Inverse initial-value problem in the spaces of Bessel potentials

UDC 517.95 We study the inverse problem of reconstruction (in the entire scale of spaces of Bessel potentials) of the initial values of the solution to a time-space fractional diffusion equation with a time-integral additional condition. We also establish sufficient conditions for the unique solvabi...

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Bibliographic Details
Date:2026
Main Authors: Boyko, P., Lopushansky, A., Lopushanska, H., Бойко, Петро, Лопушанський, Андрій, Лопушанська, Галина
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9199
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal