Exponential decay of solutions to a fourth-order viscoelastic evolution equation in Rn

Mohammad Kafini

Exponential decay of solutions to a fourth-order viscoelastic evolution equation in Rⁿ

Mohammad Kafini^*

^*Corresponding author for this work

Department of Mathematics

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

Abstract

In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Electronic Journal of Differential Equations
Volume	2010
State	Published - 2010

Keywords

Cauchy problem
Decay
Relaxation function
Viscoelastic

ASJC Scopus subject areas

Analysis

Cite this

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title = "Exponential decay of solutions to a fourth-order viscoelastic evolution equation in Rn",

abstract = "In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.",

keywords = "Cauchy problem, Decay, Relaxation function, Viscoelastic",

author = "Mohammad Kafini",

year = "2010",

language = "English",

volume = "2010",

pages = "1--10",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Exponential decay of solutions to a fourth-order viscoelastic evolution equation in Rn

AU - Kafini, Mohammad

PY - 2010

Y1 - 2010

N2 - In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.

AB - In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.

KW - Cauchy problem

KW - Decay

KW - Relaxation function

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/77955452630

M3 - Article

AN - SCOPUS:77955452630

SN - 1072-6691

VL - 2010

SP - 1

EP - 10

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations