Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation

被引：33

作者：

Li, Fushan ^{[1
]}

Zhao, Zengqin ^{[1
]}

Chen, Yanfu ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 03期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Viscoelastic wave equation; Boundary dissipation; Energy decay; UNIFORM DECAY; GENERAL DECAY; ASYMPTOTIC STABILITY; RATES; MEMORY; ENERGY; SYSTEM;

D O I：

10.1016/j.nonrwa.2010.11.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the nonlinear viscoelastic wave equation u(tt) - Delta u +integral(t)(0) h(t - tau)div[a(x)del u(tau)]d tau + |u|(gamma)u = 0 with boundary dissipation. Under suitable conditions on the initial data and the relaxation function, we prove the existence and uniqueness of its global solution by means of the Galerkin method and show the uniform decay rate of the energy. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1759 / 1773

页数：15

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