Regular attractors of semigroups and evolution equations
type: Item
instance of: scholarly article
title: Regular attractors of semigroups and evolution equations
zbMATH Open document ID: 0565.47045
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1983-01-01T00:00:00Z
review text: Let \(S=(S_ t)_{t\leq 0}\) be a strongly continuous semigroup of nonlinear operators on a Banach space E. In the paper sufficient conditions on S are given for the existence of a maximal attractor which can be represented as a finite union of instable manifolds. The abstract results are applied to nonlinear parabolic and hyperbolic equations.
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 58D07
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 3901501
zbMATH Keywords: strongly continuous semigroup of nonlinear operators on a Banach space
zbMATH Keywords: existence of a maximal attractor
zbMATH Keywords: finite union of instable manifolds
zbMATH Keywords: nonlinear parabolic and hyperbolic equations
author: Anatoli Babin
author: Mark Iosifovich Višik
reviewed by: Manfred P. H. Wolff
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3901501