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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 4, Pages 497–514
DOI: https://doi.org/10.1070/SM1972v017n04ABEH001599 (Mi sm3193) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols

V. V. Grushin
English version PDF (1059 kB) Citations (16)
References:
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DOI: https://doi.org/10.1070/SM1972v017n04ABEH001599
Abstract: Sufficient conditions are established for the hypoellipticity of pseudodifferential operators with operator-valued symbols. These results are used to prove the hypoellipticity of new classes of linear partial differential equations.
Bibliography: 43 titles.
Received: 11.06.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 88(130), Number 4(8), Pages 504–521
Bibliographic databases:
UDC: 517.9
MSC: Primary 35H05, 35S05; Secondary 47G05
Language: English
Original paper language: Russian
Citation: V. V. Grushin, “Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols”, Mat. Sb. (N.S.), 88(130):4(8) (1972), 504–521; Math. USSR-Sb., 17:4 (1972), 497–514
Citation in format AMSBIB
\Bibitem{Gru72}
\by V.~V.~Grushin
\paper Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 88(130)
\issue 4(8)
\pages 504--521
\mathnet{http://mi.mathnet.ru/sm3193}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=316879}
\zmath{https://zbmath.org/?q=an:0243.35020}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 4
\pages 497--514
\crossref{https://doi.org/10.1070/SM1972v017n04ABEH001599}
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  • https://www.mathnet.ru/eng/sm/v130/i4/p504
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:540
    Russian version PDF:171
    English version PDF:22
    References:56
     
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