Spectral properties of a Laplace operator with Samarskii–Ionkin type boundary conditions in a disk

Makhmud Abdysametovich Sadybekov, Nurgissa Yessirkegenov

2016

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DOI 10.1063/1.4959753
Data confidence 70 medium
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Abstract

In this paper, we consider spectral properties of a Laplace operator with boundary conditions of Samarskii-Ionkin type in a disk and prove the completeness of eigenfunctions. In addition, we note that unlike the one-dimensional case the system of root functions of the problems consists only of eigenfunctions.