Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773983 | Journal of Differential Equations | 2017 | 42 Pages |
Abstract
We consider a certain class of second order, variable coefficient divergence form elliptic operators, in a uniform domain Ω with Ahlfors regular boundary, and we show that the Aâ property of the elliptic measure associated to any such operator and its transpose imply that the domain is in fact NTA (and hence chord-arc). The converse was already known, and follows from work of Kenig and Pipher [30].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Steve Hofmann, José MarÃa Martell, Tatiana Toro,