Nonlocal operators related to nonsymmetric forms II: Harnack inequalities
Kaßmann M, Weidner M (2024)
Analysis & PDE 17(9).
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Kaßmann, MoritzUniBi 
;
Weidner, Marvin
;
Weidner, MarvinEinrichtung
Abstract / Bemerkung
Local boundedness and Harnack inequalities are studied for solutions to parabolic and elliptic integrodifferential equations whose governing nonlocal operators are associated with nonsymmetric forms. We present two independent proofs, one based on the De Giorgi iteration and the other on the Moser iteration technique. This article is a continuation of work of Kassmann and Weidner (2022), where Hölder regularity and a weak Harnack inequality are proved in a similar setup.
Stichworte
nonlocal operator;
energy form;
nonsymmetric;
regularity;
Harnack inequality;
De Giorgi;
Moser
Erscheinungsjahr
2024
Zeitschriftentitel
Analysis & PDE
Band
17
Ausgabe
9
ISSN
2157-5045
eISSN
1948-206X
Page URI
https://pub.uni-bielefeld.de/record/2962913
Zitieren
Kaßmann M, Weidner M. Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. Analysis & PDE. 2024;17(9).
Kaßmann, M., & Weidner, M. (2024). Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. Analysis & PDE, 17(9). https://doi.org/10.2140/apde.2024.17.3189
Kaßmann, Moritz, and Weidner, Marvin. 2024. “Nonlocal operators related to nonsymmetric forms II: Harnack inequalities”. Analysis & PDE 17 (9).
Kaßmann, M., and Weidner, M. (2024). Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. Analysis & PDE 17.
Kaßmann, M., & Weidner, M., 2024. Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. Analysis & PDE, 17(9).
M. Kaßmann and M. Weidner, “Nonlocal operators related to nonsymmetric forms II: Harnack inequalities”, Analysis & PDE, vol. 17, 2024.
Kaßmann, M., Weidner, M.: Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. Analysis & PDE. 17, (2024).
Kaßmann, Moritz, and Weidner, Marvin. “Nonlocal operators related to nonsymmetric forms II: Harnack inequalities”. Analysis & PDE 17.9 (2024).
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