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On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions
Author(s) -
Kirane Mokhtar,
Torebek Berikbol T.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3554
Subject(s) - mathematics , boundary value problem , laplace's equation , laplace transform , mathematical analysis , ball (mathematics) , unit sphere , operator (biology) , generalization , mixed boundary condition , boundary (topology) , free boundary problem , chemistry , repressor , biochemistry , transcription factor , gene
In this paper, we investigate the correct solvability for the Laplace equation with a nonlocal boundary condition in the unit ball. The considered boundary operator is of fractional order. This problem is a generalization of the well‐known Bitsadze–Samarskii problem. Copyright © 2015 John Wiley & Sons, Ltd.