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

  • Andrzej Stós
  • Published 2008

Abstract

We prove the Boundary Harnack Principle related to fractional powers of Laplacian for some natural regions in the two-dimensional Sierpiński carpet. This is a natual application of some more general approach based on the Ikeda-Watanabe formula. Résumé Nous présentons le principe de Harnack à la frontière pour des puissances fractionaires du laplacien dans… (More)

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Cite this paper

@inproceedings{Sts2008BoundaryHP, title={Boundary Harnack Principle for fractional powers of Laplacian on the Sierpiński carpet}, author={Andrzej St{\'o}s}, year={2008} }