Harmonic spaces associated with parabolic and elliptic differential operators
type: Item
instance of: scholarly article
title: Harmonic spaces associated with parabolic and elliptic differential operators
zbMATH Open document ID: 0664.31011
DOI: 10.1007/BF01455064
author: Pawel Kröger
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164608
review text: The aim of the article is to construct harmonic spaces (Bauer and Brelot spaces) which are associated with linear parabolic and elliptic differential operators of second order in nondivergence form under weak assumptions on the coefficients. The results are formulated in terms of diffusion processes. They are obtained using probabilistic technics (martingale approach to diffusion processes, limit theorem etc.) and Krylov's Harnack inequality for parabolic and elliptic equations.
Mathematics Subject Classification ID: 31D05
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 31B35
zbMATH DE Number: 4086027
zbMATH Keywords: harmonic spaces
zbMATH Keywords: linear parabolic and elliptic differential operators
zbMATH Keywords: diffusion processes
zbMATH Keywords: probabilistic technics
zbMATH Keywords: martingale approach
zbMATH Keywords: Krylov's Harnack inequality
MaRDI profile type: Publication
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OpenAlex ID: W130236861
description: scientific article; zbMATH DE number 4086027