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

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

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 eigen...

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Hauptverfasser: Sadybekov, Makhmud A., Yessirkegenov, Nurgissa A.
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Boundary conditions
Eigenvectors
Laplace transforms
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Yessirkegenov, Nurgissa A.
description 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.
doi_str_mv 10.1063/1.4959753
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subjects Boundary conditions
Eigenvectors
Laplace transforms
title Spectral properties of a Laplace operator with Samarskii–Ionkin type boundary conditions in a disk
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