Decay of solutions of wave equations in a bounded region with boundary dissipation
โ Scribed by John Lagnese
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 802 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0022-0396
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๐ SIMILAR VOLUMES
## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain ฮฉ with the boundary โฮฉ = ฮ~0~ โช ฮ~1~, ฮ~0~ โฉ ฮ~1~ = โ ๏ธ. We impose the homogeneous Dirichlet condition on ฮ~0~ and a dissipative Neumann condition on
We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc