GENERAL DECAY ESTIMATES FOR A CAUCHY VISCOELASTIC WAVE PROBLEM

被引：8

作者：

Said-Houari, Belkacem ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

机构：

[1] ALHOSN Univ, Math & Nat Sci Dept, Abu Dhabi 38772, U Arab Emirates

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 3126, Saudi Arabia

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2014年 / 13卷 / 04期

关键词：

Viscoelastic wave equation; decay; rate; damping; general estimate; ASYMPTOTIC STABILITY; VOLTERRA EQUATION; ENERGY; SYSTEMS; EXISTENCE; BEHAVIOR; MEMORY; RATES;

D O I：

10.3934/cpaa.2014.13.1541

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem of a viscoelatic wave equation and by using the energy method in the Fourier space, we show general decay estimates of the solution. This result improves and generalizes some other results in the literature.

引用

页码：1541 / 1551

页数：11

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