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arXiv · 1111.3385

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

Yue Ma
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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.

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Yue Ma. 2011-11-14. Global solutions of coupled Klein-Gordon equations with different velocities in four space-time dimensions. https://arxiv.org/abs/1111.3385

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