Solitary waves for Maxwell-Schrodinger equations
Analysis of PDEs
2016-05-10 v1 Spectral Theory
Abstract
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 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.
Cite
@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}
}
Comments
31 pages