## Abstract We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in __H__×__L__^2^. This problem is dealt with in the two‐dimensional exterior domain with a star‐shaped complement. In our result,
Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity
✍ Scribed by Ruy C. Charão; Ryo Ikehata
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 373 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
## Abstract This paper is concerned with some uniform energy decay estimates of solutions to the linear wave equations with strong dissipation in the exterior domain case. We shall derive the decay rate such as $(1+t)E(t)\le C$\nopagenumbers\end for some kinds of weighted initial data, where __E__(
Here we are concerned about the stability of the solution of internally damped wave equation y Y s ⌬ y q ⌬ y X with small damping constant ) 0, in a bounded domain ⍀ in R n under mixed undamped boundary conditions. A uniform expo-Ž . y t Ž . nential energy decay rate E t F Me E 0 where M G 1 and