A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
type: Item
instance of: scholarly article
title: A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
zbMATH Open document ID: 0958.35025
author: C. E. Kenig
author: Herbert Koch
author: Jill Pipher
author: Tatiana Toro
published in: Advances in Mathematics
publication date: 2001-03-27T00:00:00Z
review text: This paper was motivated by the study of nonsymmetric elliptic equations. The authors prove two theorems which give sufficient conditions for the elliptic measure of an elliptic divergence form operator to belong to \(A_{\infty}\) (the Muckenhoupt weight class) with respect to the surface measure on the boundary of a Lipschitz domain. The general criterion that this \(A_{\infty}\) condition implies solvability of the \(L^p\) Dirichlet problem for some value of \(p\) which depends on the operator is verified for a class of divergence form nonsymmetric operators.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 1507787
zbMATH Keywords: nonsymmetric elliptic equation
zbMATH Keywords: absolute continuity of elliptic measure
MaRDI profile type: Publication
full work available at URL: aima.1999.1899
OpenAlex ID: W2068569862
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DOI: 10.1006/AIMA.1999.1899
description: scientific article; zbMATH DE number 1507787