Energy decay for the elastic wave equation with a local time-dependent nonlinear damping
β Scribed by Mourad Bellassoued
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 239 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1439-7617
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## Abstract In this paper we are concerned with a nonlinear viscoelastic equation with nonlinear damping. The general uniform decay of the energy is obtained. Copyright Β© 2008 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
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