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Global existence and uniform stability of solutions for a quasilinear viscoelastic problem

✍ Scribed by Salim A. Messaoudi; Nasser-eddine Tatar

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
151 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper the nonlinear viscoelastic wave equation in canonical form
equation image
with Dirichlet boundary condition is considered. By introducing a new functional and using the potential well method, we show that the damping induced by the viscoelastic term is enough to ensure global existence and uniform decay of solutions provided that the initial data are in some stable set. Copyright Β© 2006 John Wiley & Sons, Ltd.

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