Exponential stability of the plate equations with potential of second order and indefinite damping

被引:8
作者
Li, Jing [1 ]
Wu, Yingtao [1 ]
机构
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
关键词
Plate equation; Indefinite damping; Carleman estimate; Observability inequality; Exponential decay rate; WAVE-EQUATIONS; STABILIZATION;
D O I
10.1016/j.jmaa.2009.05.030
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the exponential stability of the plate equations with potential of second order and indefinite sign damping term. By means of a global Carleman-type estimate and the usual perturbation method, we show that the energy of the system decays exponentially provided that the negative damping is sufficiently small. Both the energy decay rate and the upper bound estimate on the negative damping are given explicitly. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:62 / 75
页数:14
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