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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 228–239 (Mi smj1281)  
This article is cited in 7 scientific papers (total in 7 papers)

On harmonic continuation of differentiable functions defined on a part of the boundary

Sh. Yarmukhamedov

A. Navoi Samarkand State University
Full-text PDF (209 kB) Citations (7)
Abstract: We establish an explicit formula for reconstruction of a harmonic function in a domain from its values and the values of its normal derivative on part of the boundary; i.e. we give an explicit solution to the Cauchy problem for the Laplace equation.
Received: 30.11.1998
Revised: 18.03.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 1, Pages 183–193
DOI: https://doi.org/10.1023/A:1013849310522
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Sh. Yarmukhamedov, “On harmonic continuation of differentiable functions defined on a part of the boundary”, Sibirsk. Mat. Zh., 43:1 (2002), 228–239; Siberian Math. J., 43:1 (2002), 183–193
Citation in format AMSBIB
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\by Sh.~Yarmukhamedov
\paper On harmonic continuation of differentiable functions defined on a~part of the boundary
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 1
\pages 228--239
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1888133}
\zmath{https://zbmath.org/?q=an:1008.31003}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 1
\pages 183--193
\crossref{https://doi.org/10.1023/A:1013849310522}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173897400021}
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  • https://www.mathnet.ru/eng/smj/v43/i1/p228
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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