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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2011, Number 1(2), Pages 26–31
DOI: https://doi.org/10.18454/2079-6641-2011-2-1-24-29 (Mi vkam97) 		 
MATHEMATICS

Orthogonal solutions of a spectral problem in the class of poloidal field

G. M. Vodincharab, L. K. Feshchenkoa

a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Kamchatka State University by Vitus Bering, 683032, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
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DOI: https://doi.org/10.18454/2079-6641-2011-2-1-24-29
Abstract: We prove the orthogonality of the eigenfields of the spectral problem $\mathrm{rot}\Delta S+\lambda \mathrm{rot}S =0$ in the space of the poloidal field in a spherical shell.
Keywords: spectral problem; the spherical shell; orthogonal field.
Received: 05.02.2011
Bibliographic databases:
Document Type: Article
UDC: 517.958+517.927
MSC: Primary 47F05; Secondary 57R25
Language: Russian
Citation: G. M. Vodinchar, L. K. Feshchenko, “Orthogonal solutions of a spectral problem in the class of poloidal field”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 1(2), 26–31
Citation in format AMSBIB
\Bibitem{VodFes11}
\by G.~M.~Vodinchar, L.~K.~Feshchenko
\paper Orthogonal solutions of a spectral problem in the class of poloidal field
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2011
\issue 1(2)
\pages 26--31
\mathnet{http://mi.mathnet.ru/vkam97}
\crossref{https://doi.org/10.18454/2079-6641-2011-2-1-24-29}
\elib{https://elibrary.ru/item.asp?id=17048386}
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