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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 10, Pages 55–62 (Mi ivm8837)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Explicit forms of the Schwarz integral and their application in inverse boundary-value problems

N. R. Abubakirova, L. A. Aksent'evb

a Chair of General Mathematics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: We obtain new explicit forms of the Schwarz integral in the unit circle. With the help of superpositions of logarithms we establish criteria that characterize the appearance of singular points on the boundary in inverse boundary value problems, as well as criteria for the appearance of boundary circles.
Keywords: Schwarz integral, inverse boundary-value problems, modulus of continuity.
Received: 28.02.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 10, Pages 48–53
DOI: https://doi.org/10.3103/S1066369X13100058
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: N. R. Abubakirov, L. A. Aksent'ev, “Explicit forms of the Schwarz integral and their application in inverse boundary-value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 55–62; Russian Math. (Iz. VUZ), 57:10 (2013), 48–53
Citation in format AMSBIB
\Bibitem{AbuAks13}
\by N.~R.~Abubakirov, L.~A.~Aksent'ev
\paper Explicit forms of the Schwarz integral and their application in inverse boundary-value problems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 10
\pages 55--62
\mathnet{http://mi.mathnet.ru/ivm8837}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 10
\pages 48--53
\crossref{https://doi.org/10.3103/S1066369X13100058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885579795}
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    • This publication is cited in the following 1 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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