Commutator estimates and the Euler and Navier‐Stokes equations T Kato, G Ponce Communications on Pure and Applied Mathematics 41 (7), 891-907, 1988 | 2051 | 1988 |
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 | 1576 | 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 | 932 | 1996 |
Oscillatory integrals and regularity of dispersive equations CE Kenig, G Ponce, L Vega Indiana University Mathematics Journal 40 (1), 33-69, 1991 | 912 | 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 | 777 | 1991 |
Introduction to nonlinear dispersive equations F Linares, G Ponce Springer, 2014 | 746 | 2014 |
On the ill-posedness of some canonical dispersive equations CE Kenig, G Ponce, L Vega | 478 | 2001 |
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices CE Kenig, G Ponce, L Vega | 465 | 1993 |
Global existence of small solutions to a class of nonlinear evolution equations G Ponce Nonlinear Analysis: Theory, Methods & Applications 9 (5), 399-418, 1985 | 398 | 1985 |
Global, small amplitude solutions to nonlinear evolution equations S Klainerman, G Ponce Communications on Pure and Applied Mathematics 36 (1), 133-141, 1983 | 392 | 1983 |
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 | 379 | 1993 |
Persistence properties and unique continuation of solutions of the Camassa-Holm equation AA Himonas, G Misiołek, G Ponce, Y Zhou Communications in Mathematical Physics 271, 511-522, 2007 | 255 | 2007 |
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 global well-posedness of the Benjamin-Ono equation G Ponce | 228 | 1991 |
On the (generalized) Korteweg-de Vries equation CE Kenig, G Ponce, L Vega | 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 |
Local regularity of nonlinear wave equations in three space dimensions G Ponce, TC Sideris Communications in partial differential equations 18 (1-2), 169-177, 1993 | 164 | 1993 |
The Cauchy problem for quasi-linear Schrödinger equations. CE Kenig, G Ponce, L Vega Inventiones mathematicae 158 (2), 2004 | 162 | 2004 |
Global stability of large solutions to the 3D Navier-Stokes equations G Ponce, R Racke, TC Sideris, ES Titi Communications in Mathematical Physics 159, 329-341, 1994 | 158 | 1994 |
Well-Posedness of the Euler and Navier-Stokes Equations in the Lebesgue Spaces T Kato, P Gustavo Revista matemática iberoamericana 2 (1), 73-88, 1986 | 146 | 1986 |