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Mathematics of the USSR-Sbornik, 1977, Volume 31, Issue 2, Pages 269–278
DOI: https://doi.org/10.1070/SM1977v031n02ABEH002302 (Mi sm2685) 		 
On the hypoellipticity of infinite-dimensional differential operators

N. N. Frolov
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DOI: https://doi.org/10.1070/SM1977v031n02ABEH002302
Abstract: An infinite-dimensional differential operator with constant coefficients is considered in the paper. A number of necessary conditions for the hypoellipticity of such an operator are proved. These conditions are also sufficient for the hypoellipticity of finite-dimensional differential operators.
Bibliography: 10 titles.
Received: 17.10.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1977, Volume 102(144), Number 2, Pages 302–313
Bibliographic databases:
UDC: 517.9
MSC: Primary 47F05; Secondary 35H05
Language: English
Original paper language: Russian
Citation: N. N. Frolov, “On the hypoellipticity of infinite-dimensional differential operators”, Mat. Sb. (N.S.), 102(144):2 (1977), 302–313; Math. USSR-Sb., 31:2 (1977), 269–278
Citation in format AMSBIB
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\by N.~N.~Frolov
\paper On the hypoellipticity of infinite-dimensional differential operators
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\yr 1977
\vol 102(144)
\issue 2
\pages 302--313
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\zmath{https://zbmath.org/?q=an:0351.35021|0385.35016}
\transl
\jour Math. USSR-Sb.
\yr 1977
\vol 31
\issue 2
\pages 269--278
\crossref{https://doi.org/10.1070/SM1977v031n02ABEH002302}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1977FY72200010}
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    Russian version PDF:76
    English version PDF:9
    References:52
     
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