We investigate a initial-boundary value problem for the nonlinear beam equation with variable coefÿcients on the action of a linear internal damping. We show the existence of a unique global weak solution and that the energy associated with this solution has a rate decay estimate. Besides, we prove
Beam evolution equation with variable coefficients in non-cylindrical domains
✍ Scribed by C. S. Q. De Caldas; J. Límaco; R. K. Barreto
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 197 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.912
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✦ Synopsis
Abstract
In this article, we present results concerning with the existence of global solutions and a rate decay estimate for energy associated with an initial and boundary value problem for a beam evolution equation with variable coefficients in non‐cylindrical domains. Copyright © 2007 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## 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 non‐cylindrical domains of ℝ^__n__+1^ (__n__⩾1) with the lateral boundary ${\hat{\sum}}$ and α is a posit