Heat kernel of fractional Laplacian in cones

Krzysztof Bogdan; Tomasz Grzywny

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 2, page 365-377
  • ISSN: 0010-1354

Abstract

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We give sharp estimates for the transition density of the isotropic stable Lévy process killed when leaving a right circular cone.

How to cite

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Krzysztof Bogdan, and Tomasz Grzywny. "Heat kernel of fractional Laplacian in cones." Colloquium Mathematicae 118.2 (2010): 365-377. <http://eudml.org/doc/283954>.

@article{KrzysztofBogdan2010,
abstract = {We give sharp estimates for the transition density of the isotropic stable Lévy process killed when leaving a right circular cone.},
author = {Krzysztof Bogdan, Tomasz Grzywny},
journal = {Colloquium Mathematicae},
keywords = {cone; fractional Laplacian; killed stable Lévy process; transition density; heat kernel},
language = {eng},
number = {2},
pages = {365-377},
title = {Heat kernel of fractional Laplacian in cones},
url = {http://eudml.org/doc/283954},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Krzysztof Bogdan
AU - Tomasz Grzywny
TI - Heat kernel of fractional Laplacian in cones
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 365
EP - 377
AB - We give sharp estimates for the transition density of the isotropic stable Lévy process killed when leaving a right circular cone.
LA - eng
KW - cone; fractional Laplacian; killed stable Lévy process; transition density; heat kernel
UR - http://eudml.org/doc/283954
ER -

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