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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 702–719 (Mi smj1101)  
This article is cited in 26 scientific papers (total in 26 papers)

A Carleman function and the Cauchy problem for the Laplace equation

Sh. Yarmukhamedov

A. Navoi Samarkand State University
Full-text PDF (266 kB) Citations (26)
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Abstract: We suggest 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 continuation formula and a regularization procedure for a solution to the Cauchy problem for the Laplace equation.
Keywords: fundamental solution, Carleman function, Green's formula, Carleman formula, regularization, Mittag–Leffler entire function.
Received: 25.09.2001
Revised: 09.01.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 580–595
DOI: https://doi.org/10.1023/B:SIMJ.0000028622.69605.c0
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Sh. Yarmukhamedov, “A Carleman function and the Cauchy problem for the Laplace equation”, Sibirsk. Mat. Zh., 45:3 (2004), 702–719; Siberian Math. J., 45:3 (2004), 580–595
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\vol 45
\issue 3
\pages 580--595
\crossref{https://doi.org/10.1023/B:SIMJ.0000028622.69605.c0}
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    • This publication is cited in the following 26 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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