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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 3–13 (Mi vmj527)  
This article is cited in 3 scientific papers (total in 3 papers)

On optimal recovery of Dirichlet problem from a boundary function known approximately

E. V. Abramova

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow, Russia
Full-text PDF (223 kB) Citations (3)
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Abstract: The problem of best (optimal) recovery of a solution of the Dirichlet problem for the upper half-plane from the Fourier transform of the boundary functions known approximately in considered. A series of optimal recovery methods are found and the corresponding errors recovery are calculated.
Key words: оptimal recovery, extremal problem, Dirichlet's problem, Fourier transform.
Received: 02.09.2014
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. V. Abramova, “On optimal recovery of Dirichlet problem from a boundary function known approximately”, Vladikavkaz. Mat. Zh., 17:1 (2015), 3–13
Citation in format AMSBIB
\Bibitem{Abr15}
\by E.~V.~Abramova
\paper On optimal recovery of Dirichlet problem from a~boundary function known approximately
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 1
\pages 3--13
\mathnet{http://mi.mathnet.ru/vmj527}
Linking options:
  • https://www.mathnet.ru/eng/vmj527
  • https://www.mathnet.ru/eng/vmj/v17/i1/p3
    • This publication is cited in the following 3 articles:
    1. G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “Optimal Recovery of Pipe Temperature from Inaccurate Measurements”, Proc. Steklov Inst. Math., 312 (2021), 207–214  mathnet  crossref  crossref  isi  elib
    2. E. V. Abramova, G. G. Magaril-Il'yaev, E. O. Sivkova, “Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data”, Comput. Math. Math. Phys., 60:10 (2020), 1656–1665  mathnet  crossref  crossref  isi  elib
    3. G. G. Magaril-Il'yaev, E. O. Sivkova, “Optimal recovery of semi-group operators from inaccurate data”, Eurasian Math. J., 10:4 (2019), 75–84  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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