General and optimal decay for a viscoelastic equation with boundary feedback

Salim A. Messaoudi; Waled Al-Khulaifi

doi:10.12775/TMNA.2017.066

General and optimal decay for a viscoelastic equation with boundary feedback

Salim A. Messaoudi, Waled Al-Khulaifi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We establish a general decay rate for a viscoelastic problem with a nonlinear boundary feedback and a relaxation function satisfying g ^′ (t) ≤ −ξ(t)g ^p (t), t ≥ 0, 1 ≤ p < 3/2. This work generalizes and improves earlier results in the literature. In particular those of [5], [11] and [17].

Original language	English
Pages (from-to)	413-427
Number of pages	15
Journal	Topological Methods in Nonlinear Analysis
Volume	51
Issue number	2
DOIs	https://doi.org/10.12775/TMNA.2017.066
State	Published - Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 Juliusz Shauder Centre for Nonlinear Studies Niolaus Copernius University.

Keywords

Boundary feedback
General decay
Optimal decay
Relaxation function
Viscoelastic

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.12775/TMNA.2017.066

Cite this

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abstract = " We establish a general decay rate for a viscoelastic problem with a nonlinear boundary feedback and a relaxation function satisfying g ′ (t) ≤ −ξ(t)g p (t), t ≥ 0, 1 ≤ 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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AB - We establish a general decay rate for a viscoelastic problem with a nonlinear boundary feedback and a relaxation function satisfying g ′ (t) ≤ −ξ(t)g p (t), t ≥ 0, 1 ≤ 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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KW - Optimal decay

KW - Relaxation function

KW - Viscoelastic

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General and optimal decay for a viscoelastic equation with boundary feedback

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this