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arxiv: 1110.2763 · v2 · pith:6KWE6YXXnew · submitted 2011-10-12 · 🧮 math.PR

Scale-invariant Boundary Harnack Principle in Inner Uniform Domains

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keywords domainsinneruniformboundaryharnackprincipleresultsscale-invariant
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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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