Eurasian Mathematical Journal
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


Eurasian Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Eurasian Mathematical Journal, 2018, Volume 9, Number 2, Pages 34–43 (Mi emj295)  
On the symbol of nonlocal operators associated with a parabolic diffeomorphism

N. R. Izvarina

S.M. Nikol'skii Mathematical Institute, RUDN University, 6 Miklukho-Maklay St, 117198, Moscow, Russian Federation
Full-text PDF (451 kB)
References:
PDF
HTML
Abstract: We study the ellipticity of the symbols of operators associated with parabolic diffeomorphisms of spheres and we show, that if for some smoothness exponent of the Sobolev space the symbol of an operator is invertible, then the symbol is invertible for all exponents of Sobolev spaces.
Keywords and phrases: Sobolev spaces, pseudodifferential operators, symbol, ellipticity, parabolic diffeomorphism.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00373_а
The present result was supported by RFBR grant 16-01-00373 (topic no. 022004-2-693).
Received: 12.02.2017
Document Type: Article
MSC: 35S05, 47G30, 46E39
Language: English
Citation: N. R. Izvarina, “On the symbol of nonlocal operators associated with a parabolic diffeomorphism”, Eurasian Math. J., 9:2 (2018), 34–43
Citation in format AMSBIB
\Bibitem{Izv18}
\by N.~R.~Izvarina
\paper On the symbol of nonlocal operators associated with a parabolic diffeomorphism
\jour Eurasian Math. J.
\yr 2018
\vol 9
\issue 2
\pages 34--43
\mathnet{http://mi.mathnet.ru/emj295}
Linking options:
  • https://www.mathnet.ru/eng/emj295
  • https://www.mathnet.ru/eng/emj/v9/i2/p34
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025