Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
Analysis of PDEs
2020-12-02 v1
Abstract
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the existence or multiplicity of positive solutions depends on the choices of parameters the equations contain. In this paper, we prove that for a given positive solitary wave of NSP, which is found in Ruiz's work \cite{R}, there corresponds a family of positive solitary waves of NMKG under the nonrelativistic limit. Notably, our results contain a new result of existence of positive solutions to (NMKG) with lower order nonlinearity.
Keywords
Cite
@article{arxiv.2012.00273,
title = {Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations},
author = {Sangdon Jin and Jinmyoung Seok},
journal= {arXiv preprint arXiv:2012.00273},
year = {2020}
}