ON THE VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND ACOUSTIC BOUNDARY CONDITIONS

被引：9
|
作者：
Ha, Tae Gab [1 ,2 ]
机构：
[1] Chonbuk Natl Univ, Dept Math, Jeonju 54896, South Korea
[2] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 54896, South Korea
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2018年 / 7卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Viscoelastic equation; acoustic boundary conditions; Balakrishnan-Taylor damping; global existence; general decay rate; WAVE-EQUATION; GENERAL DECAY; GLOBAL EXISTENCE; VARIABLE-COEFFICIENTS; ENERGY DECAY; MEMORY TERM; STABILITY; STABILIZATION; REGULARITY; DOMAINS;
D O I：
10.3934/eect.2018014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. This work is devoted to prove, under suitable conditions on the initial data, the global existence and uniform decay rate of the solutions when the relaxation function is not necessarily of exponential or polynomial type.
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页码：281 / 291
页数：11
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