On solutions for the Kadomtsev-Petviashvili I equation
arXiv:math/0112025
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.
fixed mistaken replacement with the proper file. The paper is to appear in Moscow Mathematical Journal