Remarks on the Nonlocal Dirichlet Problem
Grzywny T, Kaßmann M, Lezaj L (2020)
Potential Analysis.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Grzywny, Tomasz;
Kaßmann, MoritzUniBi 
;
Lezaj, Lukasz
;
Lezaj, LukaszEinrichtung
Abstract / Bemerkung
We study translation-invariant integrodifferential operators that generate Levy processes. First, we investigate different notions of what a solution to a nonlocal Dirichlet problem is and we provide the classical representation formula for distributional solutions. Second, we study the question under which assumptions distributional solutions are twice differentiable in the classical sense. Sufficient conditions and counterexamples are provided.
Stichworte
Dirichlet problem;
Nonlocal operator;
Levy process;
Interior C-2;
regularity
Erscheinungsjahr
2020
Zeitschriftentitel
Potential Analysis
Urheberrecht / Lizenzen
ISSN
0926-2601
eISSN
1572-929X
Page URI
https://pub.uni-bielefeld.de/record/2941888
Zitieren
Grzywny T, Kaßmann M, Lezaj L. Remarks on the Nonlocal Dirichlet Problem. Potential Analysis. 2020.
Grzywny, T., Kaßmann, M., & Lezaj, L. (2020). Remarks on the Nonlocal Dirichlet Problem. Potential Analysis. https://doi.org/10.1007/s11118-019-09820-9
Grzywny, Tomasz, Kaßmann, Moritz, and Lezaj, Lukasz. 2020. “Remarks on the Nonlocal Dirichlet Problem”. Potential Analysis.
Grzywny, T., Kaßmann, M., and Lezaj, L. (2020). Remarks on the Nonlocal Dirichlet Problem. Potential Analysis.
Grzywny, T., Kaßmann, M., & Lezaj, L., 2020. Remarks on the Nonlocal Dirichlet Problem. Potential Analysis.
T. Grzywny, M. Kaßmann, and L. Lezaj, “Remarks on the Nonlocal Dirichlet Problem”, Potential Analysis, 2020.
Grzywny, T., Kaßmann, M., Lezaj, L.: Remarks on the Nonlocal Dirichlet Problem. Potential Analysis. (2020).
Grzywny, Tomasz, Kaßmann, Moritz, and Lezaj, Lukasz. “Remarks on the Nonlocal Dirichlet Problem”. Potential Analysis (2020).
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