Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations
type: Item
instance of: scholarly article
title: Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations
zbMATH Open document ID: 1258.35037
DOI: 10.1155/2012/672762
author: Qiaozhen Ma
author: Yong-feng Liu
author: Fang-Hong Zhang
published in: Discrete Dynamics in Nature and Society
publication date: 2012-12-18T00:00:00Z
review text: Summary: We study the existence of global attractors for nonclassical diffusion equations in \(H^1(\mathbb R^N)\). The nonlinearity satisfies the arbitrary order polynomial growth conditions.
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 6116512
zbMATH Keywords: polynomial growth nonlinearity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/672762
OpenAlex ID: W1480684519
cites work: On the problem of diffusion in solids
cites work: Existence and uniqueness in nonclassical diffusion
cites work: Quasilinear Evolution Equations in Nonclassical Diffusion
cites work: Q5634306
cites work: Q3756642
cites work: Attractors for a nonclassical diffusion equation
cites work: Global attractors for a nonclassical diffusion equation
cites work: Q3373552
cites work: On the dynamics of a class of nonclassical parabolic equations
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: Q3530628
cites work: Q3630747
cites work: Attractors for reaction-diffusion equations in unbounded domains
cites work: Global attractors for damped semilinear wave equations.
cites work: Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains
cites work: Attractors in \(L^2(\mathbb{R}^N)\) for a class of reaction-diffusion equations
cites work: Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
cites work: On the strongly damped wave equation
cites work: Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
Wikidata QID: Q58700695
description: scientific article; zbMATH DE number 6116512