Scale-invariant Boundary Harnack Principle in Inner Uniform Domains

preprint2012arXivOpen access

Abstract

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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