A general framework for nonlocal Neumann problems

Foghem G, Kaßmann M (2022)
arXiv:2204.06793.

Preprint | Englisch
 
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Autor*in
Foghem, Guy; Kaßmann, MoritzUniBi
Abstract / Bemerkung
Within the framework of Hilbert spaces, we solve nonlocal problems in bounded domains with prescribed conditions on the complement of the domain. Our main focus is on the inhomogeneous Neumann problem in a rather general setting. We also study the transition from complement value problems to local boundary value problems. Several results are new even for the fractional Laplace operator. The setting also covers relevant models in the framework of peridynamics.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv:2204.06793
Page URI
https://pub.uni-bielefeld.de/record/2962534

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Foghem G, Kaßmann M. A general framework for nonlocal Neumann problems. arXiv:2204.06793. 2022.
Foghem, G., & Kaßmann, M. (2022). A general framework for nonlocal Neumann problems. arXiv:2204.06793
Foghem, G., and Kaßmann, M. (2022). A general framework for nonlocal Neumann problems. arXiv:2204.06793.
Foghem, G., & Kaßmann, M., 2022. A general framework for nonlocal Neumann problems. arXiv:2204.06793.
G. Foghem and M. Kaßmann, “A general framework for nonlocal Neumann problems”, arXiv:2204.06793, 2022.
Foghem, G., Kaßmann, M.: A general framework for nonlocal Neumann problems. arXiv:2204.06793. (2022).
Foghem, Guy, and Kaßmann, Moritz. “A general framework for nonlocal Neumann problems”. arXiv:2204.06793 (2022).

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arXiv: 2204.06793

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