Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$
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@Article{ATA-36-89,
author = {Beniani , A.Zennir , Kh. and Benaissa , Abbes},
title = {Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {1},
pages = {89--98},
abstract = {
The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structural $\delta$-evolution models. By using the energy method in the Fourier spaces, we obtain the decay estimates of the solution to considered problem.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0066}, url = {http://global-sci.org/intro/article_detail/ata/16916.html} }
TY - JOUR
T1 - Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$
AU - Beniani , A.
AU - Zennir , Kh.
AU - Benaissa , Abbes
JO - Analysis in Theory and Applications
VL - 1
SP - 89
EP - 98
PY - 2020
DA - 2020/05
SN - 36
DO - http://doi.org/10.4208/ata.OA-2017-0066
UR - https://global-sci.org/intro/article_detail/ata/16916.html
KW - Viscoelastic wave equation, Fourier transform, Lyapunov functions, Decay rates.
AB -
The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structural $\delta$-evolution models. By using the energy method in the Fourier spaces, we obtain the decay estimates of the solution to considered problem.
A. Beniani, Kh. Zennir & Abbes Benaissa. (2020). Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$.
Analysis in Theory and Applications. 36 (1).
89-98.
doi:10.4208/ata.OA-2017-0066
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