Heat kernel of fractional Laplacian in cones

Volume 118 / 2010

Krzysztof Bogdan, Tomasz Grzywny Colloquium Mathematicum 118 (2010), 365-377 MSC: Primary 60J35, 60J50; Secondary 60J75, 31B25. DOI: 10.4064/cm118-2-1

Abstract

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

Authors

  • Krzysztof BogdanInstitute of Mathematics and Computer Science
    Wrocław University of Technology
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail
  • Tomasz GrzywnyInstitute of Mathematics and Computer Science
    Wrocław University of Technology
    Wybrzeże Wyspia/nskiego 27
    50-370, Wrocław, Poland
    e-mail

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