Chern-Simons limit of the standing wave solutions for the Schrodinger equations coupled with a neutral scalar field

被引：22

作者：

Han, Jongmin ^{[1
]}

Huh, Hyungjin ^{[2
]}

Seok, Jinmyoung ^{[3
]}

机构：

[1] Kyung Hee Univ, Dept Math, Seoul 130701, South Korea

[2] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

[3] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Schrodinger; Chern-Simons limit; Standing waves; Variational methods; MAXWELL EQUATIONS; SOLITARY WAVES; SOLITONS; ASYMPTOTICS; EXISTENCE;

D O I：

10.1016/j.jfa.2013.09.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show the existence of standing wave solutions to the Schrodinger equation coupled with a neutral scalar field. We also verify the Chern-Simons limit for these solutions. More precisely we prove that solutions to Eqs. (1.3)-(1.4) converge to the unique positive radially symmetric solution of the nonlinear Schrodinger equation (1.6) as the coupling constant q goes to infinity. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：318 / 342

页数：25

共 25 条

[1]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[2] Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations [J].