On the Stabilization of a Non-Dissipative Cauchy Viscoelastic Problem

被引：2

作者：

Kafini, Mohammad ^{[1
]}

Mustafa, Mohammad I. ^{[2
]}

机构：

[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Sharjah, Sharjah, U Arab Emirates

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 06期

关键词：

Decay; Cauchy problem; relaxation function; viscoelastic; hyperbolic; compactly supported; ASYMPTOTIC STABILITY; VOLTERRA EQUATION; GLOBAL EXISTENCE; ENERGY; DECAY; SYSTEMS;

D O I：

10.1007/s00009-016-0799-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a linear Cauchy viscoelastic problem with an external source term. We find the critical weaker conditions on the source needed to show that, for any compactly supported initial data and for an exponentially decaying relaxation function, the decay of the first energy of solution is polynomial.

引用

页码：5163 / 5176

页数：14

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