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 | 1566 | 1993 |
A bilinear estimate with applications to the KdV equation CE Kenig, G Ponce, L Vega Journal of the American Mathematical Society, 573-603, 1996 | 930 | 1996 |
Oscillatory integrals and regularity of dispersive equations CE Kenig, G Ponce, L Vega Indiana University Mathematics Journal 40 (1), 33-69, 1991 | 905 | 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 | 772 | 1991 |
Schrödinger equations: pointwise convergence to the initial data L Vega Proceedings of the American Mathematical Society 102 (4), 874-878, 1988 | 512 | 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 | 464 | 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 | 373 | 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 | 320 | 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 | 269 | 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 | 247 | 1998 |
On the (generalized) Korteweg-de Vries equation CE Kenig, G Ponce, L Vega Duke Math. J. 59 (3), 585-610, 1989 | 199 | 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 | 179 | 1996 |
Bilinear virial identities and applications F Planchon, L Vega Annales scientifiques de l'Ecole normale supérieure 42 (2), 261-290, 2009 | 172 | 2009 |
The Cauchy problem for quasi-linear Schrödinger equations. CE Kenig, G Ponce, L Vega Inventiones mathematicae 158 (2), 2004 | 162 | 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 | 160 | 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 | 140 | 1994 |
On the zakharov and zakharov-schulman systems CE Kenig, G Ponce, L Vega Journal of Functional Analysis 127 (1), 204-234, 1995 | 137 | 1995 |
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 | 136 | 1999 |