Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions

Details Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions

2007-10-24

arxiv.org/abs/0710.4539v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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