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

2011/11/14 by Yue Ma, Ma, Yue
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1111.3385

This paper has been withdrawn by the author due to a crucial sign error in energy estimate

openalex publication_date 2011/11/14 · arxiv created 2011/11/18 · arxiv updated 2011/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Global existence for coupled Klein-Gordon equations with different speeds

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