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The free boundary problem without initial condition
Authors:Jozil O. Takhirov  Rasul N. Turaev
Affiliation:1. Institute of Mathematics and Informational Technologies of the AS of RUz, 29, Durmon iyuli Str., Tashkent, 100125, Uzbekistan
Abstract:We consider an analog of the problem of the impact of a viscoplastic rod on the wall under a nonlinear boundary condition. We investigate the behavior of the free boundary on a given time interval and as t????. We obtained a priori estimates of H?lder norms and proved the theorems of uniqueness and existence of the solution.
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