Stabilization of a transmission wave/plate equation

被引：50

作者：

Ammari, Kais ^{[2
]}

Nicaise, Serge ^{[1
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, LAMAV, CNRS, FR 2956, F-59313 Le Mt Houy 9, Valenciennes, France

[2] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 03期

关键词：

Wave/plate equation; Transmission; Boundary stabilization; Multiplier; BOUNDARY STABILIZATION; WAVE-EQUATION; FEEDBACK; SINGULARITIES; REGULARITY; KIRCHHOFF; SYSTEM;

D O I：

10.1016/j.jde.2010.03.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a stabilization problem, for a model arising in the control of noise, coupling the damped wave equation with a damped Kirchhoff plate equation. We prove an exponential stability result under some geometric condition. Our method is based on an identity with multipliers that allows to show an appropriate energy estimate. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：707 / 727

页数：21

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