A general framework for nonlocal Neumann problems
Foghem G, Kaßmann M (2024)
Communications in Mathematical Sciences 22(1): 15-66.
Zeitschriftenaufsatz
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Autor*in
Foghem, Guy;
Kaßmann, MoritzUniBi 
Einrichtung
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 exterior 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.
Stichworte
Neumann problem;
nonlocal Sobolev spaces;
integro-differential operators;
integrodifferential equations;
Dirichlet forms
Erscheinungsjahr
2024
Zeitschriftentitel
Communications in Mathematical Sciences
Band
22
Ausgabe
1
Seite(n)
15-66
ISSN
1539-6746
eISSN
1945-0796
Page URI
https://pub.uni-bielefeld.de/record/2962534
Zitieren
Foghem G, Kaßmann M. A general framework for nonlocal Neumann problems. Communications in Mathematical Sciences . 2024;22(1):15-66.
Foghem, G., & Kaßmann, M. (2024). A general framework for nonlocal Neumann problems. Communications in Mathematical Sciences , 22(1), 15-66. https://doi.org/10.4310/CMS.2024.v22.n1.a2
Foghem, Guy, and Kaßmann, Moritz. 2024. “A general framework for nonlocal Neumann problems”. Communications in Mathematical Sciences 22 (1): 15-66.
Foghem, G., and Kaßmann, M. (2024). A general framework for nonlocal Neumann problems. Communications in Mathematical Sciences 22, 15-66.
Foghem, G., & Kaßmann, M., 2024. A general framework for nonlocal Neumann problems. Communications in Mathematical Sciences , 22(1), p 15-66.
G. Foghem and M. Kaßmann, “A general framework for nonlocal Neumann problems”, Communications in Mathematical Sciences , vol. 22, 2024, pp. 15-66.
Foghem, G., Kaßmann, M.: A general framework for nonlocal Neumann problems. Communications in Mathematical Sciences . 22, 15-66 (2024).
Foghem, Guy, and Kaßmann, Moritz. “A general framework for nonlocal Neumann problems”. Communications in Mathematical Sciences 22.1 (2024): 15-66.
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