Exponential stability for a plate equation with p-Laplacian and memory terms
β Scribed by D. Andrade; M. A. Jorge Silva; T. F. Ma
- Book ID
- 112143638
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 155 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1552
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π SIMILAR VOLUMES
In this paper, we deal with the extinction of solutions of the initial-boundary value problem of the p-Laplacian equation u t = div(|βu| p-2 βu) + Ξ»u q in a bounded domain of R N with N β₯ 2. For 1 < p < 2, we show that q = p -1 is the critical exponent of extinction for the weak solution. Furthermor
We consider a von Karman plate equation with a boundary memory condition. We prove the existence of solutions using the Galerkin method and then investigate the asymptotic behaviour of the corresponding solutions by choosing suitable Lyapunov functional.
## Abstract In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the beam equation with memory and weak damping where ${\hat{Q}}$ is a nonβcylindrical domains of β^__n__+1^ (__n__β©Ύ1) with the lateral boundary ${\hat{\sum}}$ and Ξ± is a posit