Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach
type: Item
instance of: scholarly article
title: Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach
zbMATH Open document ID: 1111.47064
author: Hiroshi Kawabi
author: Michael Röckner
published in: Journal of Functional Analysis
publication date: 2007-01-16T00:00:00Z
full work available at URL: http://hdl.handle.net/2324/11864
review text: Let \(\mu\) be a Gibbs measure on the continuous path space \(C(\mathbb R; \mathbb R^d)\). By using an SPDE approach, the authors proved the essential self-adjointment (or the uniqueness) of a class of nonlinear perturbations for the Ornstein--Uhlenbeck operator.
reviewed by: Feng-Yu Wang
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 81S20
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 81S40
zbMATH DE Number: 5116372
zbMATH Keywords: essential self-adjointness
zbMATH Keywords: Dirichlet operators
zbMATH Keywords: Gibbs measure
zbMATH Keywords: path space
zbMATH Keywords: SPDE
zbMATH Keywords: \(p(\phi)_{1}\)-quantum fields
MaRDI profile type: Publication
OpenAlex ID: W2049555706
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DOI: 10.1016/J.JFA.2006.06.017
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description: scientific article; zbMATH DE number 5116372