On uniform decay for transmission problem of Kirchhoff type viscoelastic wave equation

被引：0
作者：
Jeong Ja Bae
机构：
[1] Dongeui University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词：
existence of solution; uniform decay; wave equation; boundary value problem; a priori estimates; 35L05; 35L70; 35B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider the large time behavior of solutions to an n-dimensional transmission problem for two Kirchhoff type viscoelastic wave equations, that is, the wave propagation over bodies consisting of two physically different types of materials. One component is a simple elastic part while the other is a viscoelastic component endowed with a long range memory. We show that the dissipation produced by the viscoelastic part is strong enough to produce exponential or polynomial decay of the solution
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页码：1197 / 1206
页数：9
相关论文
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Fatori L. H.(undefined)Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary undefined undefined undefined-undefined
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Munoz Rivera J. E.(undefined)undefined undefined undefined undefined-undefined
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