Uniform Decay for the Coupled Klein-Gordon-Schrodinger Equation with Linear Memory

被引：3

作者：

Park, Jong Yeoul ^{[2
]}

Kim, Jung Ae ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea

[2] Pusan Natl Univ, Dept Math, Coll Sci, Pusan 609735, South Korea

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 01期

关键词：

Klein-Gordon-Schrodinger equation; Faedo-Galerkin approximation; Energy methods;

D O I：

10.1007/s10440-009-9432-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we prove the existence and uniform decay of the solution to the mixed problem for coupled Klein-Gordon-Schrodinger equation with memory term. The existence is proved by means of the Faedo-Galerkin method and the asymptotic behavior is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik.

引用

页码：449 / 467

页数：19

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