TY  - JOUR
A1  - Abatangelo, Nicola
T1  - A remark on nonlocal Neumann conditions for the fractional Laplacian
T2  - Archiv der Mathematik
T2  - Archives mathématiques
T2  - Archives of mathematics
N2  - We show how nonlocal boundary conditions of Robin type can be encoded in the pointwise expression of the fractional operator. Notably, the fractional Laplacian of functions satisfying homogeneous nonlocal Neumann conditions can be expressed as a regional operator with a kernel having logarithmic behaviour at the boundary.
KW  - Fractional Laplacian
KW  - Nonlocal normal derivative
KW  - Nonlocal Neumann conditions
KW  - Regional Laplacian
Y1  - 2020
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63790
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-637900
SN  - 1420-8938
N1  - Open Access funding provided by Projekt DEAL.
VL  - 114
IS  - 6
SP  - 699
EP  - 708
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -