Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions
Analysis of PDEs
2007-10-25 v1 Classical Analysis and ODEs
Abstract
In this work we introduce the use of powerful tools from geometric measure theory (GMT) to study problems related to the size and structure of sets of mutual absolute continuity for the inside and outside harmonic measures of domains in n-dimensional Euclidean space, with n bigger than or equal to 3.
Keywords
Cite
@article{arxiv.0710.4539,
title = {Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions},
author = {Carlos E. Kenig and David Preiss and Tatiana Toro},
journal= {arXiv preprint arXiv:0710.4539},
year = {2007}
}