Mathematics of the USSR-Sbornik
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


Mathematics of the USSR-Sbornik, 1993, Volume 74, Issue 1, Pages 219–249
DOI: https://doi.org/10.1070/SM1993v074n01ABEH003345
(Mi sm1384)
 

This article is cited in 10 scientific papers (total in 10 papers)

On a problem with nonlocal boundary condition for a parabolic equation

L. A. Muravei, A. V. Filinovskii
References:
Abstract: Well-posed solvability is proved in an appropriate energy space of a boundary value problem with a nonlocal boundary condition for a one-dimensional parabolic equation; two-sided uniform estimates of the solution are obtained, which replace the maximum principle. The existence of an optimal control of the diffusion coefficient in the problem of minimizing the quality functional is established in the class of functions of bounded variation.
Received: 01.10.1990
Bibliographic databases:
UDC: 517.956.4
MSC: Primary 35K20, 35B45; Secondary 49J20
Language: English
Original paper language: Russian
Citation: L. A. Muravei, A. V. Filinovskii, “On a problem with nonlocal boundary condition for a parabolic equation”, Math. USSR-Sb., 74:1 (1993), 219–249
Citation in format AMSBIB
\Bibitem{MurFil91}
\by L.~A.~Muravei, A.~V.~Filinovskii
\paper On a~problem with nonlocal boundary condition for a~parabolic equation
\jour Math. USSR-Sb.
\yr 1993
\vol 74
\issue 1
\pages 219--249
\mathnet{http://mi.mathnet.ru//eng/sm1384}
\crossref{https://doi.org/10.1070/SM1993v074n01ABEH003345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1135936}
\zmath{https://zbmath.org/?q=an:0774.35031|0765.35022}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..74..219M}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993KQ22500016}
Linking options:
  • https://www.mathnet.ru/eng/sm1384
  • https://doi.org/10.1070/SM1993v074n01ABEH003345
  • https://www.mathnet.ru/eng/sm/v182/i10/p1479
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1991 Sbornik: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024