Global well-posedness for the KP-I equation on the background of a non localized solution
Analysis of PDEs
2009-11-11 v1
Abstract
We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave solution (e.g. the KdV line solitary wave or the Zaitsev solitary waves which are localized in and periodic or conversely).
Keywords
Cite
@article{arxiv.math/0610223,
title = {Global well-posedness for the KP-I equation on the background of a non localized solution},
author = {Luc Molinet and Jean-Claude Saut and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:math/0610223},
year = {2009}
}