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Russian Mathematical Surveys, 1971, Volume 26, Issue 2, Pages 139–156
DOI: https://doi.org/10.1070/RM1971v026n02ABEH003821 (Mi rm5195) 		 
This article is cited in 5 scientific papers (total in 6 papers)

On local smoothness of generalized and hypoellipticity of second order differential equations

O. A. Oleinik, E. V. Radkevich
English version PDF (871 kB) Citations (6)
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DOI: https://doi.org/10.1070/RM1971v026n02ABEH003821
Abstract: The paper gives a survey of results on hypoellipticity of second order differential operators. In particular, our new theorems together with earlier results give a necessary and sufficient condition for hypoellipticity of a general second order differential operator with analytic coefficients, provided that it is not fully degenerate at any point of the domain.
We dedicate this paper to I. G. Petrovskii on the occasion of his seventieth birthday.
Russian version:
Uspekhi Matematicheskikh Nauk, 1971, Volume 26, Issue 2(158), Pages 265–281
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35H10, 35Sxx, 35B65, 35L10, 35J15
Language: English
Original paper language: Russian
Citation: O. A. Oleinik, E. V. Radkevich, “On local smoothness of generalized and hypoellipticity of second order differential equations”, Uspekhi Mat. Nauk, 26:2(158) (1971), 265–281; Russian Math. Surveys, 26:2 (1971), 139–156
Citation in format AMSBIB
\Bibitem{OleRad71}
\by O.~A.~Oleinik, E.~V.~Radkevich
\paper On local smoothness of generalized and hypoellipticity of second order differential equations
\jour Uspekhi Mat. Nauk
\yr 1971
\vol 26
\issue 2(158)
\pages 265--281
\mathnet{http://mi.mathnet.ru/rm5195}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=313624}
\zmath{https://zbmath.org/?q=an:0214.10005}
\transl
\jour Russian Math. Surveys
\yr 1971
\vol 26
\issue 2
\pages 139--156
\crossref{https://doi.org/10.1070/RM1971v026n02ABEH003821}
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  • https://doi.org/10.1070/RM1971v026n02ABEH003821
  • https://www.mathnet.ru/eng/rm/v26/i2/p265
    • This publication is cited in the following 6 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:440
    Russian version PDF:168
    English version PDF:25
    References:79
    First page:3
     
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