The divergence theorem and nonlocal counterparts

Hepp S, Kaßmann M (2023)
Bulletin of the London Mathematical Society.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
We provide a new proof of the classical divergence theorem in $C^1$-domains. Our proof is based on a nonlocal analog of the divergence theorem and a rescaling argument. A main ingredient in the proof is a nonlocal version of the normal derivative.
Erscheinungsjahr
2023
Zeitschriftentitel
Bulletin of the London Mathematical Society
eISSN
1469-2120
Page URI
https://pub.uni-bielefeld.de/record/2978262

Zitieren

Hepp S, Kaßmann M. The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society. 2023.
Hepp, S., & Kaßmann, M. (2023). The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society. https://doi.org/10.1112/blms.12960
Hepp, Solveig, and Kaßmann, Moritz. 2023. “The divergence theorem and nonlocal counterparts”. Bulletin of the London Mathematical Society.
Hepp, S., and Kaßmann, M. (2023). The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society.
Hepp, S., & Kaßmann, M., 2023. The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society.
S. Hepp and M. Kaßmann, “The divergence theorem and nonlocal counterparts”, Bulletin of the London Mathematical Society, 2023.
Hepp, S., Kaßmann, M.: The divergence theorem and nonlocal counterparts. Bulletin of the London Mathematical Society. (2023).
Hepp, Solveig, and Kaßmann, Moritz. “The divergence theorem and nonlocal counterparts”. Bulletin of the London Mathematical Society (2023).
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arXiv: 2302.01945

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