Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra

UDC 517.5 Necessary and sufficient conditions are established for the existence of the continuations of gradients of biharmonic functions $u_1$ and $u_2$ across a smooth curve $\Gamma$ ($u_k \colon D_k \longrightarrow \mathbb{R},$ $k=1,2,$ and $\Gamma$ is a common part of the boundaries of $D_1$ and...

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Bibliographic Details
Date:2024
Main Authors: Gryshchuk, S., Грищук, Сергій
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7867
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal