General and optimal decay for a quasilinear viscoelastic equation

Salim A. Messaoudi; Waled Al-Khulaifi

doi:10.1016/j.aml.2016.11.002

General and optimal decay for a quasilinear viscoelastic equation

Salim A. Messaoudi^*
, Waled Al-Khulaifi

^*Corresponding author for this work

Department of Mathematics

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

69 Scopus citations

Abstract

In this paper we establish a general decay rate for a quasilinear viscoelastic problem where the relaxation function satisfies g^′(t)≤−ξ(t)g^p(t),t≥0,1≤p<32. This work generalizes and improves earlier results in the literature.

Original language	English
Pages (from-to)	16-22
Number of pages	7
Journal	Applied Mathematics Letters
Volume	66
DOIs	https://doi.org/10.1016/j.aml.2016.11.002
State	Published - 1 Apr 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Ltd

Keywords

General decay
Optimal decay
Quasilinear wave equation
Relaxation function
Viscoelastic

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/j.aml.2016.11.002

Cite this

@article{6aa6ae0fce7841ec90419ee69c104ea6,

title = "General and optimal decay for a quasilinear viscoelastic equation",

abstract = "In this paper we establish a general decay rate for a quasilinear viscoelastic problem where the relaxation function satisfies g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. This work generalizes and improves earlier results in the literature.",

keywords = "General decay, Optimal decay, Quasilinear wave equation, Relaxation function, Viscoelastic",

author = "Messaoudi, \{Salim A.\} and Waled Al-Khulaifi",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2017",

month = apr,

day = "1",

doi = "10.1016/j.aml.2016.11.002",

language = "English",

volume = "66",

pages = "16--22",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

}

TY - JOUR

T1 - General and optimal decay for a quasilinear viscoelastic equation

AU - Messaoudi, Salim A.

AU - Al-Khulaifi, Waled

PY - 2017/4/1

Y1 - 2017/4/1

N2 - In this paper we establish a general decay rate for a quasilinear viscoelastic problem where the relaxation function satisfies g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. This work generalizes and improves earlier results in the literature.

AB - In this paper we establish a general decay rate for a quasilinear viscoelastic problem where the relaxation function satisfies g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. This work generalizes and improves earlier results in the literature.

KW - General decay

KW - Optimal decay

KW - Quasilinear wave equation

KW - Relaxation function

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84997284013

U2 - 10.1016/j.aml.2016.11.002

DO - 10.1016/j.aml.2016.11.002

M3 - Article

AN - SCOPUS:84997284013

SN - 0893-9659

VL - 66

SP - 16

EP - 22

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

General and optimal decay for a quasilinear viscoelastic equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this