On the uniform decay in Cauchy viscoelastic problems

被引：3
|
作者：
Kafini M. [1 ]
机构：
[1] Department of Mathematics and Statistics, KFUPM, Dhahran
来源：
Afrika Matematika | 2012年 / 23卷 / 1期
关键词：
Cauchy problem; Compactly supported; Decay; Hyperbolic; Relaxation function; Viscoelastic;
D O I：
10.1007/s13370-011-0020-3
中图分类号：
学科分类号：
摘要：
In this paper we consider a linear Cauchy viscoelastic problem with an external source term. We show that, for compactly supported initial data and for an exponentially decaying relaxation function, the decay of the first energy of solution is polynomial. The finite-speed propagation is used to compensate for the lack of Poincaré's inequality in ℝn. © 2011 African Mathematical Union and Springer-Verlag.
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页码：85 / 97
页数：12
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