24
2008
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
24
2018
Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004
Tzvetkov, Nikolay; Visciglia, Nicola
24
2012
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
23
2000
Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051
Tzvetkov, Nikolay; Visciglia, Nicola
23
2015
Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284
Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay
22
2015
Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065
Molinet, L.; Saut, J. C.; Tzvetkov, N.
22
2007
A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028
Rousset, Frederic; Tzvetkov, Nikolay
21
2010
Global low-regularity solutions for Kadomtsev-Petviashvili equation. Zbl 0977.35125
Tzvetkov, N.
21
2000
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
18
2004
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
18
2007
Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052
Rousset, Frederic; Tzvetkov, Nikolay
17
2012
Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space. Zbl 1365.35164
Tzvetkov, Nikolay; Visciglia, Nicola
17
2016
Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
17
2015
On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161
Tzvetkov, Nickolay
16
1999
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 1421.35341
Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay
16
2019
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
15
2001
The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148
Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola
15
2014
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 1317.35208
Tzvetkov, Nikolay; Visciglia, Nicola
14
2013
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
14
2007
On finite energy solutions of the KP-I equation. Zbl 1387.35530
Koch, H.; Tzvetkov, N.
14
2008
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
13
2004
Solving the 4NLS with white noise initial data. Zbl 1452.35193
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao
13
2020
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175
Oh, Tadahiro; Tzvetkov, Nikolay
13
2020
Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
12
2020
Global regularity for the energy-critical NLS on \(\mathbb S^3\). Zbl 1307.35285
Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng
11
2014
Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081
Tzvetkov, Nikolay
11
2006
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
10
2000
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
8
2004
Long time bounds for the periodic KP-II equation. Zbl 1073.35195
Tzvetkov, N.
8
2004
A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation. Zbl 1081.35097
Isaza J., Pedro; Mejía L., Jorge; Tzvetkov, Nikolay
8
2006
Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481
Sun, Chenmin; Tzvetkov, Nikolay
8
2020
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 1492.35168
Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay
7
2022
On the propagation of weakly nonlinear random dispersive waves. Zbl 1293.35287
de Suzzoni, Anne-Sophie; Tzvetkov, Nikolay
7
2014
Random data wave equations. Zbl 1498.60299
Tzvetkov, Nikolay
7
2019
Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions. Zbl 1494.35117
Gunaratnam, Trishen; Oh, Tadahiro; Tzvetkov, Nikolay; Weber, Hendrik
7
2022
Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161
Godet, Nicolas; Tzvetkov, Nikolay
6
2012
Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140
Sun, Chenmin; Tzvetkov, Nikolay
6
2020
Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174
Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay
5
2011
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
5
2001
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
5
2004
On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319
Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay
5
2019
\(L^2\)-stability of solitary waves for the KdV equation via Pego and Weinstein’s method. Zbl 1316.35255
Mizumachi, Tetsu; Tzvetkov, Nikolay
5
2014
On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063
Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola
4
2016
Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007
Tzvetkov, Nikolay
4
2010
New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504
Sun, Chenmin; Tzvetkov, Nikolay
4
2020
Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS. Zbl 1483.35210
Genovese, Giuseppe; Lucà, Renato; Tzvetkov, Nikolay
4
2022
Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164
Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay
3
2012
On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158
Oh, Tadahiro; Tzvetkov, Nikolay
3
2016
Remark on the null-condition for the nonlinear wave equation. Zbl 0949.35090
Tzvetkov, Nickolay
2
2000
Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds. Zbl 1321.35184
Mizutani, Haruya; Tzvetkov, Nikolay
2
2015
On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333
Rousset, Frédéric; Tzvetkov, Nikolay
2
2010
Remark on the local regularity for Kadomtsev-Petviashvili-II equation. (Remarque sur la régularité locale de l’équation de Kadomtsev-Petviashvili-II.) Zbl 0920.35140
Tzvetkov, Nickolay
2
1998
On the long time behavior of KdV type equations [after Martel-Merle]. Zbl 1074.35079
Tzvetkov, Nikolay
2
2005
Refined probabilistic global well-posedness for the weakly dispersive NLS. Zbl 1479.35824
Sun, Chenmin; Tzvetkov, Nikolay
2
2021
On the asymptotic behavior of high order moments for a family of Schrödinger equations. Zbl 1473.35516
Tzvetkov, Nikolay; Visciglia, Nicola
2
2021
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation. Zbl 1518.35704
Genovese, Giuseppe; Lucà, Renato; Tzvetkov, Nikolay
1
2023
Stochastic nonlinear wave dynamics on compact surfaces. (Sur l’équation des ondes non-linéaire stochastique sur les surfaces compactes.) Zbl 1523.35224
Oh, Tadahiro; Robert, Tristan; Tzvetkov, Nikolay
1
2023
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 1492.35168
Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay
7
2022
Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions. Zbl 1494.35117
Gunaratnam, Trishen; Oh, Tadahiro; Tzvetkov, Nikolay; Weber, Hendrik
7
2022
Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS. Zbl 1483.35210
Genovese, Giuseppe; Lucà, Renato; Tzvetkov, Nikolay
4
2022
Refined probabilistic global well-posedness for the weakly dispersive NLS. Zbl 1479.35824
Sun, Chenmin; Tzvetkov, Nikolay
2
2021
On the asymptotic behavior of high order moments for a family of Schrödinger equations. Zbl 1473.35516
Tzvetkov, Nikolay; Visciglia, Nicola
2
2021
On the nonlinear wave equation with time-periodic potential. Zbl 1470.35237
Petkov, Vesselin; Tzvetkov, Nikolay
1
2021
Solving the 4NLS with white noise initial data. Zbl 1452.35193
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao
13
2020
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175
Oh, Tadahiro; Tzvetkov, Nikolay
13
2020
Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
12
2020
Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481
Sun, Chenmin; Tzvetkov, Nikolay
8
2020
Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140
Sun, Chenmin; Tzvetkov, Nikolay
6
2020
New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504
Sun, Chenmin; Tzvetkov, Nikolay
4
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 1421.35341
Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay
16
2019
Random data wave equations. Zbl 1498.60299
Tzvetkov, Nikolay
7
2019
On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319
Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay
5
2019
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 1405.35198
Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay
25
2018
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
24
2018
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274
Oh, Tadahiro; Tzvetkov, Nikolay
42
2017
On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
30
2017
Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space. Zbl 1365.35164
Tzvetkov, Nikolay; Visciglia, Nicola
17
2016
On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063
Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola
4
2016
On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158
Oh, Tadahiro; Tzvetkov, Nikolay
3
2016
Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348
Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola
55
2015
Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136
Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola
27
2015
Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243
Tzvetkov, Nikolay
25
2015
Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051
Tzvetkov, Nikolay; Visciglia, Nicola
23
2015
Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284
Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay
22
2015
Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
17
2015
Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds. Zbl 1321.35184
Mizutani, Haruya; Tzvetkov, Nikolay
2
2015
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
57
2014
Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
32
2014
Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141
Tzvetkov, Nikolay; Visciglia, Nicola
30
2014
The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148
Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola
15
2014
Global regularity for the energy-critical NLS on \(\mathbb S^3\). Zbl 1307.35285
Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng
11
2014
On the propagation of weakly nonlinear random dispersive waves. Zbl 1293.35287
de Suzzoni, Anne-Sophie; Tzvetkov, Nikolay
7
2014
\(L^2\)-stability of solitary waves for the KdV equation via Pego and Weinstein’s method. Zbl 1316.35255
Mizumachi, Tetsu; Tzvetkov, Nikolay
5
2014
Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
48
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 1317.35208
Tzvetkov, Nikolay; Visciglia, Nicola
14
2013
Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174
Mizumachi, Tetsu; Tzvetkov, Nikolay
25
2012
Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004
Tzvetkov, Nikolay; Visciglia, Nicola
24
2012
Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052
Rousset, Frederic; Tzvetkov, Nikolay
17
2012
Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161
Godet, Nicolas; Tzvetkov, Nikolay
6
2012
Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164
Farah, 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 1230.35130
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
79
2011
Transverse instability of the line solitary water-waves. Zbl 1225.35024
Rousset, Frederic; Tzvetkov, Nikolay
32
2011
Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079
Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay
29
2011
Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174
Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay
5
2011
Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183
Tzvetkov, N.
44
2010
Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154
Thomann, Laurent; Tzvetkov, Nikolay
41
2010
A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028
Rousset, Frederic; Tzvetkov, Nikolay
21
2010
Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007
Tzvetkov, Nikolay
4
2010
On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333
Rousset, Frédéric; Tzvetkov, Nikolay
2
2010
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
63
2009
Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374
Rousset, F.; Tzvetkov, N.
33
2009
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
141
2008
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
99
2008
Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116
Tzvetkov, Nikolay
57
2008
Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063
Rousset, Frederic; Tzvetkov, Nikolay
30
2008
\(L^p\) properties for Gaussian random series. Zbl 1145.60019
Ayache, Antoine; Tzvetkov, Nikolay
25
2008
On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005
Bouclet, Jean-Marc; Tzvetkov, Nikolay
24
2008
On finite energy solutions of the KP-I equation. Zbl 1387.35530
Koch, H.; Tzvetkov, N.
14
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
73
2007
Strichartz estimates for long range perturbations. Zbl 1154.35077
Bouclet, Jean-Marc; Tzvekov, Nikolay
29
2007
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
24
2007
Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065
Molinet, L.; Saut, J. C.; Tzvetkov, N.
22
2007
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
18
2007
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
14
2007
Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090
Tzvetkov, Nikolay
33
2006
Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081
Tzvetkov, Nikolay
11
2006
A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation. Zbl 1081.35097
Isaza J., Pedro; Mejía L., Jorge; Tzvetkov, Nikolay
8
2006
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
75
2005
Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460
Koch, Herbert; Tzvetkov, N.
73
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
54
2005
On the long time behavior of KdV type equations [after Martel-Merle]. Zbl 1074.35079
Tzvetkov, Nikolay
2
2005
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
198
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
44
2004
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
18
2004
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
13
2004
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
8
2004
Long time bounds for the periodic KP-II equation. Zbl 1073.35195
Tzvetkov, N.
8
2004
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
5
2004
On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106
Koch, H.; Tzvetkov, N.
99
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
25
2003
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225
Burg, N.; Gérard, P.; Tzvetkov, N.
1
2003
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
58
2002
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
57
2002
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
32
2002
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
105
2001
On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126
Takaoka, H.; Tzvetkov, N.
45
2001
On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085
Takaoka, H.; Tzvetkov, N.
27
2001
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
15
2001
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
5
2001
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
23
2000
Global low-regularity solutions for Kadomtsev-Petviashvili equation. Zbl 0977.35125
Tzvetkov, N.
21
2000
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
10
2000
Remark on the null-condition for the nonlinear wave equation. Zbl 0949.35090
Tzvetkov, Nickolay
2
2000
Low regularity solutions for a generalized Zakharov system. Zbl 0978.35056
Tzvetkov, Nickolay
1
2000
...and 6 more Documents
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Cited by 1,008 Authors

75 Tzvetkov, Nikolay
45 Oh, Tadahiro
26 Burq, Nicolas
20 Visciglia, Nicola
19 Gerard, Patrick
19 Saut, Jean-Claude
17 Linares, Felipe
16 Himonas, A. Alexandrou
16 Wang, Yuzhao
15 Thomann, Laurent
15 Yan, Wei
14 Carles, Rémi
14 Guo, Zihua
14 Herr, Sebastian
14 Kenig, Carlos Eduardo
14 Molinet, Luc
14 Panthee, Mahendra
14 Pilod, Didier
14 Ponce, Gustavo
13 Staffilani, Gigliola
12 Carvajal, Xavier Paredes
12 Klein, Christian
12 Schippa, Robert
11 Esfahani, Amin
11 Hani, Zaher
11 Pocovnicu, Oana
10 de Suzzoni, Anne-Sophie
10 Kwak, Chulkwang
10 Rousset, Frédéric
10 Sohinger, Vedran
9 Bourgain, Jean
9 Deng, Yu
9 Galkowski, Jeffrey
9 Li, Junfeng
9 Muñoz, Claudio
9 Ozawa, Tohru
9 Tacy, Melissa
9 Wang, Chengbo
8 Cavalcanti, Marcelo Moreira
8 Germain, Pierre
8 Hamza, Mohamed Ali
8 Kishimoto, Nobu
8 Liu, Yue
8 Maspero, Alberto
8 Pausader, Benoît
8 Planchon, Fabrice
8 Robert, Tristan
8 Sogge, Christopher D.
8 Tao, Terence
8 Toth, John Andrew
7 Alazard, Thomas
7 Bouclet, Jean-Marc
7 Brzeźniak, Zdzisław
7 Hamouda, Makram
7 Ibrahim, Slim
7 Ionescu, Alexandru D.
7 Kwon, Soonsik
7 Luca, Renato
7 Mammeri, Youcef
7 Marzuola, Jeremy Louis
7 Nahmod, Andrea R.
7 Palmieri, Alessandro
7 Pastor, Ademir
7 Pierfelice, Vittoria
7 Raphael, Pierre
7 Sun, Chenmin
7 Tataru, Daniel
7 Wang, Ming
7 Zhao, Zehua
6 Blair, Matthew D.
6 Cacciafesta, Federico
6 Chen, Wengu
6 Christianson, Hans
6 Huang, Jianhua
6 Li, Yongsheng
6 Mejía, Jorge
6 Mizumachi, Tetsu
6 Mizutani, Haruya
6 Yue, Haitian
6 Zheng, Jiqiang
5 Banica, Valeria
5 Banquet Brango, Carlos
5 Bényi, Árpád
5 Bona, Jerry Lloyd
5 Corrêa, Wellington José
5 Côte, Raphaël
5 Cunha, Alysson
5 Domingos Cavalcanti, Valéria Neves
5 Duan, Jinqiao
5 Feola, Roberto
5 Fonseca, Germán Eduardo
5 Fu, Ying
5 Fujiwara, Kazumasa
5 Gassot, Louise
5 Genovese, Giuseppe
5 Georgiev, Vladimir S.
5 Guo, Boling
5 Haragus, Mariana
5 Hidano, Kunio
5 Huo, Zhaohui
...and 908 more Authors
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Cited in 204 Serials

83 Journal of Differential Equations
52 Communications in Partial Differential Equations
48 Journal of Mathematical Analysis and Applications
47 Journal of Functional Analysis
45 Communications in Mathematical Physics
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
35 Communications on Pure and Applied Analysis
33 SIAM Journal on Mathematical Analysis
31 Transactions of the American Mathematical Society
31 Discrete and Continuous Dynamical Systems
29 Archive for Rational Mechanics and Analysis
23 Proceedings of the American Mathematical Society
21 Journal of Mathematical Physics
20 Mathematische Annalen
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Nonlinearity
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Analysis & PDE
14 Advances in Mathematics
14 Duke Mathematical Journal
14 Inventiones Mathematicae
14 Journal of the European Mathematical Society (JEMS)
14 Séminaire Laurent Schwartz. EDP et Applications
13 Stochastic and Partial Differential Equations. Analysis and Computations
12 Journal of Evolution Equations
11 Journal of Dynamics and Differential Equations
10 Bulletin de la Société Mathématique de France
10 The Journal of Geometric Analysis
10 Nonlinear Analysis. Real World Applications
9 Communications on Pure and Applied Mathematics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Revista Matemática Iberoamericana
9 Journal of Hyperbolic Differential Equations
8 Quarterly of Applied Mathematics
8 Physica D
8 Annales Henri Poincaré
8 Discrete and Continuous Dynamical Systems. Series B
7 Annales de l’Institut Fourier
7 Mathematische Zeitschrift
7 Forum Mathematicum
7 Journal of Nonlinear Science
7 Science China. Mathematics
6 Journal d’Analyse Mathématique
6 Journal of the American Mathematical Society
6 Potential Analysis
6 NoDEA. Nonlinear Differential Equations and Applications
6 Journal of Mathematical Fluid Mechanics
6 Communications in Contemporary Mathematics
6 Pure and Applied Analysis
5 Applicable Analysis
5 Studies in Applied Mathematics
5 Geometric and Functional Analysis. GAFA
5 The Journal of Fourier Analysis and Applications
5 Discrete and Continuous Dynamical Systems. Series S
5 Evolution Equations and Control Theory
4 SIAM Journal on Control and Optimization
4 Probability Theory and Related Fields
4 Asymptotic Analysis
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Boundary Value Problems
4 Journal of Spectral Theory
4 Forum of Mathematics, Pi
4 Journal de l’École Polytechnique – Mathématiques
3 Mathematical Methods in the Applied Sciences
3 American Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
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3 Memoirs of the American Mathematical Society
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 Acta Mathematica Sinica. English Series
3 Portugaliae Mathematica. Nova Série
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Mediterranean Journal of Mathematics
3 Mathematical Control and Related Fields
3 Forum of Mathematics, Sigma
3 Annals of PDE
3 Annales Henri Lebesgue
2 Israel Journal of Mathematics
2 Journal of Computational Physics
2 The Annals of Probability
2 Indiana University Mathematics Journal
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 Pacific Journal of Mathematics
2 Bulletin of the Korean Mathematical Society
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Stochastic Processes and their Applications
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Cited in 46 Fields

1,155 Partial differential equations (35-XX)
171 Fluid mechanics (76-XX)
161 Dynamical systems and ergodic theory (37-XX)
124 Global analysis, analysis on manifolds (58-XX)
94 Probability theory and stochastic processes (60-XX)
82 Quantum theory (81-XX)
67 Harmonic analysis on Euclidean spaces (42-XX)
38 Operator theory (47-XX)
38 Statistical mechanics, structure of matter (82-XX)
36 Systems theory; control (93-XX)
31 Numerical analysis (65-XX)
27 Functional analysis (46-XX)
18 Differential geometry (53-XX)
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13 Measure and integration (28-XX)
11 Topological groups, Lie groups (22-XX)
11 Special functions (33-XX)
11 Mechanics of deformable solids (74-XX)
9 Ordinary differential equations (34-XX)
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8 Geophysics (86-XX)
7 Potential theory (31-XX)
7 Integral transforms, operational calculus (44-XX)
6 Mechanics of particles and systems (70-XX)
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