New forms of the Lopatynsky condition

UDC 517.956.223+512.64 We present known forms of the Lopatynsky condition of ellipticity of a problem for a linear regularly elliptic system of equations and determine new forms of this condition. Several examples of its application to various elliptic systems of equations are considered.

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Bibliographic Details
Date:2025
Main Authors: Il’kiv, V., Ільків, Володимир
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2025
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8534
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal