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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 2, Pages 341–353
DOI: https://doi.org/10.1070/SM1991v070n02ABEH001256 (Mi sm1200) 		 
Lower bounds for the functional dimension of the solution space of hypoelliptic operators

G. G. Kazaryan, V. N. Markaryan

Erevan State Pedagogical Institute
English version PDF (677 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1991v070n02ABEH001256
Abstract: Lower bounds are established for the functional dimension of the solution space of hypoelliptic operators with constant coefficients. As a corollary of these estimates a criterion is found for the ellipticity of a differential operator in terms of the functional dimension.
Received: 01.03.1988
Bibliographic databases:
UDC: 517.9
MSC: Primary 35H05, 47F05; Secondary 54F45
Language: English
Original paper language: Russian
Citation: G. G. Kazaryan, V. N. Markaryan, “Lower bounds for the functional dimension of the solution space of hypoelliptic operators”, Math. USSR-Sb., 70:2 (1991), 341–353
Citation in format AMSBIB
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\by G.~G.~Kazaryan, V.~N.~Markaryan
\paper Lower bounds for the~functional dimension of the solution space of hypoelliptic operators
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 2
\pages 341--353
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\crossref{https://doi.org/10.1070/SM1991v070n02ABEH001256}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..70..341K}
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Russian version PDF:96
    English version PDF:12
    References:44
    First page:1
     
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