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On a Uniqueness of Solution for a Reaction-Diffusion Type System with a Free Boundary

A. N. ElmurodovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanM. S. RasulovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, Uzbekistan
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In this paper, the mixed two-phase Stefan problem for a system of reaction-diffusion equations is considered. The behavior of free boundaries is studied. A priori estimates of Schauder type are established, on the basis of which the unique solvability of the problem is proved.

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