On Comparison of Power of Partially Hypoelliptic Polynomials

On Comparison of Power of Partially Hypoelliptic Polynomials

The operators (polynomials) partially hypoelliptic by Gårding, Malgrange, and Ehrenpreis and partially hypoelliptic by Burenkov are compared. The conditions under which the addition of minor terms to a partially hypoelliptic operator of the given type does not violate the type of its partial hypoell...

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Veröffentlicht in:Journal of contemporary mathematical analysis 2022-10, Vol.57 (5), p.289-295
Hauptverfasser: Margaryan, V. N., Ghazaryan, H. G.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Polynomials
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Zusammenfassung:The operators (polynomials) partially hypoelliptic by Gårding, Malgrange, and Ehrenpreis and partially hypoelliptic by Burenkov are compared. The conditions under which the addition of minor terms to a partially hypoelliptic operator of the given type does not violate the type of its partial hypoellipticity are established.
ISSN:1068-3623
1934-9416
DOI:10.3103/S106836232205003X