The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data
Analysis of PDEs
2007-05-23 v2
Abstract
The Cauchy problem for a coupled system of the Schroedinger and the KdV equation is shown to be globally well-posed for data with infinite energy. The proof uses refined bilinear Strichartz estimates and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.
Keywords
Cite
@article{arxiv.math/0501408,
title = {The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:math/0501408},
year = {2007}
}
Comments
25 pages. Minor corrections have been made