Solitary waves for Maxwell-Schrodinger equations

Giuseppe Maria Coclite; Vladimir Georgiev

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Solitary waves for Maxwell-Schrodinger equations

Giuseppe Maria Coclite·Vladimir Georgiev

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Abstract

In this paper we study the solitary waves for the coupled Schrödinger - Maxwell equations in three-dimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed $L^2$ norm. We study the asymptotic behavior and the smoothness of these solutions. We show also the fact that the eigenvalues are negative and the first one is isolated.

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Giuseppe Maria Coclite, Vladimir Georgiev. 2003-03-12. Solitary waves for Maxwell-Schrodinger equations. https://arxiv.org/abs/math/0303142

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