On solutions for the Kadomtsev-Petviashvili I equation
Analysis of PDEs
2007-05-23 v3
Abstract
Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space involving derivatives of total order no larger than 2.
Keywords
Cite
@article{arxiv.math/0112025,
title = {On solutions for the Kadomtsev-Petviashvili I equation},
author = {J. Colliander and C. Kenig and G. Staffilani},
journal= {arXiv preprint arXiv:math/0112025},
year = {2007}
}
Comments
fixed mistaken replacement with the proper file. The paper is to appear in Moscow Mathematical Journal