Harmonic polynomials and tangent measures of harmonic measure
Analysis of PDEs
2011-08-17 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.0910.2591,
title = {Harmonic polynomials and tangent measures of harmonic measure},
author = {Matthew Badger},
journal= {arXiv preprint arXiv:0910.2591},
year = {2011}
}
Comments
23 pages, 1 figure