Arbitrary Decay of Energy for a Viscoelastic Problem with Balakrishnan-Taylor Damping

被引：12
|
作者：
Park, Sun-Hye [1 ]
机构：
[1] Pusan Natl Univ, Ctr Educ Accreditat, Busan 609735, South Korea
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Arbitrary decay rate; Balakrishnan-Taylor damping; Memory; EQUATIONS; EXISTENCE;
D O I：
10.11650/tjm.20.2016.6079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider a viscoelastic problem with Balakrishnan-Taylor damping u(tt) - (a + b parallel to del u parallel to(2) + sigma(del u, del u(t))) Delta u + integral(t)(0) g(t - s)Delta u(s) ds = 0 with Dirichlet boundary condition. We establish a decay result of the energy of solutions for the problem without imposing the usual relation between the relaxation function g and its derivative. This result generalizes earlier ones to an arbitrary rate of decay, which is not necessarily of exponential or polynomial decay.
引用
收藏
页码：129 / 141
页数：13
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