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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

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

This article is cited in 4 papers

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.

UDC: 517.956

Received: 30.01.2018


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

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© Steklov Math. Inst. of RAS, 2024