To spectral problems for the volume potential

T. Sh Kal'menov; D. Suragan

doi:10.1134/S1064562409050032

To spectral problems for the volume potential

T. Sh Kal'menov, D. Suragan

Research output: Contribution to journal › Article › peer-review

51 Citations (Scopus)

Abstract

A boundary condition on the volume potential was demonstrated for an arbitrary domain ω. The eigenvalues and the eigen-functions of the volume potential were found for the 2 disk and the 3 ball. It was shown in the Poisson equation that self adjoint differential operators were generated by boundary conditions. One of the main results of the investigation gave boundary conditions uniquely determining the volume potential. The first theorem stated that the spectral problem on the eigenvalues of the volume potential on the disk was equivalent to the spectral problem.

Original language	English
Pages (from-to)	646-649
Number of pages	4
Journal	Doklady Mathematics
Volume	80
Issue number	2
DOIs	https://doi.org/10.1134/S1064562409050032
Publication status	Published - Oct 1 2009
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1134/S1064562409050032

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AB - A boundary condition on the volume potential was demonstrated for an arbitrary domain ω. The eigenvalues and the eigen-functions of the volume potential were found for the 2 disk and the 3 ball. It was shown in the Poisson equation that self adjoint differential operators were generated by boundary conditions. One of the main results of the investigation gave boundary conditions uniquely determining the volume potential. The first theorem stated that the spectral problem on the eigenvalues of the volume potential on the disk was equivalent to the spectral problem.

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To spectral problems for the volume potential

Abstract

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