Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2011, Volume 90, Issue 6, Pages 918–946
DOI: https://doi.org/10.4213/mzm8556 (Mi mzm8556) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Stability of Unique Solvability of Quasilinear Equations Given Additional Data

I. G. Tsar'kov

M. V. Lomonosov Moscow State University
Full-text PDF (593 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8556
Abstract: We study quasilinear equations of elliptic and parabolic type whose solutions, having bounded uniform norms or bounded uniform norms of their derivatives, are uniquely defined by the additional information about the values of these solutions on a grid. For the case in which the equations and grid values are given with an error, we present estimates of the error of approximate solutions in the uniform metric.
Keywords: quasilinear equation of elliptic or parabolic type, stability of unique solvability, quasilinear equation, Dirichlet boundary-value problem, Banach space, Lipschitz function, $\varepsilon$-grid, star-shaped set, Friedrichs inequality.
Received: 16.05.2009
Revised: 15.03.2011
English version:
Mathematical Notes, 2011, Volume 90, Issue 6, Pages 894–919
DOI: https://doi.org/10.1134/S0001434611110289
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. G. Tsar'kov, “Stability of Unique Solvability of Quasilinear Equations Given Additional Data”, Mat. Zametki, 90:6 (2011), 918–946; Math. Notes, 90:6 (2011), 894–919
Citation in format AMSBIB
\Bibitem{Tsa11}
\by I.~G.~Tsar'kov
\paper Stability of Unique Solvability of Quasilinear Equations Given Additional Data
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 6
\pages 918--946
\mathnet{http://mi.mathnet.ru/mzm8556}
\crossref{https://doi.org/10.4213/mzm8556}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2962965}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 6
\pages 894--919
\crossref{https://doi.org/10.1134/S0001434611110289}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298659000028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855181480}
Linking options:
  • https://www.mathnet.ru/eng/mzm8556
  • https://doi.org/10.4213/mzm8556
  • https://www.mathnet.ru/eng/mzm/v90/i6/p918
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025