Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2009, Volume 200, Issue 5, Pages 665–682
DOI: https://doi.org/10.1070/SM2009v200n05ABEH004014 (Mi sm7301) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Optimal recovery of the solution of the heat equation from inaccurate data

G. G. Magaril-Il'yaeva, K. Yu. Osipenkob

a Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
b Moscow State Aviation Technological University
English version PDF (343 kB) Citations (27) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2009v200n05ABEH004014
Abstract: The problem of optimal recovery of the solution of the heat equation in the entire space at a fixed instant of time from inaccurate observations of this solution at some other instants of time is investigated. Explicit expressions for an optimal recovery method and its error are given. The solution of a similar problem with a priori information about the temperature distribution at some instants of time is also given. In all cases the optimal method uses information about at most two observations.
Bibliography: 22 titles.
Keywords: optimal recovery, convex problem, Fourier transform.
Received: 21.09.2008
Bibliographic databases:
UDC: 517.518.8
MSC: Primary 41A65; Secondary 35K05, 46E20, 46E35
Language: English
Original paper language: Russian
Citation: G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of the solution of the heat equation from inaccurate data”, Sb. Math., 200:5 (2009), 665–682
Citation in format AMSBIB
\Bibitem{MagOsi09}
\by G.~G.~Magaril-Il'yaev, K.~Yu.~Osipenko
\paper Optimal recovery of the solution of the heat equation from inaccurate data
\jour Sb. Math.
\yr 2009
\vol 200
\issue 5
\pages 665--682
\mathnet{http://mi.mathnet.ru//eng/sm7301}
\crossref{https://doi.org/10.1070/SM2009v200n05ABEH004014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2541221}
\zmath{https://zbmath.org/?q=an:1188.35096}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009SbMat.200..665M}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269865000003}
\elib{https://elibrary.ru/item.asp?id=19066129}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350179783}
Linking options:
  • https://www.mathnet.ru/eng/sm7301
  • https://doi.org/10.1070/SM2009v200n05ABEH004014
  • https://www.mathnet.ru/eng/sm/v200/i5/p37
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024