General decay rate estimates for viscoelastic wave equation with Balakrishnan–Taylor damping

被引：0
|
作者：
Tae Gab Ha
机构：
[1] Pusan National University,Department of Mathematics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2016年 / 67卷
关键词：
Viscoelastic wave equation; Balakrishnan–Taylor damping; Asymptotic behavior at zero and infinity; 35B40; 35L20; 45K05;
D O I：
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学科分类号：
摘要：
In this paper, we consider the viscoelastic wave equation with Balakrishnan–Taylor damping. This work is devoted to prove uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function. Our estimate depends both on the behavior of the damping term near zero and on behavior of the relaxation function at infinity.
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