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Inverse Problems of Finding the Lower Term in a Multidimensional Degenerate Parabolic Equation

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We study the inverse problem of recovering the lower term of a degenerate parabolic equation with many spatial variables under an additional integral observation condition. We establish sufficient conditions for the unique solvability of the inverse problem in the four cases where the unknown coefficient is looked for in 1) the space L2(0, T), 2) the class of nonnegative functions in L2(0, T), 3) the space L∞(0, T), 4) the class of nonnegative functions in L∞(0, T).

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Authors and Affiliations

  1. National Research Nuclear University (MEPhI), 31, Kashirskoe shosse, Moscow, 115409, Russia

    V. L. Kamynin

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  1. V. L. Kamynin
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Correspondence to V. L. Kamynin.

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Kamynin, V.L. Inverse Problems of Finding the Lower Term in a Multidimensional Degenerate Parabolic Equation. J Math Sci 274, 493–510 (2023). https://doi.org/10.1007/s10958-023-06615-7

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  • DOI: https://doi.org/10.1007/s10958-023-06615-7

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