Frequency domain approach for the polynomial stability of a system of partially damped wave equations

被引：49

作者：

Liu, Zhuangyi ^{[1
]}

Rao, Bopeng

机构：

[1] Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 USA

[2] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 02期

关键词：

indirect damping; polynomial decay rate; frequency domain;

D O I：

10.1016/j.jmaa.2007.02.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stability of a system of wave equations which are weakly coupled and partially damped. Using a frequency domain approach based on the growth of the resolvent on the imaginary axis, we establish the polynomial energy decay rate for smooth initial data. We show that the behavior of the system is sensitive to the arithmetic property of the ratio of the wave propagation speeds of the two equations. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：860 / 881

页数：22

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