Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory
type: Item
instance of: scholarly article
title: Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory
zbMATH Open document ID: 1484.35061
DOI: 10.4171/PM/2074
author: Serge Nicaise
author: Hizia Bounadja
published in: Portugaliae Mathematica. Nova Série
publication date: 2022-02-22T00:00:00Z
review text: Summary: We consider the well-posedness and the long time behavior of the Moore-Gibson-Thompson equation with memory in the critical case. We first find general sufficient conditions that guarantee a (optimal) polynomial decay of the system. Then by comparing the behavior of the resolvent of the Moore-Gibson-Thompson system with the one of the resolvent of the wave equation with a frictional interior damping, we furnish a stronger polynomial decay of the solution.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35G16
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 7478510
zbMATH Keywords: Moore-Gibson-Thompson equation
zbMATH Keywords: memory kernel
zbMATH Keywords: polynomial stability
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7478510