Energy decay estimates for the damped plate equation with a local degenerated dissipation

被引：0
|
作者：
Guzmán, RB [1 ]
Tuesnak, M
机构：
[1] Univ Fed Rio de Janeiro, BR-22453 Rio De Janeiro, Brazil
[2] Univ Nancy 1, F-54506 Vandoeuvre Les Nancy, France
来源：
SYSTEMS & CONTROL LETTERS | 2003年 / 48卷 / 3-4期
关键词：
interior damping; singular coefficient; observability inequality; WAVE-EQUATION; SCHRODINGER-EQUATION; SYSTEMS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the Euler-Bernoulli plate equation in a bounded open Set Omega of R-2 with a degenerated local damping term. This dissipation is effective in a subset omega of Omega and the damping coefficient may vanish in some subset of dimension one of omega. We show that the usual observability inequality for the undamped problem implies polynomial decay estimates for the damped problem. Our method can be applied for other PDE's such as the wave equation or the Schrodinger equation. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：191 / 197
页数：7
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