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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 2008
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
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General decay of solutions of a viscoelastic equation

Authors: Salim A. Messaoudi;

General decay of solutions of a viscoelastic equation

Abstract

AbstractIn this paper we consider the following viscoelastic equation:utt−Δu+∫0tg(t−τ)Δu(τ)dτ=0, in a bounded domain, and establish a general decay result which is not necessarily of exponential or polynomial type. This work generalizes and improves earlier results in the literature.

Keywords

Viscoelastic, Applied Mathematics, General decay, Relaxation function, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
244
Top 1%
Top 1%
Top 10%
hybrid