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Existence and uniform decay for a non-linear viscoelastic equation with strong damping

✍ Scribed by M. M. Cavalcanti; V. N. Domingos Cavalcanti; J. Ferreira

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 106 KB
Volume: 24
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.250

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✦ Synopsis

Abstract

This paper is concerned with the non‐linear viscoelastic equation

We prove global existence of weak solutions. Furthermore, uniform decay rates of the energy are obtained assuming a strong damping Δ__u~t~__ acting in the domain and provided the relaxation function decays exponentially. Copyright © 2001 John Wiley & Sons, Ltd.

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