Scale-invariant Boundary Harnack Principle in Inner Uniform Domains

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.

36 pages

References in corpus (1)

• Widder's representation theorem for symmetric local Dirichlet spaces

Cited by in corpus (1)

• Boundaries of planar graphs, via circle packings