Continuity of solutions to equations with weakly singular nonlocal operators
Jarohs S, Kaßmann M, Weth T (2023)
arXiv:2311.15337.
Preprint | Englisch
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Autor*in
Jarohs, Sven;
Kaßmann, MoritzUniBi 
;
Weth, Tobias
;
Weth, TobiasEinrichtung
Abstract / Bemerkung
We prove regularity estimates for weak solutions to linear nonlocal
equations. The nonlocal operators under consideration are integro-differential
operators with almost no order of differentiability. Under rather weak
assumptions, which allow the operator to be anisotropic and weakly singular, we
show that locally bounded weak solutions are continuous. We prove uniform
a-priori estimates for the modulus of continuity. Furthermore, we provide
sufficient conditions for the boundedness of weak solutions.
Erscheinungsjahr
2023
Zeitschriftentitel
arXiv:2311.15337
Page URI
https://pub.uni-bielefeld.de/record/2986704
Zitieren
Jarohs S, Kaßmann M, Weth T. Continuity of solutions to equations with weakly singular nonlocal operators. arXiv:2311.15337. 2023.
Jarohs, S., Kaßmann, M., & Weth, T. (2023). Continuity of solutions to equations with weakly singular nonlocal operators. arXiv:2311.15337
Jarohs, Sven, Kaßmann, Moritz, and Weth, Tobias. 2023. “Continuity of solutions to equations with weakly singular nonlocal operators”. arXiv:2311.15337.
Jarohs, S., Kaßmann, M., and Weth, T. (2023). Continuity of solutions to equations with weakly singular nonlocal operators. arXiv:2311.15337.
Jarohs, S., Kaßmann, M., & Weth, T., 2023. Continuity of solutions to equations with weakly singular nonlocal operators. arXiv:2311.15337.
S. Jarohs, M. Kaßmann, and T. Weth, “Continuity of solutions to equations with weakly singular nonlocal operators”, arXiv:2311.15337, 2023.
Jarohs, S., Kaßmann, M., Weth, T.: Continuity of solutions to equations with weakly singular nonlocal operators. arXiv:2311.15337. (2023).
Jarohs, Sven, Kaßmann, Moritz, and Weth, Tobias. “Continuity of solutions to equations with weakly singular nonlocal operators”. arXiv:2311.15337 (2023).
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