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arXiv:math/0503333 [math.PR]AbstractReferencesReviewsResources

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

Andrzej Stos

Published 2005-03-16Version 1

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

Categories: math.PR
Subjects: 60J45, 60J35
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