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Cauchy problem for the nonlinear Klein–Gordon equation coupled with the Maxwell equation

descriptionPublicationkeyboard_double_arrow_right Article , Journal 01 Nov 2016 France Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 443, pages 778-796 (issn: 0022-247X,

Authors: Mathieu Colin; Tatsuya Watanabe;

doi: 10.1016/j.jmaa.2016.05.057

Cauchy problem for the nonlinear Klein–Gordon equation coupled with the Maxwell equation

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Abstract

In this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy problem.

Country

France

Related Organizations

Institut de Mathématiques de Bordeaux
France
French Institute for Research in Computer Science and Automation
France
Kyoto Sangyo University
Japan
Institut Polytechnique de Bordeaux
France
Kyoto Sangyo University
Japan

Keywords

Cauchy problem, Symmetric hyperbolic system, Klein–Gordon–Maxwell system, Energy method, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

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