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Author ID: ponce.gustavo Recent zbMATH articles by "Ponce, Gustavo"
Published as: Ponce, Gustavo; Ponce, G.
Homepage: http://www.math.ucsb.edu/~ponce/
External Links: MGP · Wikidata · ResearchGate · GND
Documents Indexed: 121 Publications since 1983, including 2 Books
3 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 45 Co-Authors with 104 Joint Publications
1,258 Co-Co-Authors
all top 5

Serials

9 Communications in Mathematical Physics
8 Journal of Functional Analysis
8 Proceedings of the American Mathematical Society
8 Communications in Partial Differential Equations
7 Journal of Differential Equations
5 Duke Mathematical Journal
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Communications on Pure and Applied Mathematics
4 Mathematical Research Letters
4 Bulletin of the Brazilian Mathematical Society. New Series
3 Transactions of the American Mathematical Society
3 SIAM Journal on Mathematical Analysis
2 Advances in Mathematics
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Journal of the American Mathematical Society
2 Journal of Dynamics and Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications
2 Universitext
1 Acta Cientifica Venezolana
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Mathematische Annalen
1 Revista Matemática Iberoamericana
1 Differential and Integral Equations
1 IMRN. International Mathematics Research Notices
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Matemática Contemporânea
1 The Asian Journal of Mathematics
1 RIMS Kokyuroku
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Communications on Pure and Applied Analysis
1 RIMS Kôkyûroku Bessatsu
1 São Paulo Journal of Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 5,300 times in 3,063 Documents Cited by Year
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
840
1988
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Zbl 0808.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
591
1993
A bilinear estimate with applications to the KdV equation. Zbl 0848.35114
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
343
1996
Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
311
1991
Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
293
1991
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices. Zbl 0787.35090
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
175
1993
On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
160
2001
Global existence of small solutions to a class of nonlinear evolution equations. Zbl 0576.35023
Ponce, Gustavo
157
1985
Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Zbl 1142.35078
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo; Zhou, Yong
150
2007
Global, small amplitude solutions to nonlinear evolution equations. Zbl 0509.35009
Klainerman, S.; Ponce, Gustavo
123
1983
Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
113
1993
Introduction to nonlinear dispersive equations. Zbl 1178.35004
Linares, Felipe; Ponce, Gustavo
91
2009
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
79
1998
On the global well-posedness of the Benjamin-Ono equation. Zbl 0732.35038
Ponce, Gustavo
75
1991
On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
71
1989
Introduction to nonlinear dispersive equations. 2nd ed. Zbl 1310.35002
Linares, Felipe; Ponce, Gustavo
69
2015
Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
63
1996
Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082
Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S.
62
1994
Higher-order nonlinear dispersive equations. Zbl 0810.35122
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
53
1994
The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
51
2004
On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
50
1995
On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
48
2007
Remarks on a paper by J. T. Beale, T. Kato, and A. Majda (Remarks on the breakdown of smooth solutions for the 3-dimensional Euler equations). Zbl 0589.76040
Ponce, Gustavo
43
1985
Interaction equations for short and long dispersive waves. Zbl 0909.35123
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
42
1998
Lax pairs and higher order models for water waves. Zbl 0796.35148
Ponce, Gustavo
40
1993
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
40
1996
On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
39
2006
Local regularity of nonlinear wave equations in three space dimensions. Zbl 0803.35096
Ponce, Gustavo; Sideris, Thomas C.
39
1993
On the generalized Benjamin-Ono equation. Zbl 0804.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
36
1994
On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
36
2003
Non-uniform continuity in \(H^1\) of the solution map of the CH equation. Zbl 1127.35056
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo
34
2007
On the persistent properties of solutions to semi-linear Schrödinger equation. Zbl 1228.35229
Nahas, J.; Ponce, G.
34
2009
On the Davey-Stewartson systems. Zbl 0807.35136
Linares, Felipe; Ponce, Gustavo
33
1993
Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018
Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis
32
2008
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. Zbl 1205.35249
Fonseca, Germán; Ponce, Gustavo
31
2011
Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0615.35078
Kato, Tosio; Ponce, Gustavo
30
1987
The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008
Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
30
2010
On the support of solutions to the generalized KdV equation. Zbl 1001.35106
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
28
2002
A model system for strong interaction between internal solitary waves. Zbl 0752.35056
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M.
27
1992
On the decay properties of solutions to a class of Schrödinger equations. Zbl 1185.35252
Dawson, L.; McGahagan, H.; Ponce, G.
25
2008
Global well-posedness for semilinear wave equations. Zbl 0961.35092
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
24
2000
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
23
2014
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. II. Zbl 1235.35243
Fonseca, Germán; Linares, Felipe; Ponce, Gustavo
22
2012
The Hardy uncertainty principle revisited. Zbl 1242.35017
Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
22
2010
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
22
2000
Nonlinear small data scattering for the generalized Korteweg-de Vries equation. Zbl 0771.35062
Ponce, Gustavo; Vega, Luis
21
1990
Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
21
2012
Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions. Zbl 0884.35138
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
21
1997
Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
21
2008
On the concentration of blow up solutions for the generalized KdV equation critical in \(L^2\). Zbl 0970.35125
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
21
2000
Regularity of solutions to nonlinear dispersive equations. Zbl 0699.35036
Ponce, Gustavo
20
1989
Global well-posedness for the modified Korteweg-de Vries equation. Zbl 0930.35154
Fonseca, German; Linares, Felipe; Ponce, Gustavo
20
1999
The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces. Zbl 06295441
Fonseca, Germán; Linares, Felipe; Ponce, Gustavo
20
2013
On the unique continuation of solutions to the generalized KdV equation. Zbl 1055.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
19
2003
On the propagation of regularity and decay of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1326.35317
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
17
2015
Variable coefficient Schrödinger flows for ultrahyperbolic operators. Zbl 1088.35065
Kenig, C. E.; Ponce, G.; Rolvung, C.; Vega, L.
16
2005
On the hierarchy of the generalized KdV equations. Zbl 0849.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
15
1994
Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves. Zbl 1219.35203
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
15
2011
On the well-posedness of Benney’s interaction equation of short and long waves. Zbl 0861.35104
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
14
1996
On the interaction of nearly parallel vortex filaments. Zbl 1073.76014
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
14
2003
Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096
Ponce, Gustavo; Saut, Jean-Claude
14
2005
On the propagation of regularities in solutions of the Benjamin-Ono equation. Zbl 1329.35268
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
14
2016
Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
13
2011
On nonstationary flows of viscous and ideal fluids in \(L^ p_ s({\mathbb{R}}^ 2)\). Zbl 0649.76011
Kato, Tosio; Ponce, Gustavo
13
1987
Global existence for the critical generalized KdV equation. Zbl 1034.35121
Fonseca, G.; Linares, F.; Ponce, G.
12
2003
On the IVP for the nonlinear Schrödinger equations. Zbl 0846.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
12
1995
The local ill-posedness of the modified KdV equation. Zbl 0858.35130
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils
12
1996
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
11
1994
On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces. Zbl 1236.35169
Nahas, J.; Ponce, G.
11
2011
Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339
Kenig, C. E.; Ponce, G.; Vega, L.
11
2020
Decay properties for solutions of fifth order nonlinear dispersive equations. Zbl 1303.35091
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
11
2015
On persistence properties in fractional weighted spaces. Zbl 1328.35198
Fonseca, G.; Linares, F.; Ponce, G.
11
2015
Breathers and the dynamics of solutions in KdV type equations. Zbl 1427.76044
Muñoz, Claudio; Ponce, Gustavo
11
2019
On decay properties of solutions of the \(k\)-generalized KdV equation. Zbl 1284.35373
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
9
2013
Well-posedness for a higher-order Benjamin-Ono equation. Zbl 1205.35261
Linares, Felipe; Pilod, Didier; Ponce, Gustavo
9
2011
On the propagation of regularity of solutions of the Kadomtsev-Petviashvili equation. Zbl 1346.35181
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
9
2016
Decay at infinity of caloric functions within characteristic hyperplanes. Zbl 1116.35018
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
8
2006
Global existence of small solutions to the initial value problem for nonlinear thermoelasticity. Zbl 0725.35065
Ponce, Gustavo; Racke, Reinhard
8
1990
On the regularity of solutions to a class of nonlinear dispersive equations. Zbl 1375.35452
Linares, Felipe; Ponce, Gustavo; Smith, Derek L.
8
2017
The general quasilinear ultrahyperbolic Schrödinger equation. Zbl 1122.35137
Kenig, Carlos E.; Ponce, Gustavo; Rolvung, Christian; Vega, Luis
7
2006
Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
7
2016
On special regularity properties of solutions of the Zakharov-Kuznetsov equation. Zbl 1397.35259
Linares, Felipe; Ponce, Gustavo
7
2018
On the asymptotic behavior of solutions to the Benjamin-Ono equation. Zbl 1428.37069
Muñoz, Claudio; Ponce, Gustavo
7
2019
Global solutions for the KdV equation with unbounded data. Zbl 0886.35133
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
6
1997
On the initial value problem for the Ishimori system. Zbl 1021.35105
Kenig, C. E.; Ponce, Gustavo; Vega, Luis
6
2000
Smoothing properties of solutions to the Benjamin-Ono equation. Zbl 0704.35058
Ponce, Gustavo
5
1990
On the Cauchy problem for linear Schrödinger systems with variable coefficient lower order terms. Zbl 0908.35026
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
5
1997
On a class of solutions to the generalized derivative Schrödinger equations. II. Zbl 1428.35524
Linares, F.; Ponce, G.; Santos, G. N.
5
2019
A theorem of Paley-Wiener type for Schrödinger evolutions. (Un théorème de type Paley-Wiener pour les évolutions de Schrödinger.) Zbl 1308.35274
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
5
2014
On the regularity of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1394.35420
Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L.
5
2018
On the initial value problem for the one dimensional quasi-linear Schrödinger equations. Zbl 1013.35076
Lim, Wee Keong; Ponce, Gustavo
4
2002
On a degenerate Zakharov system. Zbl 1070.35087
Linares, F.; Ponce, G.; Saut, J.-C.
4
2005
On a class of solutions to the generalized derivative Schrödinger equations. Zbl 1420.35365
Linares, Felipe; Ponce, Gustavo; Santos, Gleison N.
4
2019
Unique continuation properties for solutions to the Camassa-Holm equation and related models. Zbl 1446.35162
Linares, Felipe; Ponce, Gustavo
4
2020
Lower bounds for non-trivial travelling wave solutions of equations of KdV type. Zbl 1248.35185
Kenig, C. E.; Ponce, G.; Vega, L.
3
2012
On two dimensional incompressible fluids. Zbl 0594.35077
Ponce, Gustavo
3
1986
The non-linear Schrödinger equation with a periodic \(\delta\)-interaction. Zbl 1274.76175
Pava, Jaime Angulo; Ponce, Gustavo
3
2013
The initial value problem for a class of nonlinear dispersive equations. Zbl 0719.35086
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
3
1990
On a class of solutions to the generalized KdV type equation. Zbl 1428.35456
Linares, Felipe; Miyazaki, Hayato; Ponce, Gustavo
3
2019
Properties of solutions to the Camassa-Holm equation on the line in a class containing the peakons. Zbl 1435.35330
Linares, Felipe; Ponce, Gustavo; Sideris, Thomas C.
3
2019
On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
3
2021
Asymptotic behavior of solutions of the dispersion generalized Benjamin-Ono equation. Zbl 1484.35329
Linares, F.; Mendez, A.; Ponce, G.
2
2021
Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339
Kenig, C. E.; Ponce, G.; Vega, L.
11
2020
Unique continuation properties for solutions to the Camassa-Holm equation and related models. Zbl 1446.35162
Linares, Felipe; Ponce, Gustavo
4
2020
On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164
Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L.
1
2020
Breathers and the dynamics of solutions in KdV type equations. Zbl 1427.76044
Muñoz, Claudio; Ponce, Gustavo
11
2019
On the asymptotic behavior of solutions to the Benjamin-Ono equation. Zbl 1428.37069
Muñoz, Claudio; Ponce, Gustavo
7
2019
On a class of solutions to the generalized derivative Schrödinger equations. II. Zbl 1428.35524
Linares, F.; Ponce, G.; Santos, G. N.
5
2019
On a class of solutions to the generalized derivative Schrödinger equations. Zbl 1420.35365
Linares, Felipe; Ponce, Gustavo; Santos, Gleison N.
4
2019
On a class of solutions to the generalized KdV type equation. Zbl 1428.35456
Linares, Felipe; Miyazaki, Hayato; Ponce, Gustavo
3
2019
Properties of solutions to the Camassa-Holm equation on the line in a class containing the peakons. Zbl 1435.35330
Linares, Felipe; Ponce, Gustavo; Sideris, Thomas C.
3
2019
On special regularity properties of solutions of the Zakharov-Kuznetsov equation. Zbl 1397.35259
Linares, Felipe; Ponce, Gustavo
7
2018
On the regularity of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1394.35420
Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L.
5
2018
On the regularity of solutions to a class of nonlinear dispersive equations. Zbl 1375.35452
Linares, Felipe; Ponce, Gustavo; Smith, Derek L.
8
2017
On the propagation of regularities in solutions of the Benjamin-Ono equation. Zbl 1329.35268
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
14
2016
On the propagation of regularity of solutions of the Kadomtsev-Petviashvili equation. Zbl 1346.35181
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
9
2016
Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
7
2016
On the IVP for the \(k\)-generalized Benjamin-Ono equation. Zbl 1403.35087
Ponce, Gustavo
2
2016
Proceedings of the XV international conference on hyperbolic problems: theory, numerics, applications. Zbl 1354.00090
1
2016
Introduction to nonlinear dispersive equations. 2nd ed. Zbl 1310.35002
Linares, Felipe; Ponce, Gustavo
69
2015
On the propagation of regularity and decay of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1326.35317
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
17
2015
Decay properties for solutions of fifth order nonlinear dispersive equations. Zbl 1303.35091
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
11
2015
On persistence properties in fractional weighted spaces. Zbl 1328.35198
Fonseca, G.; Linares, F.; Ponce, G.
11
2015
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
23
2014
A theorem of Paley-Wiener type for Schrödinger evolutions. (Un théorème de type Paley-Wiener pour les évolutions de Schrödinger.) Zbl 1308.35274
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
5
2014
The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces. Zbl 06295441
Fonseca, Germán; Linares, Felipe; Ponce, Gustavo
20
2013
On decay properties of solutions of the \(k\)-generalized KdV equation. Zbl 1284.35373
Isaza, Pedro; Linares, Felipe; Ponce, Gustavo
9
2013
The non-linear Schrödinger equation with a periodic \(\delta\)-interaction. Zbl 1274.76175
Pava, Jaime Angulo; Ponce, Gustavo
3
2013
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. II. Zbl 1235.35243
Fonseca, Germán; Linares, Felipe; Ponce, Gustavo
22
2012
Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
21
2012
Lower bounds for non-trivial travelling wave solutions of equations of KdV type. Zbl 1248.35185
Kenig, C. E.; Ponce, G.; Vega, L.
3
2012
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. Zbl 1205.35249
Fonseca, Germán; Ponce, Gustavo
31
2011
Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves. Zbl 1219.35203
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
15
2011
Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
13
2011
On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces. Zbl 1236.35169
Nahas, J.; Ponce, G.
11
2011
Well-posedness for a higher-order Benjamin-Ono equation. Zbl 1205.35261
Linares, Felipe; Pilod, Didier; Ponce, Gustavo
9
2011
The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008
Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
30
2010
The Hardy uncertainty principle revisited. Zbl 1242.35017
Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
22
2010
Introduction to nonlinear dispersive equations. Zbl 1178.35004
Linares, Felipe; Ponce, Gustavo
91
2009
On the persistent properties of solutions to semi-linear Schrödinger equation. Zbl 1228.35229
Nahas, J.; Ponce, G.
34
2009
Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018
Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis
32
2008
On the decay properties of solutions to a class of Schrödinger equations. Zbl 1185.35252
Dawson, L.; McGahagan, H.; Ponce, G.
25
2008
Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
21
2008
Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Zbl 1142.35078
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo; Zhou, Yong
150
2007
On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
48
2007
Non-uniform continuity in \(H^1\) of the solution map of the CH equation. Zbl 1127.35056
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo
34
2007
The initial value problem for the general quasi-linear Schrödinger equation. Zbl 1137.35069
Kenig, C. E.; Ponce, G.; Vega, L.
1
2007
On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
39
2006
Decay at infinity of caloric functions within characteristic hyperplanes. Zbl 1116.35018
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
8
2006
The general quasilinear ultrahyperbolic Schrödinger equation. Zbl 1122.35137
Kenig, Carlos E.; Ponce, Gustavo; Rolvung, Christian; Vega, Luis
7
2006
On the stability of nearly parallel vortex filaments. Zbl 1102.76012
Ponce, Gustavo
1
2006
Variable coefficient Schrödinger flows for ultrahyperbolic operators. Zbl 1088.35065
Kenig, C. E.; Ponce, G.; Rolvung, C.; Vega, L.
16
2005
Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096
Ponce, Gustavo; Saut, Jean-Claude
14
2005
On a degenerate Zakharov system. Zbl 1070.35087
Linares, F.; Ponce, G.; Saut, J.-C.
4
2005
The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
51
2004
On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
36
2003
On the unique continuation of solutions to the generalized KdV equation. Zbl 1055.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
19
2003
On the interaction of nearly parallel vortex filaments. Zbl 1073.76014
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
14
2003
Global existence for the critical generalized KdV equation. Zbl 1034.35121
Fonseca, G.; Linares, F.; Ponce, G.
12
2003
On the uniqueness of solutions of higher order nonlinear dispersive equations. Zbl 1050.35100
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
2
2003
On the support of solutions to the generalized KdV equation. Zbl 1001.35106
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
28
2002
On the initial value problem for the one dimensional quasi-linear Schrödinger equations. Zbl 1013.35076
Lim, Wee Keong; Ponce, Gustavo
4
2002
On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
160
2001
Global well-posedness for semilinear wave equations. Zbl 0961.35092
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
24
2000
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
22
2000
On the concentration of blow up solutions for the generalized KdV equation critical in \(L^2\). Zbl 0970.35125
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
21
2000
On the initial value problem for the Ishimori system. Zbl 1021.35105
Kenig, C. E.; Ponce, Gustavo; Vega, Luis
6
2000
Tosio Kato (1917–1999). Zbl 1036.01507
Cordes, Heinz; Jensen, Arne; Kuroda, S. T.; Ponce, Gustavo; Simon, Barry
1
2000
Global well-posedness for the modified Korteweg-de Vries equation. Zbl 0930.35154
Fonseca, German; Linares, Felipe; Ponce, Gustavo
20
1999
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
79
1998
Interaction equations for short and long dispersive waves. Zbl 0909.35123
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
42
1998
On nonlinear dispersive equations. Zbl 0920.35138
Ponce, Gustavo
1
1998
Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions. Zbl 0884.35138
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
21
1997
Global solutions for the KdV equation with unbounded data. Zbl 0886.35133
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
6
1997
On the Cauchy problem for linear Schrödinger systems with variable coefficient lower order terms. Zbl 0908.35026
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
5
1997
On the smoothing properties of some dispersive hyperbolic systems. Zbl 0887.35027
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
1
1997
On the well posedness of some nonlinear evolution equations. Zbl 0899.35042
Ponce, Gustavo
1
1997
A bilinear estimate with applications to the KdV equation. Zbl 0848.35114
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
343
1996
Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
63
1996
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
40
1996
On the well-posedness of Benney’s interaction equation of short and long waves. Zbl 0861.35104
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
14
1996
The local ill-posedness of the modified KdV equation. Zbl 0858.35130
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils
12
1996
On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
50
1995
On the IVP for the nonlinear Schrödinger equations. Zbl 0846.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
12
1995
Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082
Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S.
62
1994
Higher-order nonlinear dispersive equations. Zbl 0810.35122
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
53
1994
On the generalized Benjamin-Ono equation. Zbl 0804.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
36
1994
On the hierarchy of the generalized KdV equations. Zbl 0849.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
15
1994
The Navier-Stokes equation with weak initial data. Zbl 0837.35116
Kato, Tosio; Ponce, Gustavo
11
1994
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Zbl 0808.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
591
1993
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices. Zbl 0787.35090
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
175
1993
Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
113
1993
Lax pairs and higher order models for water waves. Zbl 0796.35148
Ponce, Gustavo
40
1993
Local regularity of nonlinear wave equations in three space dimensions. Zbl 0803.35096
Ponce, Gustavo; Sideris, Thomas C.
39
1993
On the Davey-Stewartson systems. Zbl 0807.35136
Linares, Felipe; Ponce, Gustavo
33
1993
A model system for strong interaction between internal solitary waves. Zbl 0752.35056
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M.
27
1992
Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
311
1991
Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
293
1991
On the global well-posedness of the Benjamin-Ono equation. Zbl 0732.35038
Ponce, Gustavo
75
1991
Nonlinear small data scattering for the generalized Korteweg-de Vries equation. Zbl 0771.35062
Ponce, Gustavo; Vega, Luis
21
1990
...and 13 more Documents
all top 5

Cited by 2,340 Authors

67 Ponce, Gustavo
59 Guo, Boling
51 Kenig, Carlos Eduardo
49 Fan, Jishan
48 Vega, Luis
45 Linares, Felipe
45 Zhou, Yong
41 Himonas, A. Alexandrou
36 Hayashi, Nakao
33 Yin, Zhaoyang
30 Liu, Yue
29 Li, Yongsheng
29 Yan, Wei
29 Zhu, Mingxuan
28 Ozawa, Tohru
27 Naumkin, Pavel Ivanovich
26 Zhang, Bingyu
23 Guo, Zhengguang
23 Martel, Yvan
23 Saut, Jean-Claude
22 Carvajal, Xavier Paredes
22 Cui, Shangbin
22 Panthee, Mahendra
22 Wang, Baoxiang
21 Esfahani, Amin
21 Molinet, Luc
21 Pastor, Ademir
21 Pu, Xueke
21 Tataru, Daniel
21 Zhou, Shouming
19 Ikehata, Ryo
19 Jiang, Zaihong
19 Muñoz, Claudio
18 Lai, Shaoyong
18 Merle, Frank
18 Mu, Chunlai
18 Tzvetkov, Nikolay
17 Bona, Jerry Lloyd
17 Huo, Zhaohui
17 Lar’kin, Nikolaj Andreevich
17 Wu, Jiahong
16 Guo, Zihua
16 Huang, Jianhua
16 Isaza, Pedro
16 Staffilani, Gigliola
16 Tian, Lixin
16 Wan, Renhui
16 Yamazaki, Kazuo
15 Miao, Changxing
14 Dong, Boqing
14 Farah, Luiz Gustavo
14 Mejía, Jorge
14 Mi, Yongsheng
14 Nakamura, Gen
14 Pilod, Didier
14 Segata, Jun-ichi
14 Yuan, Baoquan
13 Chae, Dongho
13 Oh, Tadahiro
13 Pazoto, Ademir Fernando
13 Selberg, Sigmund
13 Wang, Chengbo
13 Wang, Ming
13 Ye, Zhuan
12 Alejo, Miguel A.
12 Gao, Hongjun
12 Kaikina, Elena Igorevna
12 Liu, Qiao
12 Metcalfe, Jason L.
12 Zhao, Jihong
12 Zhao, Xiaopeng
11 Angulo Pava, Jaime
11 Chen, Wengu
11 Chen, Zhimin
11 Fu, Ying
11 Ma, Caochuan
11 Petronilho, Gerson
11 Sun, Shuming
11 Tao, Terence
11 Tsutsumi, Yoshio
11 Wang, Yuzhao
11 Xu, Xiaojing
10 Banica, Valeria
10 Corcho, Adán J.
10 Hayat, Tasawar
10 Jia, Yueling
10 Jin, Liangbing
10 Kappeler, Thomas
10 Klainerman, Sergiu
10 Kwak, Chulkwang
10 Li, Junfeng
10 Mantzavinos, Dionyssios
10 Ogawa, Takayoshi
10 Scialom, Marcia
10 Yao, Zhengan
9 Al-saedi, Ahmed Eid Salem
9 Bustamante, Eddye
9 Chen, Jiecheng
9 Colliander, James E.
9 Faminskii, Andrei V.
...and 2,240 more Authors
all top 5

Cited in 296 Serials

254 Journal of Differential Equations
204 Journal of Mathematical Analysis and Applications
181 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
104 Communications in Partial Differential Equations
97 Journal of Functional Analysis
84 Journal of Mathematical Physics
71 Discrete and Continuous Dynamical Systems
70 Nonlinear Analysis. Real World Applications
63 Communications in Mathematical Physics
52 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
50 SIAM Journal on Mathematical Analysis
49 Communications on Pure and Applied Analysis
48 ZAMP. Zeitschrift für angewandte Mathematik und Physik
47 Transactions of the American Mathematical Society
46 Advances in Mathematics
46 Proceedings of the American Mathematical Society
42 Archive for Rational Mechanics and Analysis
41 Applied Mathematics Letters
39 Journal of Evolution Equations
37 Applicable Analysis
31 Journal of Mathematical Fluid Mechanics
30 Mathematical Methods in the Applied Sciences
30 NoDEA. Nonlinear Differential Equations and Applications
29 Nonlinearity
28 Acta Mathematica Sinica. English Series
27 Duke Mathematical Journal
27 Journal de Mathématiques Pures et Appliquées. Neuvième Série
27 Abstract and Applied Analysis
26 Monatshefte für Mathematik
26 Journal of Nonlinear Science
25 Applied Mathematics and Computation
25 Physica D
25 The Journal of Fourier Analysis and Applications
23 Nonlinear Analysis. Theory, Methods & Applications
22 Journal d’Analyse Mathématique
22 Mathematische Annalen
22 Boundary Value Problems
21 Communications in Contemporary Mathematics
21 Journal of Hyperbolic Differential Equations
19 Journal of Dynamics and Differential Equations
18 Computers & Mathematics with Applications
17 Discrete and Continuous Dynamical Systems. Series B
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Acta Applicandae Mathematicae
16 Calculus of Variations and Partial Differential Equations
14 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
14 Discrete and Continuous Dynamical Systems. Series S
13 Journal of the American Mathematical Society
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Revista Matemática Iberoamericana
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Journal of Inequalities and Applications
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Forum Mathematicum
10 Communications on Pure and Applied Mathematics
10 Applied Mathematics and Optimization
10 Quarterly of Applied Mathematics
10 Acta Mathematicae Applicatae Sinica. English Series
10 Séminaire Laurent Schwartz. EDP et Applications
9 Mathematische Zeitschrift
9 Chinese Annals of Mathematics. Series B
9 Bulletin of the Brazilian Mathematical Society. New Series
9 Advances in Mathematical Physics
9 Science China. Mathematics
8 Annales de l’Institut Fourier
8 Inventiones Mathematicae
8 Mathematische Nachrichten
8 Zeitschrift für Analysis und ihre Anwendungen
8 The Journal of Geometric Analysis
8 Mathematical Physics, Analysis and Geometry
8 Journal of the European Mathematical Society (JEMS)
8 Journal of Pseudo-Differential Operators and Applications
8 Analysis and Mathematical Physics
8 AIMS Mathematics
7 Acta Mathematica
7 Indiana University Mathematics Journal
7 Osaka Journal of Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Annals of Mathematics. Second Series
7 Annales Henri Poincaré
7 Journal of Nonlinear Mathematical Physics
6 Letters in Mathematical Physics
6 Journal of Computational and Applied Mathematics
6 Proceedings of the Japan Academy. Series A
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Geometric and Functional Analysis. GAFA
6 Applied and Computational Harmonic Analysis
6 Electronic Journal of Differential Equations (EJDE)
6 São Paulo Journal of Mathematical Sciences
6 Mathematical Control and Related Fields
5 Journal of Computational Physics
5 Mathematics of Computation
5 Bulletin of the Korean Mathematical Society
5 Asymptotic Analysis
5 Potential Analysis
5 Physics of Fluids
5 Discrete Dynamics in Nature and Society
5 Communications in Nonlinear Science and Numerical Simulation
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Frontiers of Mathematics in China
...and 196 more Serials
all top 5

Cited in 48 Fields

2,902 Partial differential equations (35-XX)
862 Fluid mechanics (76-XX)
277 Dynamical systems and ergodic theory (37-XX)
176 Harmonic analysis on Euclidean spaces (42-XX)
101 Quantum theory (81-XX)
99 Numerical analysis (65-XX)
88 Operator theory (47-XX)
83 Functional analysis (46-XX)
74 Probability theory and stochastic processes (60-XX)
69 Real functions (26-XX)
65 Statistical mechanics, structure of matter (82-XX)
61 Systems theory; control (93-XX)
54 Global analysis, analysis on manifolds (58-XX)
52 Geophysics (86-XX)
45 Mechanics of deformable solids (74-XX)
45 Optics, electromagnetic theory (78-XX)
33 Ordinary differential equations (34-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
23 Differential geometry (53-XX)
20 Biology and other natural sciences (92-XX)
15 Relativity and gravitational theory (83-XX)
14 Abstract harmonic analysis (43-XX)
13 Integral transforms, operational calculus (44-XX)
12 Functions of a complex variable (30-XX)
12 Integral equations (45-XX)
11 Potential theory (31-XX)
10 Topological groups, Lie groups (22-XX)
10 Mechanics of particles and systems (70-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Special functions (33-XX)
8 Difference and functional equations (39-XX)
5 Approximations and expansions (41-XX)
4 History and biography (01-XX)
4 Nonassociative rings and algebras (17-XX)
4 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Computer science (68-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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