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Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 8, Pages 75–82 (Mi ivm9389)  

Brief communications

On direct and inverse problems of logarithmic potential with finite number of parameters

N. R. Abubakirov, L. A. Aksent'ev

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We prescribe possibilities of realizing V. K. Ivanov's method for solving inverse problems of logarithmic potential and that of A. V. Tsirul'skii's method for solving direct problems of logarithmic potential. We solve two direct problems for logarithmic potential and for potential of simple layer in the case of polygonal contour.

Keywords: logarithmic potential, integral equation.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:8, 64–70

Bibliographic databases:

UDC: 517.956
Received: 30.01.2018

Citation: N. R. Abubakirov, L. A. Aksent'ev, “On direct and inverse problems of logarithmic potential with finite number of parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8, 75–82; Russian Math. (Iz. VUZ), 62:8 (2018), 64–70

Citation in format AMSBIB
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\by N.~R.~Abubakirov, L.~A.~Aksent'ev
\paper On direct and inverse problems of logarithmic potential with finite number of parameters
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 8
\pages 75--82
\mathnet{http://mi.mathnet.ru/ivm9389}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 8
\pages 64--70
\crossref{https://doi.org/10.3103/S1066369X18080091}
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  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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