Physics

Mathematical analysis

Artificial intelligence

Eigenvalues and eigenvectors

Variable (mathematics)

Transpose

Pure mathematics

Geometry

Converse

Class (philosophy)

Mathematics

Domain (mathematical analysis)

Computer science

Boundary (topology)

Quantum mechanics

Elliptic operator

Journal of Differential Equations

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].

A∞ implies NTA for a class of variable coefficient elliptic operators