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Russian Mathematical Surveys, 1975, Volume 30, Issue 3, Pages 55–105
DOI: https://doi.org/10.1070/RM1975v030n03ABEH001412
(Mi rm4118)
 

This article is cited in 10 scientific papers (total in 11 papers)

Subelliptic operators

Yu. V. Egorov
References:
Abstract: In this article we study conditions on the symbol of differential or pseudodifferential operators that characterize them as belonging to the class of subelliptic operators, the properties of which are close to those of elliptic operators. We give for the first time full proofs of the theorem about the equivalence of the algebraic conditions on the principal symbol and the conditions for subellipticity. Our results can be used in the study of boundary value problems for elliptic equations.
Russian version:
Uspekhi Matematicheskikh Nauk, 1975, Volume 30, Issue 3(183), Pages 57–104
Bibliographic databases:
Document Type: Article
UDC: 517.4
MSC: 35Sxx, 35H20, 47G30
Language: English
Original paper language: Russian
Citation: Yu. V. Egorov, “Subelliptic operators”, Uspekhi Mat. Nauk, 30:3(183) (1975), 57–104; Russian Math. Surveys, 30:3 (1975), 55–105
Citation in format AMSBIB
\Bibitem{Ego75}
\by Yu.~V.~Egorov
\paper Subelliptic operators
\jour Uspekhi Mat. Nauk
\yr 1975
\vol 30
\issue 3(183)
\pages 57--104
\mathnet{http://mi.mathnet.ru/rm4118}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410474}
\zmath{https://zbmath.org/?q=an:0309.35068|0331.35054}
\transl
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 3
\pages 55--105
\crossref{https://doi.org/10.1070/RM1975v030n03ABEH001412}
Linking options:
  • https://www.mathnet.ru/eng/rm4118
  • https://doi.org/10.1070/RM1975v030n03ABEH001412
  • https://www.mathnet.ru/eng/rm/v30/i3/p57
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:361
    Russian version PDF:208
    English version PDF:28
    References:54
    First page:1
     
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