Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$

Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$

Year:    2020

Author:    A. Beniani, Kh. Zennir, Abbes Benaissa

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2017-0066

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 89–98

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Viscoelastic wave equation Fourier transform Lyapunov functions Decay rates.

Author Details

A. Beniani

Kh. Zennir

Abbes Benaissa

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    Djeradi, Fatima Siham

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    https://doi.org/10.3934/math.2024337 [Citations: 0]