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arxiv: math/0303142 · v1 · pith:CPMLTCG4new · submitted 2003-03-12 · 🧮 math.AP · math.SP

Solitary waves for Maxwell-Schrodinger equations

Giuseppe Maria Coclite , Vladimir Georgiev This is my paper
classification 🧮 math.AP math.SP
keywords equationssolitarywavesasymptoticbehaviorcoupledeigenvaluesexistence
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In this paper we study the solitary waves for the coupled Schr\"odinger - 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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