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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
English version PDF (585 kB) Russian version article
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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
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”, 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
\jour Math. USSR-Sb.
\yr 1977
\vol 31
\issue 2
\pages 269--278
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\crossref{https://doi.org/10.1070/SM1977v031n02ABEH002302}
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\zmath{https://zbmath.org/?q=an:0351.35021|0385.35016}
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