Absolute continuity of stable foliations for systems on Banach spaces
type: Item
instance of: scholarly article
title: Absolute continuity of stable foliations for systems on Banach spaces
zbMATH Open document ID: 1290.37032
author: Zeng Lian
author: Lai-Sang Young
author: Chongchun Zeng
published in: Journal of Differential Equations
publication date: 2012-11-22T00:00:00Z
review text: The main result of the paper is the absolute continuity of stable foliations for \(C^{1, \alpha}\) maps of Banach spaces, satisfying a globally defined infinitesimal invariant cones condition. The authors also prove existence and regularity for center and stable manifolds under technical assumptions, needed for the main theorem. The results can be applied to infinite-dimensional dynamical systems generated by ordinary, partial or functional differential equations. Some examples of differential equations are provided. The proofs are based on graph transform methods.
Mathematics Subject Classification ID: 37L10
Mathematics Subject Classification ID: 37L15
zbMATH DE Number: 6109883
zbMATH Keywords: stable manifolds
zbMATH Keywords: infinitesimal invariant cones
zbMATH Keywords: infinite-dimensional dynamical systems
reviewed by: Natalia Bondarenko
MaRDI profile type: Publication
full work available at URL: j.jde.2012.08.021
OpenAlex ID: W1977685632
DOI: 10.1016/J.JDE.2012.08.021
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description: scientific article; zbMATH DE number 6109883