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Author ID: vega.luis Recent zbMATH articles by "Vega, Luis"
Published as: Vega, Luis; Vega, L.
Homepage: https://www.ehu.eus/luisvega/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · GND · IdRef · theses.fr
all top 5

Co-Authors

9 single-authored
52 Ponce, Gustavo
49 Kenig, Carlos Eduardo
14 Banica, Valeria
14 Escauriaza Zubiria, Luis
11 Visciglia, Nicola
10 Fanelli, Luca
9 Ruiz, Alberto
8 de la Hoz, Francisco
6 Arrizabalaga, Naiara
5 Duoandikoetxea, Javier
5 Vargas, Ana M.
4 Barceló, Juan Antonio
4 Kumar, Sandeep
4 Mas, Albert
4 Perthame, Benoît
3 Côte, Raphaël
3 Gutiérrez, Susana
3 Krejčiřík, David
3 Moyua, Adela
2 Alejo, Miguel A.
2 Bastero, Jesús
2 Correia, Simão
2 Dolbeault, Jean
2 Esteban, Maria J.
2 Fontelos López, Marco Antonio
2 Jabin, Pierre-Emmanuel
2 Linares, Felipe
2 Merle, Frank
2 Nahmod, Andrea R.
2 Planchon, Fabrice
2 Ponce-Vanegas, Felipe E.
2 Rolvung, Christian
2 Roncal, Luz
2 Vilela, Mari Cruz
1 Agirre, Mikel
1 Angulo Pava, Jaime
1 Beltran, David
1 Birnir, Bjorn
1 Blasco, Oscar
1 Bona, Jerry Lloyd
1 Bravin, Marco
1 Carbery, Anthony
1 Cassano, Biagio
1 Cazenave, Thierry
1 Cowling, Michael G.
1 D’Ancona, Piero
1 Eceizabarrena, Daniel
1 Escobedo Martínez, Miguel
1 Fernández-Bertolin, Aingeru
1 García-Cervera, Carlos J.
1 Garcia, Claudia I.
1 Garciadiego, Alejandro R.
1 Goldberg, Michael Joseph
1 Gorria, Carlos
1 Grünrock, Axel
1 Hoàng Xuân Phù
1 Holden, Helge
1 Iakunin, Sergei
1 Laptev, Ari
1 Loss, Michael
1 Luca, Renato
1 Muñoz, Claudio
1 Ourmiéres-Bonafos, Thomas
1 Perelman, Galina
1 Pilod, Didier
1 Pizzichillo, Fabio
1 Rivas, Judith
1 Rodríguez-Consuegra, Francisco A.
1 Rogers, Keith McKenzie
1 Rubio de Francia, José Luis
1 Sanz-Perela, Tomás
1 Shatah, Jalal
1 Sideris, Thomas C.
1 Stan, Diana
1 Svanstedt, Nils E. M.
1 Tao, Terence
1 Tzvetkov, Nikolay
1 Zeng, Chongchun
1 Zubeldia, Miren
all top 5

Serials

12 Journal of Functional Analysis
8 Communications in Mathematical Physics
7 IMRN. International Mathematics Research Notices
7 Communications in Partial Differential Equations
6 Duke Mathematical Journal
6 Indiana University Mathematics Journal
6 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
4 Advances in Mathematics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of the London Mathematical Society. Second Series
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Nonlinear Science
4 Mathematical Research Letters
3 Nonlinearity
3 Journal of the American Mathematical Society
3 Publicacions Matemàtiques
3 SIAM Journal on Mathematical Analysis
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Bulletin of the London Mathematical Society
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Mathematische Annalen
2 SIAM Journal on Applied Mathematics
2 Revista Matemática Complutense
2 Journal of the European Mathematical Society (JEMS)
2 La Gaceta de la Real Sociedad Matemática Española
2 Communications on Pure and Applied Analysis
1 Journal of Computational Physics
1 Annales de l’Institut Fourier
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Acta Applicandae Mathematicae
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 São Paulo Journal of Mathematical Sciences
1 Journal of Spectral Theory
1 Annals of PDE
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys

Publications by Year

Citations contained in zbMATH Open

145 Publications have been cited 5,648 times in 3,021 Documents Cited by Year
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
701
1993
A bilinear estimate with applications to the KdV equation. Zbl 0848.35114
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
396
1996
Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
377
1991
Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
366
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
197
1993
On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
192
2001
Schrödinger equations: Pointwise convergence to the initial data. Zbl 0654.42014
Vega, Luis
186
1988
Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
126
1993
A bilinear approach to the restriction and Kakeya conjectures. Zbl 0924.42008
Tao, Terence; Vargas, Ana; Vega, Luis
118
1998
Compactness at blow-up time for \(L^2\) solutions of the critical nonlinear Schrödinger equation in 2D. Zbl 0913.35126
Merle, F.; Vega, L.
99
1998
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
91
1998
On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
85
1989
Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
72
1996
Bilinear virial identities and applications. Zbl 1192.35166
Planchon, Fabrice; Vega, Luis
69
2009
Schrödinger maximal function and restriction properties of the Fourier transform. Zbl 0868.35024
Moyua, A.; Vargas, A.; Vega, L.
69
1996
Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\). Zbl 0946.42011
Moyua, A.; Vargas, A.; Vega, L.
67
1999
Non interpolation in Morrey-Campanato and block spaces. Zbl 0955.46013
Blasco, Oscar; Ruiz, Alberto; Vega, Luis
66
1999
The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
65
2004
Higher-order nonlinear dispersive equations. Zbl 0810.35122
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
60
1994
On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
58
1995
Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048
Perthame, Benoit; Vega, Luis
57
1999
On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
55
2007
Endpoint Strichartz estimates for the magnetic Schrödinger equation. Zbl 1188.81061
D’Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola
49
2010
On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
49
2006
Shell interactions for Dirac operators. Zbl 1297.81083
Arrizabalaga, Naiara; Mas, Albert; Vega, Luis
48
2014
A semilinear Dirac equation in \(H^ s(\mathbb{R}^ 3)\) for \(s>1\). Zbl 0877.35028
Escobedo, M.; Vega, L.
48
1997
Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite \(L^2\) norm. Zbl 1027.35134
Vargas, Ana; Vega, Luis
47
2001
Formation of singularities and self-similar vortex motion under the localized induction approximation. Zbl 1044.35089
Gutiérrez, Susana; Rivas, Judith; Vega, Luis
47
2003
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
43
1996
On the generalized Benjamin-Ono equation. Zbl 0804.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
43
1994
Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018
Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis
42
2008
The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008
Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
42
2010
On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
40
2003
On local regularity of Schrödinger equations. Zbl 0812.35016
Ruiz, Alberto; Vega, Luis
39
1993
Corrigenda to “Unique continuation for Schrödinger operators” and a remark on interpolation of Morrey spaces. Zbl 0849.47022
Ruiz, Alberto; Vega, Luis
36
1995
\(L^2\) stability of solitons for KdV equation. Zbl 1022.35061
Merle, F.; Vega, L.
36
2003
Weighted estimates for the Helmholtz equation and some applications. Zbl 0890.35028
Barcelo, J. A.; Ruiz, A.; Vega, L.
36
1997
A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions. Zbl 06918953
Ourmières-Bonafos, Thomas; Vega, Luis
36
2018
Almost-everywhere summability of Fourier integrals. Zbl 0631.42004
Carbery, Anthony; Rubio de Francia, José L.; Vega, Luis
35
1988
Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296
Fanelli, Luca; Krejčiřík, David; Vega, Luis
32
2018
Vortex filament equation for a regular polygon. Zbl 1339.35300
de la Hoz, Francisco; Vega, Luis
32
2014
On the support of solutions to the generalized KdV equation. Zbl 1001.35106
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
31
2002
Carleman inequalities and the heat operator. II. Zbl 1029.35046
Escauriaza, Luis; Vega, Luis
30
2001
Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026
Goldberg, Michael; Vega, Luis; Visciglia, Nicola
30
2006
Global well-posedness for semilinear wave equations. Zbl 0961.35092
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
29
2000
Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
29
2012
On the stability of a singular vortex dynamics. Zbl 1183.35029
Banica, V.; Vega, L.
28
2009
An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis
28
2004
Magnetic virial identities, weak dispersion and Strichartz inequalities. Zbl 1163.35005
Fanelli, Luca; Vega, Luis
28
2009
Shell interactions for Dirac operators: on the point spectrum and the confinement. Zbl 1314.81083
Arrizabalaga, Naiara; Mas, Albert; Vega, Luis
28
2015
Local regularity of solutions to wave equations with time-dependent potentials. Zbl 0826.35014
Ruiz, Alberto; Vega, Luis
27
1994
Schrödinger maps and their associated frame systems. Zbl 1142.35087
Nahmod, Andrea; Shatah, Jalal; Vega, Luis; Zeng, Chongchun
27
2007
Scattering for 1D cubic NLS and singular vortex dynamics. Zbl 1290.35235
Banica, Valeria; Vega, Luis
26
2012
The Hardy uncertainty principle revisited. Zbl 1242.35017
Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
26
2010
Unique continuation for Schrödinger operators with potential in Morrey spaces. Zbl 0809.47046
Ruiz, Alberto; Vega, Luis
25
1991
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
25
2000
Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
24
2008
Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations. Zbl 1146.35020
Moyua, A.; Vega, L.
23
2008
A note on the nonlinear Schrödinger equation in weak \(L^p\) spaces. Zbl 0991.35084
Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz
22
2001
The initial value problem for the binormal flow with rough data. (Évolution par le flot binormal de courbes à un coin.) Zbl 1336.53073
Banica, Valeria; Vega, Luis
22
2015
The gardner equation and the \(L^2\)-stability of the \(N\)-soliton solution of the Korteweg-de Vries equation. Zbl 1278.35209
Alejo, Miguel A.; Muñoz, Claudio; Vega, Luis
22
2013
A real space method for averaging lemmas. Zbl 1082.35043
Jabin, Pierre-Emmanuel; Vega, Luis
21
2004
Nonlinear small data scattering for the generalized Korteweg-de Vries equation. Zbl 0771.35062
Ponce, Gustavo; Vega, Luis
21
1990
On the existence of maximizers for a family of restriction theorems. Zbl 1225.42012
Fanelli, Luca; Vega, Luis; Visciglia, Nicola
21
2011
Variable coefficient Schrödinger flows for ultrahyperbolic operators. Zbl 1088.35065
Kenig, C. E.; Ponce, G.; Rolvung, C.; Vega, L.
20
2005
On the unique continuation of solutions to the generalized KdV equation. Zbl 1055.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
20
2003
Local well-posedness for the modified KdV equation in almost critical \(\widehat {H^r_s}\)-spaces. Zbl 1182.35197
Grünrock, Axel; Vega, Luis
20
2009
Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184
Fanelli, Luca; Krejčiřík, David; Vega, Luis
20
2018
An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators. Zbl 1341.81023
Arrizabalaga, Naiara; Mas, Albert; Vega, Luis
20
2016
On the hierarchy of the generalized KdV equations. Zbl 0849.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
19
1994
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity. Zbl 1137.35020
Perthame, Benoit; Vega, Luis
19
2008
Pointwise convergence of solutions to the nonelliptic Schrödinger equation. Zbl 1124.35071
Rogers, Keith M.; Vargas, Ana; Vega, Luis
19
2006
Stability of the self-similar dynamics of a vortex filament. Zbl 1430.76089
Banica, Valeria; Vega, Luis
19
2013
Self-adjoint extensions of Dirac operators with Coulomb type singularity. Zbl 1281.81031
Arrizabalaga, Naiara; Duoandikoetxea, Javier; Vega, Luis
19
2013
On the interaction of nearly parallel vortex filaments. Zbl 1073.76014
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
17
2003
Some dispersive estimates for Schrödinger equations with repulsive potentials. Zbl 1293.35090
Barceló, Juan A.; Ruiz, Alberto; Vega, Luis
17
2006
Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339
Kenig, C. E.; Ponce, G.; Vega, L.
17
2020
Existence of maximizers for Sobolev-Strichartz inequalities. Zbl 1235.35012
Fanelli, Luca; Vega, Luis; Visciglia, Nicola
16
2012
Evolution of polygonal lines by the binormal flow. Zbl 1462.35279
Banica, Valeria; Vega, Luis
16
2020
Spherical means and weighted inequalities. Zbl 0853.42017
Duoandikoetxea, Javier; Vega, Luis
15
1996
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
Restriction theorems and the Schrödinger multiplier on the torus. Zbl 0791.42011
Vega, Luis
14
1992
Hardy-type estimates for Dirac operators. Zbl 1156.35067
Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis
14
2007
The general quasilinear ultrahyperbolic Schrödinger equation. Zbl 1122.35137
Kenig, Carlos E.; Ponce, Gustavo; Rolvung, Christian; Vega, Luis
14
2006
Stability in \(L^1\) of circular vortex patches. Zbl 1181.35201
Sideris, Thomas C.; Vega, Luis
13
2009
On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation. Zbl 1447.35263
de la Hoz, Francisco; Vega, Luis
13
2018
On the Dirac delta as initial condition for nonlinear Schrödinger equations. Zbl 1147.35092
Banica, V.; Vega, L.
13
2008
A numerical study of the self-similar solutions of the Schrödinger map. Zbl 1219.65139
de la Hoz, F.; García-Cervera, C. J.; Vega, L.
13
2009
Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
13
2011
On the IVP for the nonlinear Schrödinger equations. Zbl 0846.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
12
1995
The forward problem for the electromagnetic Helmholtz equation with critical singularities. Zbl 1284.35144
Barceló, Juan Antonio; Vega, Luis; Zubeldia, Miren
12
2013
Decay at infinity of caloric functions within characteristic hyperplanes. Zbl 1116.35018
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
11
2006
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.
11
2018
Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
11
2016
Self-similar solutions of the localized induction approximation: singularly formation. Zbl 1072.35152
Gutiérrez, Susana; Vega, Luis
10
2004
Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076
Perelman, Galina; Vega, L.
10
2007
A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator. Zbl 1436.81042
Cassano, Biagio; Pizzichillo, Fabio; Vega, Luis
10
2020
Discrete conservation laws and the convergence of long time simulations of the mKdV equation. Zbl 1291.65279
Gorria, C.; Alejo, M. A.; Vega, L.
9
2013
Some weighted Gagliardo-Nirenberg inequalities and applications. Zbl 1120.26009
Duoandikoetxea, Javier; Vega, Luis
9
2007
Uniqueness properties for discrete equations and Carleman estimates. Zbl 1372.35260
Fernández Bertolin, Aingeru; Vega, Luis
9
2017
Carleman type inequalities for fractional relativistic operators. Zbl 1509.35358
Roncal, Luz; Stan, Diana; Vega, Luis
1
2023
Eigenvalue curves for generalized MIT bag models. Zbl 1521.81060
Arrizabalaga, Naiara; Mas, Albert; Sanz-Perela, Tomás; Vega, Luis
1
2023
Riemann’s non-differentiable function and the binormal curvature flow. Zbl 1506.35153
Banica, Valeria; Vega, Luis
6
2022
Vortex filament equation for a regular polygon in the hyperbolic plane. Zbl 1483.35206
de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis
2
2022
On the one dimensional cubic NLS in a critical space. Zbl 1489.35250
Bravin, Marco; Vega, Luis
1
2022
Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow. Zbl 1510.35287
Banica, Valeria; Vega, Luis
1
2022
Self-similar dynamics for the modified Korteweg-de Vries equation. Zbl 1489.35235
Correia, Simão; Côte, Raphaël; Vega, Luis
1
2021
Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339
Kenig, C. E.; Ponce, G.; Vega, L.
17
2020
Evolution of polygonal lines by the binormal flow. Zbl 1462.35279
Banica, Valeria; Vega, Luis
16
2020
A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator. Zbl 1436.81042
Cassano, Biagio; Pizzichillo, Fabio; Vega, Luis
10
2020
On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011
Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis
8
2020
On the energy of critical solutions of the binormal flow. Zbl 1454.35273
Banica, Valeria; Vega, Luis
7
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.
6
2020
On the evolution of the vortex filament equation for regular \(M\)-polygons with nonzero torsion. Zbl 1434.65201
de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis
5
2020
Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation. Zbl 1437.35609
Correia, Simão; Côte, Raphaël; Vega, Luis
4
2020
Bilinear identities involving the \(k\)-plane transform and Fourier extension operators. Zbl 1459.42036
Beltran, David; Vega, Luis
3
2020
Some lower bounds for solutions of Schrödinger evolutions. Zbl 1419.35170
Agirre, Mikel; Vega, Luis
4
2019
A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions. Zbl 06918953
Ourmières-Bonafos, Thomas; Vega, Luis
36
2018
Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296
Fanelli, Luca; Krejčiřík, David; Vega, Luis
32
2018
Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184
Fanelli, Luca; Krejčiřík, David; Vega, Luis
20
2018
On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation. Zbl 1447.35263
de la Hoz, Francisco; Vega, Luis
13
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.
11
2018
Singularity formation for the 1-D cubic NLS and the Schrödinger map on \(\mathbb{S}^2\). Zbl 1393.35214
Banica, Valeria; Vega, Luis
7
2018
Erratum: “Self-adjoint extensions of Dirac operators with Coulomb type singularity” [J. Math. Phys. 54, 041504 (2013)]. Zbl 1394.81113
Arrizabalaga, Naiara; Duoandikoetxea, Javier; Vega, Luis
1
2018
Uniqueness properties for discrete equations and Carleman estimates. Zbl 1372.35260
Fernández Bertolin, Aingeru; Vega, Luis
9
2017
An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators. Zbl 1341.81023
Arrizabalaga, Naiara; Mas, Albert; Vega, Luis
20
2016
Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
11
2016
Shell interactions for Dirac operators: on the point spectrum and the confinement. Zbl 1314.81083
Arrizabalaga, Naiara; Mas, Albert; Vega, Luis
28
2015
The initial value problem for the binormal flow with rough data. (Évolution par le flot binormal de courbes à un coin.) Zbl 1336.53073
Banica, Valeria; Vega, Luis
22
2015
The dynamics of vortex filaments with corners. Zbl 1318.35110
Vega, Luis
8
2015
The vortex filament equation as a pseudorandom generator. Zbl 1320.35299
de la Hoz, Francisco; Vega, Luis
2
2015
Shell interactions for Dirac operators. Zbl 1297.81083
Arrizabalaga, Naiara; Mas, Albert; Vega, Luis
48
2014
Vortex filament equation for a regular polygon. Zbl 1339.35300
de la Hoz, Francisco; Vega, Luis
32
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
Relativistic Hardy inequalities in magnetic fields. Zbl 1291.35255
Fanelli, Luca; Vega, Luis; Visciglia, Nicola
2
2014
The gardner equation and the \(L^2\)-stability of the \(N\)-soliton solution of the Korteweg-de Vries equation. Zbl 1278.35209
Alejo, Miguel A.; Muñoz, Claudio; Vega, Luis
22
2013
Stability of the self-similar dynamics of a vortex filament. Zbl 1430.76089
Banica, Valeria; Vega, Luis
19
2013
Self-adjoint extensions of Dirac operators with Coulomb type singularity. Zbl 1281.81031
Arrizabalaga, Naiara; Duoandikoetxea, Javier; Vega, Luis
19
2013
The forward problem for the electromagnetic Helmholtz equation with critical singularities. Zbl 1284.35144
Barceló, Juan Antonio; Vega, Luis; Zubeldia, Miren
12
2013
Discrete conservation laws and the convergence of long time simulations of the mKdV equation. Zbl 1291.65279
Gorria, C.; Alejo, M. A.; Vega, L.
9
2013
On the stability of self-similar solutions of 1D cubic Schrödinger equations. Zbl 1264.35214
Gutierrez, S.; Vega, L.
5
2013
Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
29
2012
Scattering for 1D cubic NLS and singular vortex dynamics. Zbl 1290.35235
Banica, Valeria; Vega, Luis
26
2012
Existence of maximizers for Sobolev-Strichartz inequalities. Zbl 1235.35012
Fanelli, Luca; Vega, Luis; Visciglia, Nicola
16
2012
Selfsimilar solutions of the binormal flow and their stability. Zbl 1291.35328
Banica, Valeria; Vega, Luis
6
2012
Scattering for solutions of NLS in the exterior of a 2D star-shaped obstacle. Zbl 1264.35226
Planchon, Fabrice; Vega, Luis
4
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
Carleman estimates and necessary conditions for the existence of waveguides. Zbl 1348.35335
Escauriaza, Luis; Fanelli, Luca; Vega, Luis
2
2012
On the existence of maximizers for a family of restriction theorems. Zbl 1225.42012
Fanelli, Luca; Vega, Luis; Visciglia, Nicola
21
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
Endpoint Strichartz estimates for the magnetic Schrödinger equation. Zbl 1188.81061
D’Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola
49
2010
The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008
Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
42
2010
The Hardy uncertainty principle revisited. Zbl 1242.35017
Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
26
2010
Bilinear virial identities and oscillatory integrals. Zbl 1194.35116
Vega, Luis
2
2010
Bilinear virial identities and applications. Zbl 1192.35166
Planchon, Fabrice; Vega, Luis
69
2009
On the stability of a singular vortex dynamics. Zbl 1183.35029
Banica, V.; Vega, L.
28
2009
Magnetic virial identities, weak dispersion and Strichartz inequalities. Zbl 1163.35005
Fanelli, Luca; Vega, Luis
28
2009
Local well-posedness for the modified KdV equation in almost critical \(\widehat {H^r_s}\)-spaces. Zbl 1182.35197
Grünrock, Axel; Vega, Luis
20
2009
Stability in \(L^1\) of circular vortex patches. Zbl 1181.35201
Sideris, Thomas C.; Vega, Luis
13
2009
A numerical study of the self-similar solutions of the Schrödinger map. Zbl 1219.65139
de la Hoz, F.; García-Cervera, C. J.; Vega, L.
13
2009
Weak dispersive estimates for Schrödinger equations with long range potentials. Zbl 1178.35143
Barceló, J. A.; Ruiz, A.; Vega, L.; Vilela, M. C.
6
2009
Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018
Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis
42
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.
24
2008
Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations. Zbl 1146.35020
Moyua, A.; Vega, L.
23
2008
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity. Zbl 1137.35020
Perthame, Benoit; Vega, Luis
19
2008
On the Dirac delta as initial condition for nonlinear Schrödinger equations. Zbl 1147.35092
Banica, V.; Vega, L.
13
2008
The effect of surface tension on the Moore singularity of vortex sheet dynamics. Zbl 1160.76010
de la Hoz, F.; Fontelos, M. A.; Vega, L.
6
2008
On the equipartition of energy for the critical \(NLW\). Zbl 1156.35064
Vega, Luis; Visciglia, Nicola
5
2008
Asymptotic lower bounds for a class of Schrödinger equations. Zbl 1155.35098
Vega, Luis; Visciglia, Nicola
4
2008
Scaling-sharp dispersive estimates for the Korteweg-de Vries group. Zbl 1158.35415
Côte, Raphaël; Vega, Luis
2
2008
A uniqueness result for solutions to subcritical NLS. Zbl 1191.35259
Vega, Luis; Visciglia, Nicola
1
2008
On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
55
2007
Schrödinger maps and their associated frame systems. Zbl 1142.35087
Nahmod, Andrea; Shatah, Jalal; Vega, Luis; Zeng, Chongchun
27
2007
Hardy-type estimates for Dirac operators. Zbl 1156.35067
Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis
14
2007
Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076
Perelman, Galina; Vega, L.
10
2007
Some weighted Gagliardo-Nirenberg inequalities and applications. Zbl 1120.26009
Duoandikoetxea, Javier; Vega, Luis
9
2007
On the local smoothing for the Schrödinger equation. Zbl 1173.35107
Vega, Luis; Visciglia, Nicola
8
2007
On the local smoothing for a class of conformally invariant Schrödinger equations. Zbl 1171.35117
Vega, Luis; Visciglia, Nicola
3
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.
49
2006
Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026
Goldberg, Michael; Vega, Luis; Visciglia, Nicola
30
2006
Pointwise convergence of solutions to the nonelliptic Schrödinger equation. Zbl 1124.35071
Rogers, Keith M.; Vargas, Ana; Vega, Luis
19
2006
Some dispersive estimates for Schrödinger equations with repulsive potentials. Zbl 1293.35090
Barceló, Juan A.; Ruiz, Alberto; Vega, Luis
17
2006
The general quasilinear ultrahyperbolic Schrödinger equation. Zbl 1122.35137
Kenig, Carlos E.; Ponce, Gustavo; Rolvung, Christian; Vega, Luis
14
2006
Decay at infinity of caloric functions within characteristic hyperplanes. Zbl 1116.35018
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
11
2006
Variable coefficient Schrödinger flows for ultrahyperbolic operators. Zbl 1088.35065
Kenig, C. E.; Ponce, G.; Rolvung, C.; Vega, L.
20
2005
The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
65
2004
An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis
28
2004
A real space method for averaging lemmas. Zbl 1082.35043
Jabin, Pierre-Emmanuel; Vega, Luis
21
2004
Self-similar solutions of the localized induction approximation: singularly formation. Zbl 1072.35152
Gutiérrez, Susana; Vega, Luis
10
2004
Formation of singularities and self-similar vortex motion under the localized induction approximation. Zbl 1044.35089
Gutiérrez, Susana; Rivas, Judith; Vega, Luis
47
2003
On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
40
2003
\(L^2\) stability of solitons for KdV equation. Zbl 1022.35061
Merle, F.; Vega, L.
36
2003
On the unique continuation of solutions to the generalized KdV equation. Zbl 1055.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
20
2003
On the interaction of nearly parallel vortex filaments. Zbl 1073.76014
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
17
2003
Averaging lemmas and the X-ray transform. Zbl 1030.35005
Jabin, Pierre-Emmanuel; Vega, Luis
6
2003
Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations. Zbl 1147.35301
Perthame, Benoît; Vega, Luis
3
2003
On the uniqueness of solutions of higher order nonlinear dispersive equations. Zbl 1050.35100
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
2
2003
Sommerfeld condition for a Liouville equation and concentration of trajectories. Zbl 1050.35109
Perthame, Benoît; Vega, Luis
1
2003
...and 45 more Documents
all top 5

Cited by 2,250 Authors

84 Vega, Luis
62 Kenig, Carlos Eduardo
58 Ponce, Gustavo
44 Linares, Felipe
43 Lee, Sanghyuk
42 Guo, Boling
39 Himonas, A. Alexandrou
38 Hayashi, Nakao
32 Fanelli, Luca
30 Naumkin, Pavel Ivanovich
30 Tataru, Daniel
29 Zhang, Bingyu
25 Martel, Yvan
25 Tzvetkov, Nikolay
25 Yan, Wei
23 Miao, Changxing
23 Panthee, Mahendra
22 Wang, Baoxiang
21 Merle, Frank
21 Molinet, Luc
20 D’Ancona, Piero
20 Muñoz, Claudio
20 Tao, Terence
19 Carvajal, Xavier Paredes
19 Huang, Jianhua
19 Huo, Zhaohui
19 Ozawa, Tohru
19 Staffilani, Gigliola
19 Wang, Ming
18 Cassano, Biagio
18 Li, Yongsheng
18 Saut, Jean-Claude
18 Seo, Ihyeok
18 Vargas, Ana M.
18 Visciglia, Nicola
17 Banica, Valeria
17 Esfahani, Amin
17 Guo, Zihua
17 Krejčiřík, David
17 Lar’kin, Nikolaj Andreevich
17 Oh, Tadahiro
17 Tian, Lixin
17 Zheng, Jiqiang
16 Barceló, Juan Antonio
16 Bennett, Jonathan M.
16 Cui, Shangbin
16 Liu, Yue
16 Pilod, Didier
15 Alejo, Miguel A.
15 Ho, Kwok-Pun
15 Isaza, Pedro
15 Rogers, Keith McKenzie
15 Visan, Monica
15 Zhang, Junyong
14 Bona, Jerry Lloyd
14 Dodson, Benjamin G.
14 Erdoğan, Mehmet Burak
14 Li, Junfeng
14 Nakanishi, Kenji
14 Ruiz, Alberto
14 Sawano, Yoshihiro
14 Segata, Jun-ichi
14 Wu, Jiahong
14 Zhu, Mingxuan
13 Bejenaru, Ioan
13 Herr, Sebastian
13 Kukavica, Igor
13 Kwak, Chulkwang
13 Mejía, Jorge
13 Oliveira e Silva, Diogo
13 Pastor, Ademir
13 Tzirakis, Nikolaos
13 Wan, Renhui
12 Arrizabalaga, Naiara
12 Behrndt, Jussi
12 Bez, Neal
12 Cavalcante, Márcio André Araújo
12 Farah, Luiz Gustavo
12 Killip, Rowan
12 Metcalfe, Jason L.
12 Shang, Haifeng
12 Sogge, Christopher D.
12 Sun, Shuming
12 Yan, Fangchi
11 Cacciafesta, Federico
11 Chen, Wengu
11 Colliander, James E.
11 Côte, Raphaël
11 Escauriaza Zubiria, Luis
11 Fernández-Bertolin, Aingeru
11 Hakim, Denny Ivanal
11 Holzmann, Markus
11 Ionescu, Alexandru D.
11 Li, Ze
11 Mizutani, Haruya
11 Yin, Zhaoyang
10 Coclite, Giuseppe Maria
10 Corcho, Adán J.
10 Ding, Yong
10 Esteban, Maria J.
...and 2,150 more Authors
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Cited in 335 Serials

196 Journal of Differential Equations
172 Journal of Mathematical Analysis and Applications
142 Journal of Functional Analysis
133 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
93 Communications in Partial Differential Equations
83 Communications in Mathematical Physics
65 Transactions of the American Mathematical Society
64 Proceedings of the American Mathematical Society
62 Journal of Mathematical Physics
54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
53 Discrete and Continuous Dynamical Systems
50 SIAM Journal on Mathematical Analysis
47 Communications on Pure and Applied Analysis
44 Advances in Mathematics
42 Mathematische Annalen
37 Journal de Mathématiques Pures et Appliquées. Neuvième Série
36 The Journal of Fourier Analysis and Applications
34 Nonlinearity
34 ZAMP. Zeitschrift für angewandte Mathematik und Physik
33 Journal d’Analyse Mathématique
32 Duke Mathematical Journal
31 Mathematical Methods in the Applied Sciences
31 Revista Matemática Iberoamericana
31 Nonlinear Analysis. Real World Applications
31 Journal of Evolution Equations
29 Calculus of Variations and Partial Differential Equations
27 Analysis & PDE
25 Archive for Rational Mechanics and Analysis
25 Applied Mathematics Letters
23 NoDEA. Nonlinear Differential Equations and Applications
23 Communications in Contemporary Mathematics
22 Acta Mathematica Sinica. English Series
21 Mathematische Zeitschrift
20 Mathematische Nachrichten
20 The Journal of Geometric Analysis
20 Journal of Hyperbolic Differential Equations
19 Discrete and Continuous Dynamical Systems. Series B
18 Journal of Nonlinear Science
17 Physica D
17 Journal of the European Mathematical Society (JEMS)
16 Journal of the American Mathematical Society
15 Applicable Analysis
15 Indiana University Mathematics Journal
15 Annales Henri Poincaré
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Communications on Pure and Applied Mathematics
13 Journal of Dynamics and Differential Equations
12 Forum Mathematicum
12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Potential Analysis
12 Science China. Mathematics
11 Monatshefte für Mathematik
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Journal of Mathematical Fluid Mechanics
11 Nonlinear Analysis. Theory, Methods & Applications
10 Letters in Mathematical Physics
10 Inventiones Mathematicae
10 Chinese Annals of Mathematics. Series B
10 Frontiers of Mathematics in China
10 SN Partial Differential Equations and Applications
9 Annales de l’Institut Fourier
9 Bulletin of the American Mathematical Society. New Series
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9 Abstract and Applied Analysis
9 Acta Mathematica Scientia. Series B. (English Edition)
9 Annals of PDE
9 Séminaire Laurent Schwartz. EDP et Applications
8 Applied Mathematics and Computation
8 Studies in Applied Mathematics
8 Acta Applicandae Mathematicae
8 Geometric and Functional Analysis. GAFA
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Journal of Nonlinear Mathematical Physics
8 Journal of Spectral Theory
8 Mathematical Control and Related Fields
7 Reviews in Mathematical Physics
7 Acta Mathematica
7 Applied Mathematics and Optimization
7 Quarterly of Applied Mathematics
7 Revista Matemática Complutense
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Analysis and Applications (Singapore)
7 Boundary Value Problems
7 Proceedings of the Steklov Institute of Mathematics
6 Arkiv för Matematik
6 Mathematics of Computation
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Proceedings of the London Mathematical Society. Third Series
6 Selecta Mathematica. New Series
6 Bulletin des Sciences Mathématiques
6 Journal of Inequalities and Applications
6 Communications in Nonlinear Science and Numerical Simulation
6 Bulletin of the Brazilian Mathematical Society. New Series
6 Oberwolfach Reports
6 Discrete and Continuous Dynamical Systems. Series S
6 Annals of Functional Analysis
6 Analysis and Mathematical Physics
6 Pure and Applied Analysis
5 Computers & Mathematics with Applications
5 Journal of Fluid Mechanics
...and 235 more Serials
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Cited in 53 Fields

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188 Functional analysis (46-XX)
112 Real functions (26-XX)
74 Global analysis, analysis on manifolds (58-XX)
72 Numerical analysis (65-XX)
65 Probability theory and stochastic processes (60-XX)
65 Statistical mechanics, structure of matter (82-XX)
59 Optics, electromagnetic theory (78-XX)
49 Systems theory; control (93-XX)
41 Ordinary differential equations (34-XX)
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34 Measure and integration (28-XX)
24 Integral transforms, operational calculus (44-XX)
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