On eigenfunctions and eigenvalues of a nonlocal Laplace operator with involution in a parallelepiped

In this paper, we study eigenfunctions and eigenvalues of the Dirichlet problem for the nonlocal Laplace equation. An explicit form of eigenfunctions and eigenvalues for the parallelepiped is found. Theorems on completeness of the eigenfunctions of the problem under consideration are proved.

Bibliographische Detailangaben

Hauptverfasser:	Turmetov, Batirkhan, Karachik, Valeriy
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Dirichlet problem Eigenvalues Eigenvectors Laplace equation Parallelepipeds
Online-Zugang:	Volltext
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