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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| Datum: | 2026 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9199 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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 solvability of the inverse problem. |
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| DOI: | 10.3842/umzh.v77i11.9199 |