Eventual compactness for semiflows generated by nonlinear age-structured models
type: Item
instance of: scholarly article
title: Eventual compactness for semiflows generated by nonlinear age-structured models
zbMATH Open document ID: 1083.47061
author: Pierre Magal
author: Horst R. Thieme
published in: Communications on Pure and Applied Analysis
publication date: 2005-03-10T00:00:00Z
review text: The authors investigate the compactness of the semiflow generated by a semilinear evolution equation in a Banach space. They assume that the linear part of \(A\) is not necessarily densely defined and satisfies the known Hille-Yosida condition. The semigroup generated by the part of \(A\) in the closure of the domain \(D(A)\) is assumed to be compact. For illustration, an age-structured population model is provided.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 58D25
Mathematics Subject Classification ID: 47N60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2143213
zbMATH Keywords: Hille-Yosida operator
zbMATH Keywords: integrated solution
zbMATH Keywords: asymptotically smooth semiflow
zbMATH Keywords: attractor
zbMATH Keywords: age-structured model
MaRDI profile type: Publication
full work available at URL: cpaa.2004.3.695
OpenAlex ID: W2034853934
DOI: 10.3934/CPAA.2004.3.695
description: scientific article; zbMATH DE number 2143213