Stabilization for the Wave Equation with Variable Coefficients and Balakrishnan-Taylor Damping

被引：16

作者：

Ha, Tae Gab ^{[1
,2
]}

机构：

[1] Chonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea

[2] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 561756, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2017年 / 21卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

wave equation with variable coefficients; Balakrishnan-Taylor damping; asymptotic stability; ACOUSTIC BOUNDARY-CONDITIONS; ENERGY DECAY;

D O I：

10.11650/tjm/7828

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the wave equation with variable coefficients and Balakrishnan-Taylor damping and source terms. This work is devoted to prove, under suitable conditions on the initial data, the uniform decay rates of the energy without imposing any restrictive growth near zero assumption on the damping term.

引用

页码：807 / 817

页数：11

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