𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability for the beam equation with memory in non-cylindrical domains

✍ Scribed by J. Ferreira; M. L. Santos; M. P. Matos

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
132 KB
Volume
27
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

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^ (nβ©Ύ1) with the lateral boundary ${\hat{\sum}}$ and Ξ± is a positive constant. Copyright Β© 2004 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Beam evolution equation with variable co
Beam evolution equation with variable coefficients in non-cylindrical domains
✍ C. S. Q. De Caldas; J. LΓ­maco; R. K. Barreto πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 197 KB

## 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 Β© 2007 John Wil

The Dirichlet problem for second order p
The Dirichlet problem for second order parabolic operators in non-cylindrical domains
✍ Roberto Argiolas; Anna Piro Grimaldi πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 254 KB

## Abstract In this paper we develope a perturbation theory for second order parabolic operators in non‐divergence form. In particular we study the solvability of the Dirichlet problem in non cylindrical domains with __L^p^__ ‐data on the parabolic boundary (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA,

On the Dirichlet Problem for the Nonline
On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
✍ Ugur G Abdulla πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 154 KB

We study the Dirichlet problem for the parabolic equation u t = u m m > 0, in a bounded, non-cylindrical and non-smooth domain βŠ‚ N+1 N β‰₯ 2. Existence and boundary regularity results are established. We introduce a notion of parabolic modulus of left-lower (or left-upper) semicontinuity at the points

A boundary condition with memory for the
A boundary condition with memory for the Kirchhoff plate equations with non-linear dissipation
✍ Jong-Yeoul Park; Jum-Ran Kang πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 132 KB πŸ‘ 1 views

## Abstract This paper is concerned with the existence of solutions for the Kirchhoff plate equation with a memory condition at the boundary. We show the exponential decay to the solution, provided the relaxation function also decays exponentially. Copyright Β© 2005 John Wiley & Sons, Ltd.