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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 11, Pages 3–14
DOI: https://doi.org/10.26907/0021-3446-2020-11-3-14 (Mi ivm9622) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Direct and inverse problems for the simple layer logarithmic potential

N. R. Abubakirov, L. A. Aksent'ev

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (385 kB) Citations (3)
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DOI: https://doi.org/10.26907/0021-3446-2020-11-3-14
Abstract: With the help of Cauchy-type integrals, a new derivation of integral equations for solving logarithmic potential problems is given. The inverse problem is analyzed with two star-shaped solutions containing a smaller number of parameters than in the more difficult similar examples of I. M. Rapoport. The criterion of conversion to the identical constant of the internal potential of a simple layer is proved.
Keywords: logarithmic potential of a simple layer, convexity and star-like conditions, Cauchy-type integral.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
Received: 27.12.2019
Revised: 08.07.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 11, Pages 1–10
DOI: https://doi.org/10.3103/S1066369X20110018
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: N. R. Abubakirov, L. A. Aksent'ev, “Direct and inverse problems for the simple layer logarithmic potential”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 11, 3–14; Russian Math. (Iz. VUZ), 64:11 (2020), 1–10
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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