Global solutions of the Klein-Gordon - Schroedinger system with rough data
Analysis of PDEs
2007-05-23 v2
Abstract
The Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have a unique global solution for rough data, which not necessarily have finite energy. The proof uses a generalized bilinear estimate of Strichartz type and Bourgain's idea to split the data into low and high frequency parts.
Keywords
Cite
@article{arxiv.math/0203219,
title = {Global solutions of the Klein-Gordon - Schroedinger system with rough data},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:math/0203219},
year = {2007}
}