The absolute continuity of elliptic measure revisited
type: Item
instance of: scholarly article
title: The absolute continuity of elliptic measure revisited
zbMATH Open document ID: 0922.31007
DOI: 10.1007/BF02498220
author: Jill Pipher
author: C. E. Kenig
published in: The Journal of Fourier Analysis and Applications
publication date: 1999-10-07T00:00:00Z
full work available at URL: https://eudml.org/doc/59577
review text: The article under review traces the history of some theorems about the boundary behaviour of harmonic functions and harmonic measure for Lipschitz domains. It explains how certain approaches to such theorems gave rise to questions about elliptic measure (an analogue of harmonic measure) for a class of elliptic partial differential equations on Lipschitz domains. The article culminates with a discussion of answers to some of these questions, given in two as yet unpublished papers [\textit{C. Kenig} and \textit{J. Pipher}, ``The Dirichlet problem for elliptic equations with drift terms'' (in preparation); \textit{C. Kenig, H. Koch, J. Pipher} and \textit{T. Toro}, ``A new approach to absolute continuity of elliptic measure with applications to nonsymmetric equations'' (preprint)].
Mathematics Subject Classification ID: 31B25
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1269732
zbMATH Keywords: harmonic measure
zbMATH Keywords: elliptic measure
zbMATH Keywords: elliptic partial differential equations on Lipschitz domains
reviewed by: D. H. Armitage
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1269732