On dimension of attractors of differential inclusions and reaction-diffusion equations
type: Item
instance of: scholarly article
title: On dimension of attractors of differential inclusions and reaction-diffusion equations
zbMATH Open document ID: 0963.37075
author: Francisco Balibrea
author: J. Valero
published in: Discrete and Continuous Dynamical Systems
publication date: 2000-08-16T00:00:00Z
review text: This paper deals with the large-time asymptotics of the semigroup generated by differential inclusions and reaction-diffusion equations. One of the main goals of this paper is to study finite-dimensionality of global attractors. The peculiarity of the problem under consideration is that the semigroup generated by a differential inclusion is not differentiable. Hence the authors improve several previous results for estimating the dimension of invariant sets, in order to apply them to global attractors of differential inclusions and reaction-diffusion equations with non-differentiable nonlinear term.
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 37L25
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 34G25
zbMATH DE Number: 1492582
zbMATH Keywords: differential inclusions
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: global attractor
zbMATH Keywords: non-differentiability of semigroups
zbMATH Keywords: finite dimension of attractor
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: dcds.1999.5.515
OpenAlex ID: W1987108474
DOI: 10.3934/DCDS.1999.5.515
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description: scientific article; zbMATH DE number 1492582