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A quasilinear parabolic equation of the reaction-diffusion type with free boundary

M. S. RasulovInstitute of Mathematics named after V.I.Romanovsky, 9 University Street, Olmazor district, Tashkent, 100174, UzbekistanА. У. Норов

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In this paper, we study the problem for a quasilinear parabolic equation with free boundary. To solve the problem, a priori estimates of the Hölder norms are established. On the basic of a priori estimates, the existence and uniqueness of the solution is proved.

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