About solvability of some boundary value problems for poisson equation in the ball

2018

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DOI 10.2298/fil1803939k
Data confidence 70 medium
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Abstract

In the paper we study properties of some integro - differential operators of fractional order. As an application of the properties of these operators for Poisson equation we examine questions on solvability of a fractional analogue of the Neumann problem and analogues of periodic boundary value problems for circular domains. The exact conditions for solvability of these problems are found.