## 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 Wil
Beam evolution equation with variable coefficients
✍ Scribed by J. Límaco; H. R. Clark; A. J. Feitosa
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 159 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.577
No coin nor oath required. For personal study only.
✦ Synopsis
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 the existence and uniqueness of non-local strong solutions.
📜 SIMILAR VOLUMES
A method is presented for reconstructing an unknown coefficient in a linear diffusion equation from measured data. This equation arises in the description of coastline evolution, and preliminary results are presented here. The unknown term may vary with both space and time, although time variation i
Consider the delay differential equation xЈ t q p t x t y s 0, where p t g Žw . q . C t ,ϱ , R and is a positive constant. We obtain a sharp sufficient condition 0 for the oscillation of this equation, which improves previously known results.