Translator Disclaimer
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

Download Citation

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

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

JOURNAL ARTICLE
17 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.34 • No. 1 • Spring 2022
Back to Top