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Tzvetkov, Nikolay

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Author ID: tzvetkov.nikolay Recent zbMATH articles by "Tzvetkov, Nikolay"
Published as: Tzvetkov, Nikolay; Tzvetkov, N.; Tzvetkov, Nickolay; Tzvekov, Nikolay
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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
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
2 Séminaire Laurent Schwartz. EDP et Applications
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

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 2,195 times in 963 Documents Cited by Year
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
155
2004
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
98
2008
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
90
2001
On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106
Koch, H.; Tzvetkov, N.
80
2003
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
67
2008
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
62
2011
Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460
Koch, Herbert; Tzvetkov, N.
62
2005
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
62
2007
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
60
2005
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
52
2009
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
48
2002
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
48
2002
Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116
Tzvetkov, Nikolay
47
2008
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
42
2005
On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126
Takaoka, H.; Tzvetkov, N.
41
2001
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
40
2014
Remark on the local ill-posedness for KdV equation. Zbl 0941.35097
Tzvetkov, 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 1317.35226
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
36
2013
Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154
Thomann, Laurent; Tzvetkov, Nikolay
35
2010
Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183
Tzvetkov, N.
35
2010
Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348
Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola
33
2015
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
32
2004
Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374
Rousset, F.; Tzvetkov, N.
30
2009
Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090
Tzvetkov, Nikolay
29
2006
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
28
2002
Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063
Rousset, Frederic; Tzvetkov, Nikolay
26
2008
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274
Oh, Tadahiro; Tzvetkov, Nikolay
26
2017
Transverse instability of the line solitary water-waves. Zbl 1225.35024
Rousset, Frederic; Tzvetkov, Nikolay
25
2011
Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
24
2014
Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075
Tzvetkov, Nickolay
24
1998
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
24
2011
Strichartz estimates for long range perturbations. Zbl 1154.35077
Bouclet, Jean-Marc; Tzvekov, Nikolay
23
2007
On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085
Takaoka, H.; Tzvetkov, N.
22
2001
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
22
2003
Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174
Mizumachi, Tetsu; Tzvetkov, Nikolay
21
2012
Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004
Tzvetkov, Nikolay; Visciglia, Nicola
21
2012
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
21
2007
Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141
Tzvetkov, Nikolay; Visciglia, Nicola
21
2014
Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136
Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola
20
2015
On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005
Bouclet, Jean-Marc; Tzvetkov, Nikolay
20
2008
\(L^p\) properties for Gaussian random series. Zbl 1145.60019
Ayache, Antoine; Tzvetkov, Nikolay
20
2008
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
19
2000
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
18
1999
Global low-regularity solutions for Kadomtsev-Petviashvili equation. Zbl 0977.35125
Tzvetkov, N.
18
2000
A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028
Rousset, Frederic; Tzvetkov, Nikolay
18
2010
Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051
Tzvetkov, Nikolay; Visciglia, Nicola
18
2015
Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284
Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay
17
2015
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
17
2004
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
17
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.
17
2007
Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052
Rousset, Frederic; Tzvetkov, Nikolay
16
2012
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
16
2018
On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
15
2017
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
15
2018
Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243
Tzvetkov, Nikolay
14
2015
Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217
Burq, 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 1365.35164
Tzvetkov, Nikolay; Visciglia, Nicola
13
2016
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
13
2001
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
13
2007
On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161
Tzvetkov, Nickolay
12
1999
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
11
2004
The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148
Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola
11
2014
On finite energy solutions of the KP-I equation. Zbl 1387.35530
Koch, H.; Tzvetkov, N.
11
2008
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081
Tzvetkov, Nikolay
10
2006
Global regularity for the energy-critical NLS on \(\mathbb S^3\). Zbl 1307.35285
Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng
10
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
10
2013
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
10
2019
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
8
2000
Long time bounds for the periodic KP-II equation. Zbl 1073.35195
Tzvetkov, N.
8
2004
On the propagation of weakly nonlinear random dispersive waves. Zbl 1293.35287
de Suzzoni, Anne-Sophie; Tzvetkov, Nikolay
7
2014
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
7
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
7
2006
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175
Oh, Tadahiro; Tzvetkov, Nikolay
6
2020
Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161
Godet, Nicolas; Tzvetkov, Nikolay
5
2012
Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
4
2020
New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504
Sun, Chenmin; Tzvetkov, Nikolay
4
2020
Solving the 4NLS with white noise initial data. Zbl 1452.35193
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao
4
2020
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174
Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay
4
2011
\(L^2\)-stability of solitary waves for the KdV equation via Pego and Weinstein’s method. Zbl 1316.35255
Mizumachi, Tetsu; Tzvetkov, Nikolay
4
2014
On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319
Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay
4
2019
Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007
Tzvetkov, Nikolay
3
2010
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
3
2016
Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481
Sun, Chenmin; Tzvetkov, Nikolay
2
2020
Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164
Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay
2
2012
On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158
Oh, Tadahiro; Tzvetkov, Nikolay
2
2016
Remark on the null-condition for the nonlinear wave equation. Zbl 0949.35090
Tzvetkov, Nickolay
2
2000
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
Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140
Sun, Chenmin; Tzvetkov, Nikolay
1
2020
Low regularity solutions for a generalized Zakharov system. Zbl 0978.35056
Tzvetkov, Nickolay
1
2000
An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225
Burg, N.; Gérard, P.; Tzvetkov, N.
1
2003
On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333
Rousset, Frédéric; Tzvetkov, Nikolay
1
2010
Low regularity solutions for semilinear Dirac equation with small data. Zbl 0927.35061
Tzvetkov, N.
1
1997
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175
Oh, Tadahiro; Tzvetkov, Nikolay
6
2020
Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Zbl 1448.35475
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
4
2020
New examples of probabilistic well-posedness for nonlinear wave equations. Zbl 1437.35504
Sun, Chenmin; Tzvetkov, Nikolay
4
2020
Solving the 4NLS with white noise initial data. Zbl 1452.35193
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao
4
2020
Gibbs measure dynamics for the fractional NLS. Zbl 1448.35481
Sun, Chenmin; Tzvetkov, Nikolay
2
2020
Concerning the pathological set in the context of probabilistic well-posedness. Zbl 1456.35140
Sun, Chenmin; Tzvetkov, Nikolay
1
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
10
2019
On the periodic Zakharov-Kuznetsov equation. Zbl 1420.35319
Linares, Felipe; Panthee, Mahendra; Robert, Tristan; Tzvetkov, Nikolay
4
2019
Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193
Burq, 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 1405.35198
Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay
15
2018
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274
Oh, Tadahiro; Tzvetkov, Nikolay
26
2017
On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds. Zbl 1371.35276
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola
15
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
13
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
3
2016
On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158
Oh, Tadahiro; Tzvetkov, Nikolay
2
2016
Modified scattering for the cubic Schrödinger equation on product spaces and applications. Zbl 1326.35348
Hani, Zaher; Pausader, Benoit; Tzvetkov, Nikolay; Visciglia, Nicola
33
2015
Invariant measures and long time behaviour for the Benjamin-Ono equation. III. Zbl 1379.37136
Deng, Yu; Tzvetkov, Nikolay; Visciglia, Nicola
20
2015
Invariant measures and long time behaviour for the Benjamin-Ono equation. II. Zbl 1315.37051
Tzvetkov, Nikolay; Visciglia, Nicola
18
2015
Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284
Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay
17
2015
Quasiinvariant Gaussian measures for one-dimensional Hamiltonian partial differential equations. Zbl 1333.35243
Tzvetkov, Nikolay
14
2015
Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
14
2015
Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387
Burq, Nicolas; Tzvetkov, Nikolay
40
2014
Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
24
2014
Invariant measures and long-time behavior for the Benjamin-Ono equation. Zbl 1301.35141
Tzvetkov, Nikolay; Visciglia, Nicola
21
2014
The nonlinear Schrödinger equation ground states on product spaces. Zbl 1294.35148
Terracini, Susanna; Tzvetkov, Nikolay; Visciglia, Nicola
11
2014
Global regularity for the energy-critical NLS on \(\mathbb S^3\). Zbl 1307.35285
Pausader, Benoit; Tzvetkov, Nikolay; Wang, Xuecheng
10
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
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 1317.35226
Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay
36
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
10
2013
Stability of the line soliton of the KP-II equation under periodic transverse perturbations. Zbl 1233.35174
Mizumachi, Tetsu; Tzvetkov, Nikolay
21
2012
Small data scattering for the nonlinear Schrödinger equation on product spaces. Zbl 1247.35004
Tzvetkov, Nikolay; Visciglia, Nicola
21
2012
Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052
Rousset, Frederic; Tzvetkov, Nikolay
16
2012
Strichartz estimates for the periodic non-elliptic Schrödinger equation. Zbl 1260.35161
Godet, Nicolas; Tzvetkov, Nikolay
5
2012
Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164
Farah, 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 1230.35130
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
62
2011
Transverse instability of the line solitary water-waves. Zbl 1225.35024
Rousset, Frederic; Tzvetkov, Nikolay
25
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
24
2011
Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174
Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay
4
2011
Gibbs measure for the periodic derivative nonlinear Schrödinger equation. Zbl 1204.35154
Thomann, Laurent; Tzvetkov, Nikolay
35
2010
Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation. Zbl 1188.35183
Tzvetkov, N.
35
2010
A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028
Rousset, Frederic; Tzvetkov, Nikolay
18
2010
Riemannian analogue of a Paley-Zygmund theorem. Zbl 1236.43007
Tzvetkov, Nikolay
3
2010
On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333
Rousset, Frédéric; Tzvetkov, Nikolay
1
2010
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
52
2009
Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374
Rousset, F.; Tzvetkov, N.
30
2009
Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062
Burq, Nicolas; Tzvetkov, Nikolay
98
2008
Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233
Burq, Nicolas; Tzvetkov, Nikolay
67
2008
Invariant measures for the defocusing nonlinear Schrödinger equation. Zbl 1171.35116
Tzvetkov, Nikolay
47
2008
Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063
Rousset, Frederic; Tzvetkov, Nikolay
26
2008
On global Strichartz estimates for non-trapping metrics. Zbl 1168.35005
Bouclet, Jean-Marc; Tzvetkov, Nikolay
20
2008
\(L^p\) properties for Gaussian random series. Zbl 1145.60019
Ayache, Antoine; Tzvetkov, Nikolay
20
2008
On finite energy solutions of the KP-I equation. Zbl 1387.35530
Koch, H.; Tzvetkov, N.
11
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
62
2007
Strichartz estimates for long range perturbations. Zbl 1154.35077
Bouclet, Jean-Marc; Tzvekov, Nikolay
23
2007
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
21
2007
Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076
Burq, Nicolas; Tzvetkov, Nikolay
17
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.
17
2007
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
13
2007
Invariant measures for the nonlinear Schrödinger equation on the disc. Zbl 1142.35090
Tzvetkov, Nikolay
29
2006
Ill-posedness issues for nonlinear dispersive equations. Zbl 1158.35081
Tzvetkov, Nikolay
10
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
7
2006
Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460
Koch, Herbert; Tzvetkov, N.
62
2005
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
60
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
42
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.
155
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
32
2004
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
17
2004
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
11
2004
Long time bounds for the periodic KP-II equation. Zbl 1073.35195
Tzvetkov, N.
8
2004
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
7
2004
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106
Koch, H.; Tzvetkov, N.
80
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
22
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.
48
2002
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
48
2002
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
28
2002
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
90
2001
On the local regularity of the Kadomtsev-Petviashvili-II equation. Zbl 0977.35126
Takaoka, H.; Tzvetkov, N.
41
2001
On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\). Zbl 0976.35085
Takaoka, H.; Tzvetkov, N.
22
2001
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
13
2001
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
19
2000
Global low-regularity solutions for Kadomtsev-Petviashvili equation. Zbl 0977.35125
Tzvetkov, N.
18
2000
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
8
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
Remark on the local ill-posedness for KdV equation. Zbl 0941.35097
Tzvetkov, Nickolay
37
1999
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
18
1999
On the Cauchy problem for Kadomtsev-Petviashvili equation. Zbl 0934.35161
Tzvetkov, Nickolay
12
1999
Existence of global solutions to nonlinear massless Dirac system and wave equation with small data. Zbl 0945.35075
Tzvetkov, Nickolay
24
1998
Remark on the local regularity for Kadomtsev-Petviashvili-II equation. (Remarque sur la régularité locale de l’équation de Kadomtsev-Petviashvili-II.) Zbl 0920.35140
Tzvetkov, Nickolay
2
1998
Low regularity solutions for semilinear Dirac equation with small data. Zbl 0927.35061
Tzvetkov, N.
1
1997
all top 5

Cited by 815 Authors

60 Tzvetkov, Nikolay
37 Oh, Tadahiro
23 Burq, Nicolas
18 Saut, Jean-Claude
16 Linares, Felipe
15 Himonas, A. Alexandrou
14 Carles, Rémi
14 Gerard, Patrick
14 Visciglia, Nicola
14 Wang, Yuzhao
13 Guo, Zihua
13 Herr, Sebastian
13 Kenig, Carlos Eduardo
13 Molinet, Luc
13 Pilod, Didier
13 Ponce, Gustavo
12 Thomann, Laurent
11 Klein, Christian
11 Panthee, Mahendra
10 Carvajal, Xavier Paredes
10 de Suzzoni, Anne-Sophie
10 Yan, Wei
9 Bourgain, Jean
9 Esfahani, Amin
9 Galkowski, Jeffrey
9 Hani, Zaher
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 Sogge, Christopher D.
8 Sohinger, Vedran
8 Tao, Terence
8 Toth, John Andrew
7 Ionescu, Alexandru D.
7 Kwon, Soonsik
7 Liu, Yue
7 Ozawa, Tohru
7 Pastor, Ademir
7 Robert, Tristan
7 Schippa, Robert
6 Alazard, Thomas
6 Blair, Matthew D.
6 Bouclet, Jean-Marc
6 Cavalcanti, Marcelo Moreira
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 Pausader, Benoît
6 Planchon, Fabrice
6 Raphael, Pierre
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 Luca, Renato
5 Mantzavinos, Dionyssios
5 Martel, Yvan
5 Masmoudi, Nader
5 Maspero, Alberto
5 Nahmod, Andrea R.
5 Okamoto, Mamoru
5 Phan Thành Nam
5 Pierfelice, Vittoria
5 Procesi, Michela
5 Rougerie, Nicolas
5 Salort, Delphine
5 Sun, Chenmin
5 Tataru, Daniel
5 Wang, Ming
5 Yue, Haitian
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
4 Cunha, Alysson
4 Dinh, Van Duong
4 Georgiev, Vladimir S.
4 Grünrock, Axel
...and 715 more Authors
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Cited in 166 Serials

69 Journal of Differential Equations
46 Communications in Partial Differential Equations
41 Journal of Mathematical Analysis and Applications
39 Journal of Functional Analysis
38 Communications in Mathematical Physics
33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Communications on Pure and Applied Analysis
28 Discrete and Continuous Dynamical Systems
27 Transactions of the American Mathematical Society
27 SIAM Journal on Mathematical Analysis
25 Archive for Rational Mechanics and Analysis
22 Proceedings of the American Mathematical Society
19 Journal of Mathematical Physics
18 Mathematische Annalen
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)
12 Nonlinearity
12 Advances in Mathematics
11 Séminaire Laurent Schwartz. EDP et Applications
10 Inventiones Mathematicae
9 Journal of Dynamics and Differential Equations
9 Journal of Evolution Equations
8 Journal of Hyperbolic Differential Equations
8 Stochastic and Partial Differential Equations. Analysis and Computations
7 Communications on Pure and Applied Mathematics
7 Quarterly of Applied Mathematics
7 Physica D
7 Forum Mathematicum
7 The Journal of Geometric Analysis
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Nonlinear Science
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 Annales de l’Institut Fourier
5 Revista Matemática Iberoamericana
5 Journal of the American Mathematical Society
5 Geometric and Functional Analysis. GAFA
5 Annales Henri Poincaré
5 Science China. Mathematics
4 Applicable Analysis
4 Mathematische Zeitschrift
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 Potential Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 The Journal of Fourier Analysis and Applications
4 Journal of Mathematical Fluid Mechanics
4 Forum of Mathematics, Pi
3 Mathematical Methods in the Applied Sciences
3 Applied Mathematics and Computation
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 Boundary Value Problems
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Spectral Theory
3 Forum of Mathematics, Sigma
2 Israel Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Probability
2 Applied Mathematics and Optimization
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Nagoya Mathematical Journal
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 Mediterranean Journal of Mathematics
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 Mathematical Control and Related Fields
2 Evolution Equations and Control Theory
2 Annals of PDE
2 Journal de l’École Polytechnique – Mathématiques
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 Transactions of the American Mathematical Society. Series B
1 Analysis Mathematica
...and 66 more Serials
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Cited in 42 Fields

897 Partial differential equations (35-XX)
132 Fluid mechanics (76-XX)
125 Dynamical systems and ergodic theory (37-XX)
101 Global analysis, analysis on manifolds (58-XX)
62 Quantum theory (81-XX)
61 Probability theory and stochastic processes (60-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
33 Operator theory (47-XX)
29 Statistical mechanics, structure of matter (82-XX)
28 Systems theory; control (93-XX)
24 Numerical analysis (65-XX)
23 Functional analysis (46-XX)
14 Differential geometry (53-XX)
13 Number theory (11-XX)
12 Optics, electromagnetic theory (78-XX)
11 Measure and integration (28-XX)
11 Special functions (33-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 Topological groups, Lie groups (22-XX)
7 Mechanics of deformable solids (74-XX)
6 Ordinary differential equations (34-XX)
6 Mechanics of particles and systems (70-XX)
5 Real functions (26-XX)
5 Abstract harmonic analysis (43-XX)
5 Integral transforms, operational calculus (44-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 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