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：32
|
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,
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页码：105 / 117
页数：13
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