On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions | Zendy

Kirane Mokhtar | Zendy; Torebek Berikbol T. | Zendy

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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.

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