Semigroup approach to the question of stability for a partial differential equation with hysteresis
type: Item
instance of: scholarly article
title: Semigroup approach to the question of stability for a partial differential equation with hysteresis
zbMATH Open document ID: 0915.35014
author: Jana Kopfová
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-07-07T00:00:00Z
review text: The author is concerned with the asymptotic behavior in the \(L^1(\Omega)\)-norm of the solutions to partial differential equations with hysteresis (PDEH). The method here is the semigroup approach in \(L^1(\Omega)\). One reduces the PDEH to a first-order differential equation associated with m-accretive operators in \(L^1(\Omega)\), whose solution can be expressed in terms of nonlinear semigroups. The results are interesting, and most of their proof is not routine.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 1215673
zbMATH Keywords: m-accretive operators
reviewed by: N. H. Pavel
MaRDI profile type: Publication
Wikidata QID: Q115395399
full work available at URL: jmaa.1998.5977
OpenAlex ID: W2017470433
cites work: Q4040640
cites work: Asymptotic stability for nonlinear PDEs with hysteresis
cites work: Q3994579
cites work: Q4692955
cites work: Q3800620
cites work: Q4288483
cites work: Q3804309
DOI: 10.1006/JMAA.1998.5977
description: scientific article; zbMATH DE number 1215673