Measure perturbations of Markovian semigroups
type: Item
instance of: scholarly article
title: Measure perturbations of Markovian semigroups
zbMATH Open document ID: 0945.60062
DOI: 10.1023/A:1008615732680
published in: Potential Analysis
publication date: 2000-10-11T00:00:00Z
review text: The paper contains the (close to) ultimate result on (signed) measure perturbations of generators of strongly continuous Markovian semigroups. No symmetry assumptions are needed. The paper makes use of advanced (but widely used) Markov process theory. Though the main tool is still the Feynman-Kac functional, a number of refinements in comparison with previous approaches are necessary such as e.g. defining generalized Kato classes in this non-symmetric set-up. Two sections are devoted to proving existence and uniqueness of solutions to the associated Schrödinger type equations after defining an appropriate notion of solution in this general situation.
Mathematics Subject Classification ID: 60J40
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60J57
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 1340234
zbMATH Keywords: Markov process
zbMATH Keywords: smooth measures
zbMATH Keywords: Feynman-Kac functional
zbMATH Keywords: Schrödinger equations
author: R. K. Getoor
MaRDI profile type: Publication
full work available at URL: a:1008615732680
OpenAlex ID: W3708761
description: scientific article; zbMATH DE number 1340234