Harmonic polynomials and tangent measures of harmonic measure
Matthew
Badger
Source: Rev. Mat. Iberoamericana Volume 27, Number 3
(2011), 841-870.
Abstract
We show that on an NTA domain if each tangent measure to harmonic measure at a point is a polynomial harmonic measure then the associated polynomials are homogeneous. Geometric information for solutions of a two-phase free boundary problem studied by Kenig and Toro is derived.
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