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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 72–84 (Mi ivm7173)  
This article is cited in 6 scientific papers (total in 6 papers)

Reconstruction of solutions to a generalized Moisil–Teodorescu system in a spatial domain from their values on a part of the boundary

E. N. Sattorov

Chair of Mathematical Physics and Function Theory, Samarkand State University, Samarkand, Republic of Uzbekistan
Full-text PDF (239 kB) Citations (6)
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Abstract: In this paper we consider the problem of reconstructing solutions to a generalized Moisil–Teodorescu system in a spatial domain from their values on a part of the domain boundary, i.e., the Cauchy problem. We construct an approximate solution to this problem with the help of the Carleman matrix method.
Keywords: generalized Moisil–Teodorescu system, ill-posed problems, regularized solution, approximate solution, Carleman matrix.
Received: 13.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 62–73
DOI: https://doi.org/10.3103/S1066369X11010075
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: E. N. Sattorov, “Reconstruction of solutions to a generalized Moisil–Teodorescu system in a spatial domain from their values on a part of the boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 72–84; Russian Math. (Iz. VUZ), 55:1 (2011), 62–73
Citation in format AMSBIB
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\by E.~N.~Sattorov
\paper Reconstruction of solutions to a~generalized Moisil--Teodorescu system in a~spatial domain from their values on a~part of the boundary
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 1
\pages 72--84
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810195}
\elib{https://elibrary.ru/item.asp?id=15261318}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 1
\pages 62--73
\crossref{https://doi.org/10.3103/S1066369X11010075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952826827}
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  • https://www.mathnet.ru/eng/ivm/y2011/i1/p72
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :98
    References:48
    First page:13
     
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