Strong decay for wave equations with nonlinear nonmonotone damping
โ Scribed by Eduard Feireisl
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 814 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H 1 0 (โฆ ) ร L 2 (โฆ ).
We present new oscillation criteria for a nonlinear second order differential equation with a damping term. An essential feature of our results is that we do not require the nonlinearity to be nondecreasing. Furthermore, as opposed to the ลฝ recent results by S.
## 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__(