Solitary waves for Maxwell-Schrödinger equations
Date
2004-07-30
Authors
Coclite, Giuseppe Maria
Georgiev, Vladimir
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper we study solitary waves for the coupled system of Schrödinger-Maxwell equations in the three-dimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed L2 norm. We study the asymptotic behavior and the smoothness of these solutions. We show also that the eigenvalues are negative and the first one is isolated.
Description
Keywords
Maxwell-Schrodinger system, Solitary type solutions, Variational problems
Citation
Coclite, G. M., & Georgiev, V. (2004). Solitary waves for Maxwell-Schrodinger equations. <i>Electronic Journal of Differential Equations, 2004</i>(94), pp. 1-31.
Rights
Attribution 4.0 International