On an analog of Samarskii-Ionkin type boundary value problem for the Poisson equation in the disk

Makhmud Abdysametovich Sadybekov, Berikbol T. Torebek, Nurgissa Yessirkegenov

2015

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DOI 10.1063/1.4930461
Data confidence 70 medium
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Abstract

In this paper, we consider a Samarskii-Ionkin type boundary value problem for the Poisson equation in the disk and prove its well-posedness. The possibility of separation of variables is justified. We construct an explicit form of the Green function for this problem and obtain an integral representation of the solution.