Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback

被引：30

作者：

Li, Jing ^{[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 | 2015年 / 112卷

基金：

中国国家自然科学基金;

关键词：

Wave equation; Variable coefficients; Energy decay; Acoustic boundary conditions; Time-varying delay; UNIFORM STABILIZATION; WELL-POSEDNESS; STABILITY; OBSERVABILITY; REGULARITY; TERM;

D O I：

10.1016/j.na.2014.08.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variable-coefficient wave equation with acoustic boundary conditions and a time-varying delay in the boundary feedback is considered. Applying the Riemannian geometry method, we show that the decay rates of the nonlinear system with a time-varying delay are described by solutions to a first order ODE. (C) 2014 Elsevier Ltd. All rights reserved,

引用

页码：105 / 117

页数：13

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