Classes of time-dependent measures and the behavior of Feynman-Kac propagators
type: Item
instance of: scholarly article
title: Classes of time-dependent measures and the behavior of Feynman-Kac propagators
zbMATH Open document ID: 1020.31001
DOI: 10.1016/S1631-073X(02)02294-X
author: Archil Gulisashvili
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-09-09T00:00:00Z
review text: Potentials and measures from Kato class are well known and investigated. The author considers various generalizations of Kato class to the non-autonomous case. Solvability and uniqueness theorems for the heat equation with a time-dependent potential are obtained. \(L^p\)-\(L^q\) estimates for propagators are also proved.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 31B15
Mathematics Subject Classification ID: 47D08
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1754774
zbMATH Keywords: potentials
zbMATH Keywords: measures
zbMATH Keywords: Kato class
zbMATH Keywords: solvability
zbMATH Keywords: uniqueness
zbMATH Keywords: heat equation with a time-dependent potential
MaRDI profile type: Publication
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full work available at URL: s1631-073x(02)02294-x
OpenAlex ID: W2007754097
description: scientific article; zbMATH DE number 1754774