Random attractors for stochastic reaction-diffusion equations with multiplicative noise in \(H_0^1\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1332.37058
author: Yanbin Tang
author: Gang Wang
published in: Mathematische Nachrichten
publication date: 2014-11-12T00:00:00Z
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 6368943
zbMATH Keywords: random attractor
zbMATH Keywords: stochastic reaction-diffusion equation
zbMATH Keywords: random dynamical system
zbMATH Keywords: multiplicative noise in \(H_0^1\)
MaRDI profile type: Publication
full work available at URL: mana.201300114
OpenAlex ID: W1803680436
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DOI: 10.1002/MANA.201300114
title: Random attractors for stochastic reaction-diffusion equations with multiplicative noise in \(H_0^1\)
review text: The existence of a random \((L^2,H_0^1)\)-pullback set attractor for the random dynamical system (RDS) induced by a stochastic reaction-diffusion equation with a scalar multiplicative Wiener process in the Stratonovich sense is established. This is achieved by proving the existence of sufficiently big absorbing random balls together with the asymptotic compactness of the RDS, both for tempered bounded sets.
reviewed by: Hans Crauel
description: scientific article; zbMATH DE number 6368943