Exponential or polynomial decay of solutions to a viscoelastic equation with nonlinear localized damping

被引：13

作者：

Liu W. ^{[1
]}

机构：

[1] College of Mathematics and Physics, Nanjing University of Information Science and Technology

来源：

Journal of Applied Mathematics and Computing | 2010年 / 32卷 / 1期

关键词：

Exponential decay; Nonlinear localized damping; Polynomial decay; Relaxation function;

D O I：

10.1007/s12190-009-0232-y

中图分类号：

学科分类号：

摘要：

We consider the nonlinear viscoelastic equation u tt-Δ u+∫ 0 tg(t-τ)Δ u(τ)dτ +a(x)|u t| mu t+b|u| γu=0 in a bounded domain and establish exponential or polynomial decay result which depend on the rate of the decay of the relaxation function g. This result improves an earlier one given by Berrimi and Messaoudi (Electron. J. Differ. Equ. (88):1-10, 2004). © 2009 Korean Society for Computational and Applied Mathematics.

引用

页码：59 / 68

页数：9

共 21 条

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