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

• Datum: 2024
• Hauptverfasser: Gryshchuk, S., Грищук, Сергій
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7867
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...