Existence and uniqueness of energy solution to Klein-Gordon-Schrodinger equations

被引：11

作者：

Shi, Qihong ^{[1
]}

Wang, Shu ^{[2
]}

Li, Yong ^{[2
]}

机构：

[1] Hebei Finance Univ, Dept Basic Courses, Baoding 071051, Peoples R China

[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 01期

关键词：

Nonlinear; KGS equations; Finite-energy solution; Existence; Uniqueness; UNIFORM DECAY; SYSTEM;

D O I：

10.1016/j.jde.2011.09.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the initial value problem for the non-linear Klein-Gordon-Schrodinger (KGS) equations in R(3+1) time-space. By using viscous approach, the existence of the global finite-energy solution is established for the nonlinear KGS equations by compactness argument. In addition, the uniqueness of the solution is proved by introducing a function with integral form. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.

引用

页码：168 / 180

页数：13

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