We derive a fast decay estimate for the wave equation with a local degenerate dissipation of the type a(x)u t in a bounded domain Ω. The dissipative coefficient a(x) is a nonnegative function only on a neighborhood of some part of the boundary ∂Ω and may vanish somewhere in Ω. The results obtained e
Energy decay estimates for the Bernoulli–Euler-type equation with a local degenerate dissipation
✍ Scribed by Jong Yeoul Park; Jum Ran Kang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 268 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we study the decay property of the solutions to the Bernoulli-Euler-type equation with a local degenerate dissipation.
📜 SIMILAR VOLUMES
## Abstract In this paper, we study decay properties of solutions to the wave equation of p‐Laplacian type with a weak dissipation of m‐Laplacian type. Copyright © 2006 John Wiley & Sons, Ltd.
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
## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain Ω with the boundary ∂Ω = Γ~0~ ∪ Γ~1~, Γ~0~ ∩ Γ~1~ = ∅︁. We impose the homogeneous Dirichlet condition on Γ~0~ and a dissipative Neumann condition on