Attractors for a class of abstract evolution equations with fading memory
type: Item
instance of: scholarly article
title: Attractors for a class of abstract evolution equations with fading memory
zbMATH Open document ID: 1426.35040
DOI: 10.1155/2017/1410408
author: Xuan Wang
author: Fenxia Duan
author: Didi Hu
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: In this paper, we study the dynamics of an abstract evolution equation with fading memory with a critical growing nonlinearity. By use of some new methods and asymptotic estimate techniques, we first verify the asymptotic compact of solution semigroup and then prove the existence of global attractors in weak topological space and strong topological space, while the forcing term only belongs to \(H^{- 1}(\Omega)\) or \(L^2(\Omega)\), respectively. The results are new and appear to be optimal.
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 37L30
zbMATH DE Number: 6971740
Wikidata QID: Q59147236
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1410408
OpenAlex ID: W2626329314
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description: scientific article; zbMATH DE number 6971740