Exponential decay for a viscoelastic problem with a singular kernel

Nasser Eddine Tatar

doi:10.1007/s00033-008-8030-1

Exponential decay for a viscoelastic problem with a singular kernel

Nasser Eddine Tatar^*

^*Corresponding author for this work

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

38 Scopus citations

Abstract

In this paper we consider a problem which arises in viscoelasticity. We prove exponential decay of solutions for the problem with a memory term involving a kernel which is singular at zero. This is established by introducing an appropriate Lyapunov type functional and using the energy method. This work extends earlier results.

Original language	English
Pages (from-to)	640-650
Number of pages	11
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	60
Issue number	4
DOIs	https://doi.org/10.1007/s00033-008-8030-1
State	Published - 2009

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
Applied Mathematics

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abstract = "In this paper we consider a problem which arises in viscoelasticity. We prove exponential decay of solutions for the problem with a memory term involving a kernel which is singular at zero. This is established by introducing an appropriate Lyapunov type functional and using the energy method. This work extends earlier results.",

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Exponential decay for a viscoelastic problem with a singular kernel

Abstract

ASJC Scopus subject areas

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