GENERAL DECAY FOR A QUASILINEAR SYSTEM OF VISCOELASTIC EQUATIONS WITH NONLINEAR DAMPING

被引：0

作者：

Park, Jong Yeoul ^{[1
]}

Park, Sun Hye ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

general decay; coupled quasilinear equations; viscoelastic equations; perturbed energy method; UNIFORM DECAY; GLOBAL NONEXISTENCE; WAVE-EQUATION; SOURCE TERMS; EXISTENCE; ENERGY; RATES; BOUNDARY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a system of coupled quasilinear viscoelastic equations with nonlinear damping. We use the perturbed energy method to show the general decay rate estimates of energy of solutions, which extends some existing results concerning a general decay for a single equation to the case of system, and a nonlinear system of viscoelastic wave equations to a quasilinear system.

引用

页码：1321 / 1332

页数：12

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