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

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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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Probability, 60J45; 60J35

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http://salesiana.dossiersoluciones.com/handle/123456789/74517

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503333
 http://arxiv.org/abs/math/0503333

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arXiv