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Self-similar solution for fractional Laplacian in cones

Year of publication

2024

Authors

Bogdan, Krzysztof; Knosalla, Piotr; Leżaj, Łukasz; Pilarczyk, Dominika

Abstract

We construct a self-similar solution of the heat equation for the fractional Laplacian with Dirichlet boundary conditions in every fat cone. Furthermore, we give the entrance law from the vertex and the Yaglom limit for the corresponding killed isotropic stable Lévy process and precise large-time asymptotics for solutions of the Cauchy problem in the cone.
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Organizations and authors

University of Jyväskylä

Lezaj Lukasz

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal

Electronic Journal of Probability

Publisher

Institute of Mathematical Statistics

Volume

29

Article number

54

ISSN

1083-6489

​Publication forum

55160

​Publication forum level

2

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Fully open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object]

Publication country

United States

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

No

DOI

10.1214/24-EJP1111

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes