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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
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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
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 7, Pages 910–922
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”, Mat. Sb., 181:7 (1990), 910–922; Math. USSR-Sb., 70:2 (1991), 341–353
Citation in format AMSBIB
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 2
\pages 341--353
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  • https://doi.org/10.1070/SM1991v070n02ABEH001256
  • https://www.mathnet.ru/eng/sm/v181/i7/p910
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:324
    Russian version PDF:90
    English version PDF:11
    References:43
    First page:1
     
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