Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions
Analysis of PDEs
2011-11-21 v3
Abstract
In this article one will discuss the system of coupled nonlinear Klein-Gordon equations with different velocities and different masses. The nonlinearity considered is a general quadratic nonlinearity without any restriction. The method is a classical boot-strap argument combined with a serious of techniques including conformal energy estimate, global sobolev's lemma and Hardy type inequalities.
Keywords
Cite
@article{arxiv.1111.3385,
title = {Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions},
author = {Yue Ma},
journal= {arXiv preprint arXiv:1111.3385},
year = {2011}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in energy estimate