The boundary Harnack principle for the fractional Laplacian
Studia Mathematica (1997)
- Volume: 123, Issue: 1, page 43-80
- ISSN: 0039-3223
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topBogdan, Krzysztof. "The boundary Harnack principle for the fractional Laplacian." Studia Mathematica 123.1 (1997): 43-80. <http://eudml.org/doc/216379>.
@article{Bogdan1997,
abstract = {We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.},
author = {Bogdan, Krzysztof},
journal = {Studia Mathematica},
keywords = {boundary Harnack principle; symmetric stable processes; harmonic functions; Lipschitz domains; Laplacian; fractional powers; symmetric stable semigroup; Riesz potentials},
language = {eng},
number = {1},
pages = {43-80},
title = {The boundary Harnack principle for the fractional Laplacian},
url = {http://eudml.org/doc/216379},
volume = {123},
year = {1997},
}
TY - JOUR
AU - Bogdan, Krzysztof
TI - The boundary Harnack principle for the fractional Laplacian
JO - Studia Mathematica
PY - 1997
VL - 123
IS - 1
SP - 43
EP - 80
AB - We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.
LA - eng
KW - boundary Harnack principle; symmetric stable processes; harmonic functions; Lipschitz domains; Laplacian; fractional powers; symmetric stable semigroup; Riesz potentials
UR - http://eudml.org/doc/216379
ER -
References
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Citations in EuDML Documents
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- Anne-Laure Dalibard, David Gérard-Varet, On shape optimization problems involving the fractional laplacian
- Panki Kim, Renming Song, Zoran Vondraček, Minimal thinness for subordinate Brownian motion in half-space
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