Existence, uniqueness and uniform decay for the nonlinear beam degenerate equation with weak damping
โ Scribed by Silvano D.B. Menezes; Eliane A. de Oliveira; Ducival C. Pereira; Jorge Ferreira
- Book ID
- 108395924
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 226 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The aim of this work is to consider the Kortewegโde Vries equation in a finite interval with a very weak localized dissipation namely the __H__^โ1^โnorm. Our main result says that the total energy decays locally uniform at an exponential rate. Our analysis improves earlier works on the
## Abstract This paper is concerned with the nonโlinear viscoelastic equation We prove global existence of weak solutions. Furthermore, uniform decay rates of the energy are obtained assuming a strong damping ฮ__u~t~__ acting in the domain and provided the relaxation function decays exponentially.
## Abstract In this article we prove the existence of the solution to the mixed problem for EulerโBernoulli beam equation with memory term. The existence is proved by means of the FaedoโGalerkin method and the exponential decay is obtained by making use of the multiplier technique combined with int