Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data t = T are given. We show that our problem is ill-posed in the sense of Hadamard. Applying a truncation method, we give the regularized solution. Finally, convergence estimates under a p...
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Veröffentlicht in: | Journal of inequalities and applications 2020-02, Vol.2020 (1), p.1-15, Article 53 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data
t
=
T
are given. We show that our problem is ill-posed in the sense of Hadamard. Applying a truncation method, we give the regularized solution. Finally, convergence estimates under
a priori
and
a posteriori
parameter choice rules are proved. |
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ISSN: | 1029-242X 1025-5834 1029-242X |
DOI: | 10.1186/s13660-020-02319-7 |