Solitary waves for Maxwell-Schrodinger equations

Giuseppe Maria Coclite; Vladimir Georgiev

Solitary waves for Maxwell-Schrodinger equations

偏微分方程分析 2016-05-10 v1 谱理论

作者: Giuseppe Maria Coclite , Vladimir Georgiev

摘要

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.

关键词

solitary waves water waves nonlinear schrödinger equations

引用

@article{arxiv.math/0303142,
  title  = {Solitary waves for Maxwell-Schrodinger equations},
  author = {Giuseppe Maria Coclite and Vladimir Georgiev},
  journal= {arXiv preprint arXiv:math/0303142},
  year   = {2016}
}

备注

31 pages

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