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Exponential decay for a quasilinear viscoelastic equation

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

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
113 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider the following nonlinear viscoelastic equation
equation image
together with Dirichlet‐boundary conditions, in a bounded domain Ξ© and ρ > 0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual relation between g and its derivative (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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