GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTIONS

被引：0

作者：

吴舜堂 ^{[1
]}

机构：

[1] General Education Center, National Taipei University of Technology

来源：

Acta Mathematica Scientia(English Series) | 2015年 / 35卷 / 05期

关键词：

Balakrishnan-Taylor damping; global existence; general decay; relaxation function; viscoelastic equation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions imposed on the source and the damping, we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function.

引用

页码：981 / 994

页数：14

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