Exponential decay for a viscoelastic problem with a singular kernel

被引:0
作者
Nasser-eddine Tatar
机构
[1] King Fahd University of Petroleum and Mineral,Department of Mathematical Sciences
来源
Zeitschrift für angewandte Mathematik und Physik | 2009年 / 60卷
关键词
35L20; 35B40; 45K05; Exponential decay; memory term; relaxation function; viscoelasticity;
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摘要
In this paper we consider a problem which arises in viscoelasticity. We prove exponential decay of solutions for the problem with a memory term involving a kernel which is singular at zero. This is established by introducing an appropriate Lyapunov type functional and using the energy method. This work extends earlier results.
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页码:640 / 650
页数:10
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