Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 4, Pages 849–866
DOI: https://doi.org/10.33048/smzh.2020.61.409 (Mi smj6023) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The singular values of compact pseudodifferential operators with spatially nonsmooth symbols

A. I. Karol'

St. Petersburg State University, Mathematics and Mechanics Faculty
Full-text PDF (560 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2020.61.409
Abstract: Considering compact pseudodifferential operators with symbols whose smoothness in $x$ vanishes on a prescribed set, we obtain some validity conditions for the Weyl spectral asymptotics of singular values. These results are applied to the symbols whose decay order as $|\xi| \to \infty$ is a nonsmooth function of $x$.
Keywords: pseudodifferential operator, nonsmooth symbol, singular values, Weyl's asymptotics.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00472_а
The author was supported by the Russian Foundation for Basic Research (Grant 18–01–00472).
Received: 28.10.2019
Revised: 24.03.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 4, Pages 671–686
DOI: https://doi.org/10.1134/S0037446620040096
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35R30
Language: Russian
Citation: A. I. Karol', “The singular values of compact pseudodifferential operators with spatially nonsmooth symbols”, Sibirsk. Mat. Zh., 61:4 (2020), 849–866; Siberian Math. J., 61:4 (2020), 671–686
Citation in format AMSBIB
\Bibitem{Kar20}
\by A.~I.~Karol'
\paper The singular values of compact pseudodifferential operators with spatially nonsmooth symbols
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 4
\pages 849--866
\mathnet{http://mi.mathnet.ru/smj6023}
\crossref{https://doi.org/10.33048/smzh.2020.61.409}
\elib{https://elibrary.ru/item.asp?id=45391438}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 4
\pages 671--686
\crossref{https://doi.org/10.1134/S0037446620040096}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000554787900009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088780548}
Linking options:
  • https://www.mathnet.ru/eng/smj6023
  • https://www.mathnet.ru/eng/smj/v61/i4/p849
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:159
    Full-text PDF :70
    References:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024