On the Asymptotic Stability of Wave Equations Coupled by Velocities of Anti-symmetric Type

被引：2
|
作者：
Cui, Yan [1 ]
Wang, Zhiqiang [2 ,3 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2021年 / 42卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Wave equations; Coupled by velocities; Logarithmic stability; ENERGY DECAY; HYPERBOLIC-EQUATIONS; EXPONENTIAL DECAY; STABILIZATION; SYSTEM; RATES;
D O I：
10.1007/s11401-021-0293-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors study the asymptotic stability of two wave equations coupled by velocities of anti-symmetric type via only one damping. They adopt the frequency domain method to prove that the system with smooth initial data is logarithmically stable, provided that the coupling domain and the damping domain intersect each other. Moreover, they show, by an example, that this geometric assumption of the intersection is necessary for 1-D case.
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页码：813 / 832
页数：20
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