Problem with free boundary for the systems of equations of reaction-diffusion type

We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to prove the existence and uniqueness of the solution.

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Datum:2017
Hauptverfasser: Rasulov, M. S., Takhirov, Zh. O., Расулов, М. С., Тахиров, Ж. О.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1812
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal