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Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation

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arxiv 2306.03545 v3 pith:J4FROWZF submitted 2023-06-06 math.AP

Daurenbek Serikbaev , Michael Ruzhansky , Niyaz Tokmagambetov This is my paper · ORCID
classification math.AP
keywords inverseproblemcoefficientleadingdeterminingdirectequationheat
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In this paper, we investigate direct and inverse problems for the time-fractional heat equation with a time-dependent leading coefficient for positive operators. First, we consider the direct problem, and the unique existence of the generalized solution is established. We also deduce some regularity results. Here, our proofs are based on the eigenfunction expansion method. Second, we study the inverse problem of determining the leading coefficient, and the well-posedness of this inverse problem is proved.

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  1. Identification problems for anisotropic time-fractional subdiffusion equations

    math.AP 2025-07 conditional novelty 6.0 of 10

    For fractional-in-time subdiffusion with multiple spatial operators, the unknown constant coefficients are uniquely determined by n energy measurements at one time instant.

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