Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains
type: Item
instance of: scholarly article
title: Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains
zbMATH Open document ID: 1140.60038
author: Panki Kim
author: Renming Song
published in: Mathematische Annalen
publication date: 2008-04-03T00:00:00Z
review text: The main purpose of this paper is to prove a scale invariant boundary Harnack principle in bounded Lipschitz domains, for diffusions with measure valued drifts. It is also proved that the Martin boundary and the minimal Martin boundary coincide with the Euclidean boundary. These results generalize the corresponding results of \textit{L. Caffarelli, E. Fabes, S. Mortola} and \textit{S. Salsa} [Indiana Univ. Math. J. 30, 621--640 (1981; Zbl 0512.35038)] and of \textit{E. Fabes, N. Garofalo, S. Marin-Malave} and \textit{S. Salsa} [Rev. Mat. Iberoam. 4, No.~2, 227--251 (1988; Zbl 0703.35058)].
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 31C35
zbMATH DE Number: 5258733
zbMATH Keywords: Martin boundary
zbMATH Keywords: Brownian motion
zbMATH Keywords: boundary Harnack principle
reviewed by: Liliana Popa
MaRDI profile type: Publication
full work available at URL: s00208-007-0110-6
OpenAlex ID: W2161151990
Wikidata QID: Q126245059
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DOI: 10.1007/S00208-007-0110-6
description: scientific article