Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation
type: Item
instance of: scholarly article
title: Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation
zbMATH Open document ID: 1201.60062
author: Viorel Barbu
author: Guiseppe Da Prato
published in: Stochastic Processes and their Applications
publication date: 2010-07-08T00:00:00Z
review text: The authors deal with the transition semigroup associated with the fast diffusion equation in a bounded domain of \(\mathbb{R}^d\), perturbed by a Gaussian noise and prove the existence of an invariant measure. They also study the Kolmogorov infinitesimal generator and study the respective Sobolev space.
reviewed by: Alexander I. Zejfman
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 5732050
zbMATH Keywords: fast diffusion equation
zbMATH Keywords: invariant measure
zbMATH Keywords: Kolmogorov equations
zbMATH Keywords: Sobolev space
MaRDI profile type: Publication
full work available at URL: j.spa.2010.03.007
OpenAlex ID: W2061987395
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DOI: 10.1016/J.SPA.2010.03.007
description: scientific article; zbMATH DE number 5732050