Publication: Inverse Problem of Determining the Absorption Coefficient in a Degenerate Parabolic Equation in the Class of L 2-Functions
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2020
Авторы
Kamynin, V. L.
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© 2020, Springer Science+Business Media, LLC, part of Springer Nature.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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Kamynin, V. L. Inverse Problem of Determining the Absorption Coefficient in a Degenerate Parabolic Equation in the Class of L 2-Functions / Kamynin, V.L. // Journal of Mathematical Sciences (United States). - 2020. - 250. - № 2. - P. 322-336. - 10.1007/s10958-020-05018-2