ASYMPTOTIC STABILITY OF WAVE EQUATIONS COUPLED BY VELOCITIES

被引：7

作者：

Cui, Yan ^{[1
]}

Wang, Zhiqiang ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2016年 / 6卷 / 03期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Wave equation; coupled system; asymptotic stability; STABILIZATION; SYSTEM;

D O I：

10.3934/mcrf.2016010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to study the asymptotic stability of wave equations with constant coefficients coupled by velocities. By using Riesz basis approach, multiplier method and frequency domain approach respectively, we find the sufficient and necessary condition, that the coefficients satisfy, leading to the exponential stability of the system. In addition, we give the optimal decay rate in one dimensional case.

引用

页码：429 / 446

页数：18

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