Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping

被引：17
|
作者：
Ammari, Kais [1 ]
Nicaise, Serge [2 ]
Pignotti, Cristina [3 ]
机构：
[1] Univ Monastir, Fac Sci Monastir, Dept Math, UR Anal & Control Pde,UR 13ES64, Monastir 5019, Tunisia
[2] Univ Valenciennes & Hainaut Cambresis, CNRS, FR 2956, LAMAV, Valenciennes, France
[3] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, I-67100 Laquila, Italy
来源：
ASYMPTOTIC ANALYSIS | 2015年 / 95卷 / 1-2期
关键词：
internal stabilization; Kelvin-Voigt damping; abstract wave equation with delay; FEEDBACK STABILIZATION; EVOLUTION-EQUATIONS; TIME DELAYS; BOUNDARY; INSTABILITY; RESPECT; SYSTEMS;
D O I：
10.3233/ASY-151317
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a stabilization problem for an abstract wave equation with delay and a Kelvin-Voigt damping. We prove an exponential stability result for appropriate damping coefficients. The proof of the main result is based on a frequency-domain approach.
引用
收藏
页码：21 / 38
页数：18
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