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2018 General and optimal decay for a viscoelastic equation with boundary feedback
Salim A. Messaoudi, Waled Al-Khulaifi
Topol. Methods Nonlinear Anal. 51(2): 413-427 (2018). DOI: 10.12775/TMNA.2017.066

Abstract

We establish a general decay rate for a viscoelastic problem with a nonlinear boundary feedback and a relaxation function satisfying $g'(t) \leq - \xi(t) g^{p}(t)$, $t\geq 0$, $ 1\leq p < 3/2$. This work generalizes and improves earlier results in the literature. In particular those of [5], [11] and [17].

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Salim A. Messaoudi. Waled Al-Khulaifi. "General and optimal decay for a viscoelastic equation with boundary feedback." Topol. Methods Nonlinear Anal. 51 (2) 413 - 427, 2018. https://doi.org/10.12775/TMNA.2017.066

Information

Published: 2018
First available in Project Euclid: 24 April 2018

zbMATH: 06928842
MathSciNet: MR3829038
Digital Object Identifier: 10.12775/TMNA.2017.066

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.51 • No. 2 • 2018
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