On one problem with free boundary for a nonlinear system

• Datum: 1996
• Hauptverfasser: Bazalii, B. V., Krasnoshchok, M. V., Базалий, Б. В., Краснощек, Н. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5231
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 “...