Luis Vega

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Luis EscauriazaUPV/EHUVerified email at ehu.es
alberto ruizprofesor de matemáticas, universidad autónoma de madridVerified email at uam.es
Luca FanelliIkerbasque & UPV/EHUVerified email at ehu.es
Javier DuoandikoetxeaUniversidad del País Vasco/Euskal Herriko UnibertsitateaVerified email at ehu.eus
Juan Antonio BarcelóUniversidad Politécnica de MadridVerified email at upm.es
Albert MasUniversitat Politècnica de CatalunyaVerified email at upc.edu
Susana GutierrezUniversity of BirminghamVerified email at bham.ac.uk
frank merleU. cergy pontoise and IHESVerified email at ihes.fr
Fabrice PlanchonProfessor, Sorbonne UniversitéVerified email at sorbonne-universite.fr
Terence TaoProfessor of Mathematics, UCLAVerified email at math.ucla.edu
Jean DOLBEAULTCeremade, Université Paris-DauphineVerified email at ceremade.dauphine.fr
Maria J. ESTEBANDirectrice de recherche émérite, CNRS & Université Paris-DauphineVerified email at ceremade.dauphine.fr
Andrea R. NahmodProfessor of MathematicsVerified email at umass.edu
Oscar BlascoUniversidad de ValenciaVerified email at uv.es
Bjorn BirnirProfessor of Mathmatics and Director of Center for Complex, Nonlinear and Data Science, UC SantaVerified email at math.ucsb.edu
Piero D'AnconaProfessore Sapienza - Universita' di RomaVerified email at mat.uniroma1.it
Felipe LinaresIMPAVerified email at impa.br
Michael LossProfessor of MathematicsVerified email at math.gatech.edu
marco fontelosInstituto de Ciencias Matemáticas, CSIC, SpainVerified email at icmat.es
Claudio MuñozProfessor, Mathematical Engineering Department (DIM) and Center for Mathematical Modeling (CMM)Verified email at dim.uchile.cl

Luis Vega

Professor of Mathematics, UPV/EHU& BCAM, Bilbao, Spain

Verified email at ehu.eus - Homepage

Partial Differential Equations Fourier Analysis


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Well‐posedness and scattering results for the generalized Korteweg‐de Vries equation via the contraction principle CE Kenig, G Ponce, L Vega Communications on Pure and Applied Mathematics 46 (4), 527-620, 1993	1581	1993
A bilinear estimate with applications to the KdV equation C Kenig, G Ponce, L Vega Journal of the American Mathematical Society 9 (2), 573-603, 1996	936	1996
Oscillatory integrals and regularity of dispersive equations CE Kenig, G Ponce, L Vega Indiana University Mathematics Journal 40 (1), 33-69, 1991	917	1991
Well-posedness of the initial value problem for the Korteweg-de Vries equation CE Kenig, G Ponce, L Vega Journal of the American Mathematical Society 4 (2), 323-347, 1991	778	1991
Schrödinger equations: pointwise convergence to the initial data L Vega Proceedings of the American Mathematical Society 102 (4), 874-878, 1988	518	1988
On the ill-posedness of some canonical dispersive equations CE Kenig, G Ponce, L Vega Duke Math. J. 106 (3), 617-633, 2001	477	2001
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices CE Kenig, G Ponce, L Vega Duke Math. J. 71 (1), 1-21, 1993	467	1993
Small solutions to nonlinear Schrödinger equations CE Kenig, G Ponce, L Vega Annales de l'Institut Henri Poincaré C, Analyse non linéaire 10 (3), 255-288, 1993	380	1993
A bilinear approach to the restriction and Kakeya conjectures T Tao, A Vargas, L Vega Journal of the American Mathematical Society 11 (4), 967-1000, 1998	322	1998
Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D. F Merle, L Vega IMRN: International Mathematics Research Notices 1998 (8), 1998	271	1998
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations CE Kenig, G Ponce, L Vega Inventiones mathematicae 134 (3), 489-545, 1998	250	1998
On the (generalized) Korteweg-de Vries equation CE Kenig, G Ponce, L Vega Duke Math. J. 59 (3), 585-610, 1989	203	1989
Quadratic forms for the 1-D semilinear Schrödinger equation C Kenig, G Ponce, L Vega Transactions of the American Mathematical Society 348 (8), 3323-3353, 1996	181	1996
Bilinear virial identities and applications F Planchon, L Vega Annales scientifiques de l'Ecole normale supérieure 42 (2), 261-290, 2009	173	2009
The Cauchy problem for quasi-linear Schrödinger equations. CE Kenig, G Ponce, L Vega Inventiones mathematicae 158 (2), 2004	163	2004
Schrödinger maximal function and restriction properties of the Fourier transform. A Moyua, A Vargas, L Vega IMRN: International Mathematics Research Notices 1996 (16), 1996	162	1996
Restriction theorems and maximal operators related to oscillatory integrals in ℝ 3 A Moyua, A Vargas, L Vega Duke Math. J. 96 (3), 547-574, 1999	156	1999
Higher-order nonlinear dispersive equations CE Kenig, G Ponce, L Vega Proceedings of the American Mathematical Society 122 (1), 157-166, 1994	142	1994
Non interpolation in Morrey-Campanato and block spaces O Blasco, A Ruiz, L Vega Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 28 (1), 31-40, 1999	138	1999
On the zakharov and zakharov-schulman systems CE Kenig, G Ponce, L Vega Journal of Functional Analysis 127 (1), 204-234, 1995	138	1995

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