Decay estimates for the damped wave equation with weighted odd initial data
β Scribed by T. Narazaki
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 145 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider the Euler-Bernoulli plate equation in a bounded open set of R 2 with a degenerated local damping term. This dissipation is e ective in a subset ! of and the damping coe cient may vanish in some subset of dimension one of !. We show that the usual observability inequality for the undamped
## 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__(
## Abstract A local energy decay problem is studied to a typical linear wave equation in an exterior domain. For this purpose, we do not assume any compactness of the support on the initial data. This generalizes a previous famous result due to Morawetz (__Comm. Pure Appl. Math__. 1961; **14**:561β
The paper considers a particular type of closed-loop for the wave equation in one space dimension with damping acting at an arbitrary internal point, for which the uniform stabilization with exponential decay rate is shown. Applications to chains of coupled strings are also discussed.