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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 3, Pages 525–537
DOI: https://doi.org/10.33048/smzh.2021.62.305 (Mi smj7574) 		 
The Riemann boundary value problem on circular spirals

B. A. Katsa, D. B. Katsb, Zhixin Lyua

a Kazan (Volga Region) Federal University, Kazan, Russia
b Moscow Polytechnic University, Moscow, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.305
Abstract: There is a series of publications about the Riemann boundary value problem on spiral-like arcs. Some constraints are imposed on the shape of the turns which derive the latter close to approximating concentric circles in form. This article solves the problem for the spirals that may lose concentricity. We show that this effect can entail changes in the solvability of the boundary value problem.
Keywords: Riemann boundary value problem, spirals of strong torsion, Mittag-Leffler theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
The work was carried out as a part of the program of the Mathematical Center of the Kazan (Volga Region) Federal Region (Agreement No. 075–02–2020–1478).
Received: 09.09.2020
Revised: 27.03.2021
Accepted: 14.04.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 3, Pages 423–433
DOI: https://doi.org/10.1134/S0037446621030058
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: B. A. Kats, D. B. Kats, Zhixin Lyu, “The Riemann boundary value problem on circular spirals”, Sibirsk. Mat. Zh., 62:3 (2021), 525–537; Siberian Math. J., 62:3 (2021), 423–433
Citation in format AMSBIB
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