Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium
type: Item
instance of: scholarly article
title: Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium
zbMATH Open document ID: 1242.35159
author: Mitsuharu Ôtani
author: Messoud Efendiev
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2011-10-10T00:00:00Z
review text: The authors study the global attractors for a class of \(p\)-Laplacian parabolic equations in a heterogeneous medium. Not only the existence but also the infinite dimensionality of the global attractors is presented by showing that their \(\varepsilon \)-Kolmogorov entropy behaves as a polynomial of the variable \(1/\varepsilon \) as \(\varepsilon\) tends to zero, which is not observed for non-degenerate parabolic equations. The upper and lower bounds for the \(\varepsilon \)-Kolmogorov entropy of infinite-dimensional attractors are also obtained.
reviewed by: Yuanyuan Ke
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35B41
zbMATH DE Number: 5956010
zbMATH Keywords: degenerate
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: infinite-dimensional
zbMATH Keywords: parabolic
zbMATH Keywords: heterogeneous medium
zbMATH Keywords: \(\varepsilon \)-Kolmogorov entropy
MaRDI profile type: Publication
full work available at URL: j.anihpc.2011.03.006
OpenAlex ID: W1973128998
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DOI: 10.1016/J.ANIHPC.2011.03.006
description: scientific article; zbMATH DE number 5956010