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, 1987, Volume 56, Issue 2, Pages 333–347
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003039 (Mi sm2163) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a functional index of hypoellipticity

G. G. Kazaryan
English version PDF (731 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003039
Abstract: The concept of hypoellipticity weight, which generalizes Hörmander's concept of index of hypoellipticity, is introduced for linear differential operators with constant coefficients. Exact formulas are derived for the hypoellipticity weight of regular hypoelliptic operators. These formulas are applied to determine more exactly the Gevrey classes to which the solutions of a regular hypoelliptic equation belong. The results are shown to be unimprovable in terms of Gevrey classes.
Bibliography: 23 titles.
Received: 20.06.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 3(11), Pages 339–353
Bibliographic databases:
UDC: 517.95
MSC: 35H05
Language: English
Original paper language: Russian
Citation: G. G. Kazaryan, “On a functional index of hypoellipticity”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 339–353; Math. USSR-Sb., 56:2 (1987), 333–347
Citation in format AMSBIB
\Bibitem{Kaz85}
\by G.~G.~Kazaryan
\paper On a~functional index of hypoellipticity
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 3(11)
\pages 339--353
\mathnet{http://mi.mathnet.ru/sm2163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815268}
\zmath{https://zbmath.org/?q=an:0609.35027}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 333--347
\crossref{https://doi.org/10.1070/SM1987v056n02ABEH003039}
Linking options:
  • https://www.mathnet.ru/eng/sm2163
  • https://doi.org/10.1070/SM1987v056n02ABEH003039
  • https://www.mathnet.ru/eng/sm/v170/i3/p339
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:350
    Russian version PDF:100
    English version PDF:15
    References:69
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024