On elliptic systems in Hörmander spaces

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. A...

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Bibliographic Details
Date:2009
Main Authors: Murach, A. A., Мурач, А. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3027
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal