On solubility of problems of clectromagnetoelasticity with memory

• Date: 2025
• Main Authors: Mitropolsky , Yu. A., Kurbanov , I., Митропольский , Ю. А., Курбанов , И.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9617
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Questions are studied of the solvability of boundary value problems of electromagneticelasticity for media with memory. Theorems are proved on the existence and uniqueness of the solution of the indicated problems in the spaces $C(0,T; W^1_2(\Omega))$  and $C(0,T; L^2_{(\Omega)})$. In proving the ex...