Scale-invariant Boundary Harnack Principle in Inner Uniform Domains

Details Scale-invariant Boundary Harnack Principle in Inner Uniform Domains Scale-invariant Boundary Harnack Principle in Inner Uniform Domains

2011-10-12

arxiv.org/abs/1110.2763v1

Mathematics

Probability

34 pages

Scientific paper

We prove a scale-invariant boundary Harnack principle in inner uniform
domains in the context of local regular Dirichlet spaces. For inner uniform
Euclidean domains, our results apply to divergence form operators that are not
necessarily symmetric, and complement earlier results by H. Aikawa and A.
Ancona.

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