2017
Том 69
№ 6

All Issues

Stefan problem for a weakly degenerate parabolic equation

Hryntsiv N. M.

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Abstract

In a domain with free boundary, we consider the inverse problem for the determination of time dependent coefficient of the first derivative of unknown fonction in a parabolic equation with weak power degeneration. As overdetermination conditions, the Stefan condition and the integral condition are given. Conditions for the existence and uniqueness of the classical solution of considered problem are established.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 5, pp 742-758.

Citation Example: Hryntsiv N. M. Stefan problem for a weakly degenerate parabolic equation // Ukr. Mat. Zh. - 2011. - 63, № 5. - pp. 640-653.

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