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.
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
\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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https://www.mathnet.ru/eng/umj153
https://www.mathnet.ru/eng/umj/v7/i2/p110
This publication is cited in the following 1 articles:
E. B. Laneev, A. V. Klimishin, “O priblizhennom reshenii nekorrektno postavlennoi smeshannoi kraevoi zadachi dlya uravneniya Laplasa v tsilindricheskoi oblasti s odnorodnymi usloviyami vtorogo roda na bokovoi poverkhnosti tsilindra”, Vestnik rossiiskikh universitetov. Matematika, 29:146 (2024), 164–175
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