We study the unique solvability of the inverse problem of determining the time-dependent lower order coefficient in a degenerate parabolic equation with one spatial variable under an additional integral observation condition. The unknown absorption coefficient is sought in the space L2(0, T). We prove the time-local existence and global uniqueness of a solution to the inverse problem.
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Translated from Problemy Matematicheskogo Analiza 105, 2020, pp. 121-133.
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Kamynin, V.L. Inverse Problem of Determining the Absorption Coefficient in a Degenerate Parabolic Equation in the Class of L2-Functions. J Math Sci 250, 322–336 (2020). https://doi.org/10.1007/s10958-020-05018-2
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DOI: https://doi.org/10.1007/s10958-020-05018-2