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, 2021, Volume 212, Issue 12, Pages 1730–1745
DOI: https://doi.org/10.1070/SM9503 (Mi sm9503) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of $\mathbb R^2$

P. V. Paramonovabc

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
b Saint Petersburg State University, St. Petersburg, Russia
c Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
English version PDF (539 kB) Citations (8) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9503
Abstract: Criteria for the uniform approximation of functions by solutions of second-order strongly elliptic equations on compact subsets of $\mathbb R^2$ are obtained using the method of reduction to similar problems in $\mathbb R^3$, which were previously investigated by Mazalov. A number of metric properties of the capacities used are established.
Bibliography: 16 titles.
Keywords: uniform approximation, strongly elliptic equations of second order, Vitushkin-type localization operator, $L$-oscillation, $L$-capacity, method of reduction.
Funding agency Grant number
Russian Science Foundation 17-11-01064-П
This research was supported by the Russian Science Foundation under grant no. 17-11-01064-П.
Received: 15.09.2020 and 22.03.2021
Bibliographic databases:
Document Type: Article
UDC: 517.548+517.57+517.951
MSC: Primary 35A35, 35J15; Secondary 30E10
Language: English
Original paper language: Russian
Citation: P. V. Paramonov, “Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of $\mathbb R^2$”, Sb. Math., 212:12 (2021), 1730–1745
Citation in format AMSBIB
\Bibitem{Par21}
\by P.~V.~Paramonov
\paper Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of~$\mathbb R^2$
\jour Sb. Math.
\yr 2021
\vol 212
\issue 12
\pages 1730--1745
\mathnet{http://mi.mathnet.ru//eng/sm9503}
\crossref{https://doi.org/10.1070/SM9503}
\zmath{https://zbmath.org/?q=an:1500.35010}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021SbMat.212.1730P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000760500000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129086712}
Linking options:
  • https://www.mathnet.ru/eng/sm9503
  • https://doi.org/10.1070/SM9503
  • https://www.mathnet.ru/eng/sm/v212/i12/p77
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:252
    Russian version PDF:34
    English version PDF:24
    Russian version HTML:93
    References:29
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024