High Energy Decay Estimates for Waves in a Locally Perturbed Medium
โ Scribed by D.W. Pravica
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 797 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain ฮฉ with the boundary โฮฉ = ฮ~0~ โช ฮ~1~, ฮ~0~ โฉ ฮ~1~ = โ ๏ธ. We impose the homogeneous Dirichlet condition on ฮ~0~ and a dissipative Neumann condition on
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