Article ID Journal Published Year Pages File Type
5773983 Journal of Differential Equations 2017 42 Pages PDF
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 A∞ 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
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