Low regularity solutions for the Kadomtsev-Petviashvili I equation
Analysis of PDEs
2007-05-23 v2
Abstract
In this paper we obtain local in time existence and (suitable) uniqueness and continuous dependence for the KP-I equation for small data in the intersection of the energy space and a natural weighted space.
Keywords
Cite
@article{arxiv.math/0204244,
title = {Low regularity solutions for the Kadomtsev-Petviashvili I equation},
author = {J. Colliander and C. Kenig and G. Staffilani},
journal= {arXiv preprint arXiv:math/0204244},
year = {2007}
}
Comments
clarified version emerging from careful reading and input from referees