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On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions |
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| Authors: | Mokhtar Kirane Berikbol T. Torebek |
| Affiliation: | 1. Laboratoire de Mathématiques, P?le Sciences et Technologies, Université de La Rochelle, La Rochelle Cedex, France;2. NAAM Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia;3. Institute of Mathematics and Mathematical Modeling MES RK, Almaty, Kazakhstan;4. Al‐Farabi Kazakh National University, Almaty, Kazakhstan |
| Abstract: | 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. |
| Keywords: | Laplace equation nonlocal problem fractional boundary conditions Bitsadze‐Samarskii problem fractional operator |