We establish conditions for the existence and uniqueness of a solution of the inverse problem for a onedimensional quasilinear parabolic equation with an unknown coefficient of the time derivative in the case of boundary conditions of the second kind.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 20–33, January–March, 2009.
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Fedus’, U.M. Identification of the coefficient of the time derivative in a quasilinear parabolic equation. J Math Sci 168, 523–543 (2010). https://doi.org/10.1007/s10958-010-0004-0
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DOI: https://doi.org/10.1007/s10958-010-0004-0