Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Jean Bourgain · Geometric and Functional Analysis · 1993 · 1.7K citations

Natural Sciences, Mathematics, Physics +9

A bilinear estimate with applications to the KdV equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Journal of the American Mathematical Society · 1996 · 864 citations · Full text

Natural Sciences, Mathematics, Physics +15

Space‐time estimates for null forms and the local existence theorem

Sergiù Klainerman, Matei Machedon · Communications on Pure and Applied Mathematics · 1993 · 482 citations

Natural Sciences, Mathematics, Dynamical Systems +13

The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Duke Mathematical Journal · 1993 · 426 citations

Natural Sciences, Mathematics, Physics +13

Local smoothing properties of dispersive equations

Peter Constantin, Jean‐Claude Saut · Journal of the American Mathematical Society · 1988 · 405 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +11