General decay for a system of nonlinear viscoelastic wave equations with weak damping

被引：15

作者：

Feng, Baowei ^{[1
]}

Qin, Yuming ^{[2
]}

Zhang, Ming ^{[1
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

viscoelastic system; general decay; weak damping; KLEIN-GORDON EQUATIONS; EXPONENTIAL DECAY; GLOBAL EXISTENCE; UNIFORM DECAY;

D O I：

10.1186/1687-2770-2012-146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in R-n (n = 1, 2, 3). Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends some existing results for a single equation to the case of a coupled system.

引用

页数：11

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