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Ural Mathematical Journal, 2021, Volume 7, Issue 2, Pages 110–120
DOI: https://doi.org/10.15826/umj.2021.2.008 (Mi umj153) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Carleman's formula of a solutions of the Poisson equation in bounded domain

Ermamat N. Sattorov, Zuxro E. Ermamatova

Samarkand State University
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DOI: https://doi.org/10.15826/umj.2021.2.008
Abstract: We suggest an explicit continuation formula for a solution to the Cauchy problem for the Poisson equation in a domain from its values and values of its normal derivative on a part of the boundary. We construct the continuation formula of this problem based on the Carleman-Yarmuhamedov function method.
Keywords: Poisson equations, ill-posed problem, regular solution, Carleman–Yarmuhamedov function, Green's formula, Carleman formula, Mittag–Leffler entire function.
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Document Type: Article
Language: English
Citation: Ermamat N. Sattorov, Zuxro E. Ermamatova, “Carleman's formula of a solutions of the Poisson equation in bounded domain”, Ural Math. J., 7:2 (2021), 110–120
Citation in format AMSBIB
\Bibitem{SatErm21}
\by Ermamat~N.~Sattorov, Zuxro~E.~Ermamatova
\paper Carleman's formula of a solutions of the Poisson equation in bounded domain
\jour Ural Math. J.
\yr 2021
\vol 7
\issue 2
\pages 110--120
\mathnet{http://mi.mathnet.ru/umj153}
\crossref{https://doi.org/10.15826/umj.2021.2.008}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR4358917}
\elib{https://elibrary.ru/item.asp?id=47556645}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85124330730}
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    • This publication is cited in the following 1 articles:
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