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The nonlocal stefan problem for quasilinear parabolic equation

J. O. TakhirovNizami Tashkent State Pedagogical UniversityR. N. TuraevInstitute of Mathematics and Information Technologies of the Academy of Sciences of Uzbekistan
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In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder’s type are established. On the base of apriory estimations the existence and uniqueness theorems are proved.

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