Solitary waves for Maxwell-Schrodinger equations

Details Solitary waves for Maxwell-Schrodinger equations Solitary waves for Maxwell-Schrodinger equations

2003-03-12

arxiv.org/abs/math/0303142v1

Mathematics

Analysis of PDEs

31 pages

Scientific paper

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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