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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 2, Pages 333–347
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003039 (Mi sm2163) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a functional index of hypoellipticity

G. G. Kazaryan
English version PDF (731 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1987v056n02ABEH003039
Abstract: The concept of hypoellipticity weight, which generalizes Hörmander's concept of index of hypoellipticity, is introduced for linear differential operators with constant coefficients. Exact formulas are derived for the hypoellipticity weight of regular hypoelliptic operators. These formulas are applied to determine more exactly the Gevrey classes to which the solutions of a regular hypoelliptic equation belong. The results are shown to be unimprovable in terms of Gevrey classes.
Bibliography: 23 titles.
Received: 20.06.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 3(11), Pages 339–353
Bibliographic databases:
UDC: 517.95
MSC: 35H05
Language: English
Original paper language: Russian
Citation: G. G. Kazaryan, “On a functional index of hypoellipticity”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 339–353; Math. USSR-Sb., 56:2 (1987), 333–347
Citation in format AMSBIB
\Bibitem{Kaz85}
\by G.~G.~Kazaryan
\paper On a~functional index of hypoellipticity
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 3(11)
\pages 339--353
\mathnet{http://mi.mathnet.ru/sm2163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815268}
\zmath{https://zbmath.org/?q=an:0609.35027}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 333--347
\crossref{https://doi.org/10.1070/SM1987v056n02ABEH003039}
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  • https://www.mathnet.ru/eng/sm/v170/i3/p339
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:370
    Russian version PDF:103
    English version PDF:17
    References:72
     
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