Density of extremal measures in parabolic potential theory
type: Item
instance of: scholarly article
title: Density of extremal measures in parabolic potential theory
zbMATH Open document ID: 1191.31003
published in: Mathematische Annalen
publication date: 2009-09-25T00:00:00Z
review text: The authors prove that, for the heat equation on \(\mathbb{R}^d\times \mathbb{R}\), any convex combination of harmonic measures \(\mu_{x}^{U_1} , \dots , \mu_{x}^{U_k}\), where \(U_1, \dots , U_k\) are relatively compact open neighborhoods of a given point \(x\), can be approximated by a sequence \(\mu_{x}^{W_n}\) of harmonic measures such that each \(W_n\) is an open neighborhood of \(x\) in \(U_1\cup \dots \cup U_k\). The corresponding result in the classical case was presented by the authors earlier in [Adv. Math. 218, No. 4, 1181--1223 (2008; Zbl 1146.31006)]. The authors give a new method of the proof.
Mathematics Subject Classification ID: 31B35
zbMATH DE Number: 5607252
zbMATH Keywords: transit set
zbMATH Keywords: space-time structure
zbMATH Keywords: sub-Markov semigroup
zbMATH Keywords: Green domain
zbMATH Keywords: balayage space
zbMATH Keywords: harmonic space
author: Wolfhard Hansen
author: Ivan Netuka
Wikidata QID: Q116637077
MaRDI profile type: Publication
full work available at URL: s00208-009-0371-3
OpenAlex ID: W2055520413
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DOI: 10.1007/S00208-009-0371-3
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description: scientific article; zbMATH DE number 5607252