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

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

2005-03-16

arxiv.org/abs/math/0503333v1

Mathematics

Probability

Scientific paper

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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