Nonlocal operators with Neumann conditions

We construct a strong Markov process $X$ corresponding to the Dirichlet form of Servadei and Valdinoci and use the process to solve the corresponding Neumann boundary problem for the fractional Laplacian and the half-line. When started in $(0

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Publication Details

Journal
Dissertationes Mathematicae
Published
2025-01-01
DOI
https://doi.org/10.4064/dm241221-14-4
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Nonlocal operators with Neumann conditions

Damian Fafuła, Paweł Sztonyk, Krzysztof Bogdan
Dissertationes Mathematicae
Differential Equations and Boundary Problems
article

Nonlocal operators with Neumann conditions

Damian Fafuła, Paweł Sztonyk, Krzysztof Bogdan
article en

Abstract

We construct a strong Markov process $X$ corresponding to the Dirichlet form of Servadei and Valdinoci and use the process to solve the corresponding Neumann boundary problem for the fractional Laplacian and the half-line. When started in $(0

Dissertationes Mathematicae
Wrocław University of Science and Technology (PL), AGH University of Krakow (PL)
Openalex Percentile: Top 79%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
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Nonlocal operators with Neumann conditions — Damian Fafuła, Paweł Sztonyk, et al. · Dissertationes Mathematicae (2025) | TGRS Research Map | TGRS