On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order

2013

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DOI 10.1186/1687-2770-2013-93
Data confidence 70 medium
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Abstract

In this work, we investigate the solvability of a boundary value problem for the Poisson equation. The considered problem is a generalization of the known Dirichlet and Neumann problems on operators of a fractional order. We obtain exact conditions for solvability of the studied problem. MSC:35J05, 35J25, 26A33.