Solitary waves for Maxwell-Schrödinger equations

Giuseppe Maria Coclite; Vladimir Georgiev

Solitary waves for Maxwell-Schrödinger equations

Giuseppe Maria Coclite^*, Vladimir Georgiev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

43 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Electronic Journal of Differential Equations
Volume	2004
Publication status	Published - 2004 Jul 30
Externally published	Yes

Keywords

Maxwell - Schrödinger system
Solitary type solutions
Variational problems

ASJC Scopus subject areas

Analysis

Cite this

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title = "Solitary waves for Maxwell-Schr{\"o}dinger equations",

abstract = "In this paper we study solitary waves for the coupled system of Schr{\"o}dinger- 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.",

keywords = "Maxwell - Schr{\"o}dinger system, Solitary type solutions, Variational problems",

author = "Coclite, {Giuseppe Maria} and Vladimir Georgiev",

year = "2004",

month = jul,

day = "30",

language = "English",

volume = "2004",

pages = "1--15",

journal = "Electronic Journal of Differential Equations",

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publisher = "Texas State University - San Marcos",

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T1 - Solitary waves for Maxwell-Schrödinger equations

AU - Coclite, Giuseppe Maria

AU - Georgiev, Vladimir

PY - 2004/7/30

Y1 - 2004/7/30

N2 - 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.

AB - 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.

KW - Maxwell - Schrödinger system

KW - Solitary type solutions

KW - Variational problems

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UR - http://www.scopus.com/inward/citedby.url?scp=4644344610&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:4644344610

SN - 1072-6691

VL - 2004

SP - 1

EP - 15

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Solitary waves for Maxwell-Schrödinger equations

Abstract

Keywords

ASJC Scopus subject areas

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