Uniform decay of the solution to a wave equation with memory conditions on the boundary

被引：14

作者：

Wu, Jieqiong ^{[1
]}

Li, Shengjia ^{[1
]}

Chai, Shugen ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 07期

基金：

美国国家科学基金会;

关键词：

Riemannian geometry method; Variable coefficients; Boundary memory conditions; 2ND-ORDER HYPERBOLIC-EQUATIONS; VARIABLE-COEFFICIENTS; EXACT CONTROLLABILITY; ENERGY DECAY; OBSERVABILITY INEQUALITIES; SOURCE-TERM; STABILIZATION; DOMAIN; DISSIPATION; EXISTENCE;

D O I：

10.1016/j.na.2010.05.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A wave equation with variable coefficients in principal part and memory conditions on the boundary is considered. The Riemannian geometry method is applied to prove the exponential decay of the energy provided the relaxation function also decays exponentially. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2213 / 2220

页数：8

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