Coercive Estimates for Multilayer Degenerate Differential Operators.

Autor: Kazaryan, G. G.
Zdroj: Journal of Mathematical Sciences; Nov2024, Vol. 286 Issue 1, p89-108, 20p
Abstrakt: We obtain the conditions under which a given multilayer differential operator P(D) (polynomial P(ξ)) is more powerful than operator Q(D) (polynomial Q(ξ)). This is used to obtain estimates of monomials, which, in turn, using the theory of Fourier multipliers, is used to obtain coercive estimates of derivatives of functions through the differential operator P(D) applied to these functions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index