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On one problem with free boundary for a nonlinear system

We formulate the filtration problem with free boundary as a problem with discontinuous nonlinearity for a degenerate elliptic or parabolic system. We prove that a solution of the Dirichlet problem exists in both cases. We study some qualitative properties of these solutions, e.g., the existence of “...

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Bibliographic Details
Date:	1996
Main Authors:	Bazalii, B. V., Krasnoshchok, M. V., Базалий, Б. В., Краснощек, Н. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5231
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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