2017
Том 69
№ 9

# On elliptic systems in Hörmander spaces

Murach A. A.

Abstract

We study a linear system of pseudodifferential equations uniformly elliptic in Petrovskii’s sense in the Hilbert scale of Hörmander functional spaces defined in $ℝ_n$. An a priori estimate is proved for the solution of the system and its interior smoothness in this scale of spaces is investigated. As an application, we establish a sufficient condition for the existence of continuous bounded derivatives of the solution.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 3, pp 467-477.

Citation Example: Murach A. A. On elliptic systems in Hörmander spaces // Ukr. Mat. Zh. - 2009. - 61, № 3. - pp. 391-399.

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