Boundary regularity and Hopf lemma for nondegenerate stable operators
Grube F (2024)
arXiv:2410.00829.
Preprint | Englisch
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Abstract / Bemerkung
We prove sharp boundary Hölder regularity for solutions to equations involving stable integro-differential operators in bounded open sets satisfying the exterior $C^{1,\text{dini}}$-property. This result is new even for the fractional Laplacian. A Hopf-type boundary lemma is proven, too. An additional feature of this work is that the regularity estimate is robust as $s\to 1-$ and we recover the classical results for second order equations.
Erscheinungsjahr
2024
Zeitschriftentitel
arXiv:2410.00829
Seite(n)
42
Page URI
https://pub.uni-bielefeld.de/record/2993176
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Grube F. Boundary regularity and Hopf lemma for nondegenerate stable operators. arXiv:2410.00829. 2024.
Grube, F. (2024). Boundary regularity and Hopf lemma for nondegenerate stable operators. arXiv:2410.00829. https://doi.org/10.48550/ARXIV.2410.00829
Grube, Florian. 2024. “Boundary regularity and Hopf lemma for nondegenerate stable operators”. arXiv:2410.00829.
Grube, F. (2024). Boundary regularity and Hopf lemma for nondegenerate stable operators. arXiv:2410.00829.
Grube, F., 2024. Boundary regularity and Hopf lemma for nondegenerate stable operators. arXiv:2410.00829.
F. Grube, “Boundary regularity and Hopf lemma for nondegenerate stable operators”, arXiv:2410.00829, 2024.
Grube, F.: Boundary regularity and Hopf lemma for nondegenerate stable operators. arXiv:2410.00829. (2024).
Grube, Florian. “Boundary regularity and Hopf lemma for nondegenerate stable operators”. arXiv:2410.00829 (2024).
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