Inertial manifolds for stochastic PDE with dynamical boundary conditions
type: Item
instance of: scholarly article
title: Inertial manifolds for stochastic PDE with dynamical boundary conditions
zbMATH Open document ID: 1247.37085
author: Peter Brune
author: Björn Schmalfuss
published in: Communications on Pure and Applied Analysis
publication date: 2011-12-19T00:00:00Z
review text: In this paper, the authors investigate the dynamics of stochastic parabolic equations with dynamical boundary conditions defined in a smooth bounded domain in \(\mathbb R^n\). Under certain conditions, the authors first establish the existence of a random dynamical system for the equations, and then construct a random inertial manifold. The differentiability of the inertial manifold is also proved under additional assumptions on the nonlinearity.
reviewed by: Bixiang Wang
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35B42
zbMATH DE Number: 5989636
zbMATH Keywords: random dynamical systems
zbMATH Keywords: inertial manifolds
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: dynamical boundary conditions
MaRDI profile type: Publication
full work available at URL: cpaa.2011.10.831
OpenAlex ID: W2326865445
DOI: 10.3934/CPAA.2011.10.831
description: scientific article; zbMATH DE number 5989636