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Inverse problem of finding the time-dependent functions in minor coefficient of parabolic equation in a free boundary domain. (Ukrainian, English) Zbl 1313.35137

Mat. Metody Fiz.-Mekh. Polya 56, No. 2, 37-47 (2013); translation in J. Math. Sci., New York 203, No. 1, 40-54 (2014).
In the paper the author establishes unique solvability conditions for the inverse problem of finding the time-dependent parameters in the coefficient of the unknown function in a one-dimensional parabolic equation in a free boundary domain.

MSC:

35K10 Second-order parabolic equations
35K05 Heat equation
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