Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions

Details Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions

2011-11-14

arxiv.org/abs/1111.3385v3

Mathematics

Analysis of PDEs

This paper has been withdrawn by the author due to a crucial sign error in energy estimate

Scientific paper

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.

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