Decay of energy for wave equations with strong damping terms and space–time-dependent coefficients
✍ Scribed by Carter, Andrew; Long, Terence; Uǧurlu, Davut
- Book ID
- 126846612
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 218 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0003-6811
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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__(
We study the asymptotic behavior of solutions of dissipative wave equations with space-time-dependent potential. When the potential is only time-dependent, Fourier analysis is a useful tool to derive sharp decay estimates for solutions. When the potential is only space-dependent, a powerful techniqu