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Lp Decay problem for the dissipative wave equation in even dimensions

✍ Scribed by Kosuke Ono

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
177 KB
Volume
27
Category
Article
ISSN
0170-4214

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πŸ“œ SIMILAR VOLUMES

On L1 decay problem for the dissipative
On L1 decay problem for the dissipative wave equation
✍ Kosuke Ono πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 117 KB

## Abstract We study the decay estimates of solutions to the Cauchy problem for the dissipative wave equation in one, two, and three dimensions. The representation formulas of the solutions provide the sharp decay rates on L^1^ norms and also L^__p__^ norms. Copyright Β© 2003 John Wiley & Sons, Ltd.

Energy decay estimates for the dissipati
Energy decay estimates for the dissipative wave equation with space–time dependent potential
✍ Jessica S. Kenigson; Jonathan J. Kenigson πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 209 KB

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

Energy decay for the wave equation with
Energy decay for the wave equation with boundary and localized dissipations in exterior domains
✍ Jeong Ja Bae; Mitsuhiro Nakao πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 186 KB

## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain Ξ© with the boundary βˆ‚Ξ© = Ξ“~0~ βˆͺ Ξ“~1~, Ξ“~0~ ∩ Ξ“~1~ = βˆ…οΈ. We impose the homogeneous Dirichlet condition on Ξ“~0~ and a dissipative Neumann condition on