2017
Том 69
№ 9

All Issues

Nonlocal Inverse Problem for a Parabolic Equation with Degeneration

Huzyk N. M.

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Abstract

We establish conditions for the existence and uniqueness of a classical solution of the inverse problem of determination of the time-dependent coefficient of the higher-order derivative in a parabolic equation with degeneration in the coefficient of the time derivative. We impose boundary conditions of the second kind and a nonlocal overdetermination condition. The case of weak degeneration is investigated.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 847-863.

Citation Example: Huzyk N. M. Nonlocal Inverse Problem for a Parabolic Equation with Degeneration // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 765–779.

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