Here we are concerned about the stability of the solution of internally damped wave equation y Y s โฌ y q โฌ y X with small damping constant ) 0, in a bounded domain โ in R n under mixed undamped boundary conditions. A uniform expo-ลฝ . yโค t ลฝ . nential energy decay rate E t F Me E 0 where M G 1 and โค
Exponential decay domain of energy for wave equation under feedback control
โ Scribed by Zhang Weitao; Feng Dexing
- Book ID
- 110611729
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1999
- Tongue
- English
- Weight
- 340 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the Kirchhoff wave equation with nonlocal condition and weak damping /: where Q is a noncylindrieal domain of IR n+l (n \_> 1) with the lateral boundary E and a is a positive constant.
We consider a wave equation with dynamical control. We first establish the rational energy decay rate using a multiplier method. Next, using a spectrum method, we prove that the rational energy decay rate is optimal. (~) 2003 Elsevier Science Ltd. All rights reserved.