Global attractors for a class of degenerate parabolic equations with memory
type: Item
instance of: scholarly article
title: Global attractors for a class of degenerate parabolic equations with memory
zbMATH Open document ID: 1503.35043
author: Shan Ma
author: Bo You
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-11-23T00:00:00Z
review text: Weighted equations which contain a degenerated term with the weighted coefficient \(a(x)\) and a memory term in a bounded domain \(\Omega\) with smooth boundary \(\partial\Omega\) are considered in this paper. The authors first investigate the existence and uniqueness of weak solutions to the initial-boundary value problem of the above-mentioned equation under suitable assumptions on the weight function \(a(x)\). Based on the existence and uniqueness of weak solutions, the existence of a global attractor is obtained. The main contribution of this paper is to extend some known results to cases with memory.
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 7622293
zbMATH Keywords: degenerate parabolic equations
zbMATH Keywords: week solutions
zbMATH Keywords: global attractors
zbMATH Keywords: memory term
MaRDI profile type: Publication
full work available at URL: dcdsb.2022157
OpenAlex ID: W4293576293
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DOI: 10.3934/DCDSB.2022157
description: scientific article; zbMATH DE number 7622293