Spring 2022 General decay rate for an abstract weakly dissipative Moore–Gibson–Thompson equation
Jamilu Hashim Hassan, Salim A. Messaoudi
J. Integral Equations Applications 34(1): 75-91 (Spring 2022). DOI: 10.1216/jie.2022.34.75

Abstract

In this paper we study an abstract class of weakly dissipative Moore–Gibson–Thompson equation with finite memory. We establish a general decay rate for the solution of the system under some appropriate conditions on the relaxation function.

Citation

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Jamilu Hashim Hassan. Salim A. Messaoudi. "General decay rate for an abstract weakly dissipative Moore–Gibson–Thompson equation." J. Integral Equations Applications 34 (1) 75 - 91, Spring 2022. https://doi.org/10.1216/jie.2022.34.75

Information

Received: 18 November 2019; Revised: 10 June 2021; Accepted: 21 June 2021; Published: Spring 2022
First available in Project Euclid: 11 April 2022

MathSciNet: MR4406236
zbMATH: 1491.35039
Digital Object Identifier: 10.1216/jie.2022.34.75

Subjects:
Primary: 35L90
Secondary: 34G10 , 35B40 , 45K05

Keywords: general decay , Moore–Gibson–Thompson equation , viscoelastic , weakly dissipative system

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.34 • No. 1 • Spring 2022
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