Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 3, Pages 543–561
DOI: https://doi.org/10.1070/IM1989v032n03ABEH000780 (Mi im1193) 		 
On the symbols of degenerate elliptic differential and hypoelliptic pseudodifferential operators

S. Z. Levendorskii
English version PDF (1021 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1989v032n03ABEH000780
Abstract: The author presents a general method of reducing the study of various degenerate operators to that of model operators with quasihomogeneous symbols whose hypoellipticity conditions are formulated in terms of an auxiliary operator-valued symbol. A set of symbols is constructed whose invertibility implies hypoellipticity.
Bibliography: 13 titles.
Received: 18.02.1986
Bibliographic databases:
UDC: 517.948
MSC: Primary 35J70, 35S15; Secondary 35J55
Language: English
Original paper language: Russian
Citation: S. Z. Levendorskii, “On the symbols of degenerate elliptic differential and hypoelliptic pseudodifferential operators”, Math. USSR-Izv., 32:3 (1989), 543–561
Citation in format AMSBIB
\Bibitem{Lev88}
\by S.~Z.~Levendorskii
\paper On~the symbols of degenerate elliptic differential and hypoelliptic pseudodifferential operators
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 3
\pages 543--561
\mathnet{http://mi.mathnet.ru//eng/im1193}
\crossref{https://doi.org/10.1070/IM1989v032n03ABEH000780}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=954296}
\zmath{https://zbmath.org/?q=an:0672.35075}
Linking options:
  • https://www.mathnet.ru/eng/im1193
  • https://doi.org/10.1070/IM1989v032n03ABEH000780
  • https://www.mathnet.ru/eng/im/v52/i3/p541
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024