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Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpet

Andrzej Stos
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Abstract

We prove the Boundary Harnack Principle related to fractional powers of Laplacian for some natural regions in the two-dimensional Sierpinski carpet. This is a natual application of a probabilistic method based on the Ikeda-Watanabe formula

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Andrzej Stos. 2005-03-16. Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpet. https://arxiv.org/abs/math/0503333

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