Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2011
• Main Authors: Bazaliy, B.V., Degtyarev, S.P.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106687
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem / B.V. Bazaliy, S.P. Degtyarev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 4. — С. 295-332. — Бібліогр.: 13 назв. — англ.

A free boundary problem describing a filtration process in a porous medium is considered. An unknown interface divides the filtration domain into elliptic and parabolic regions. In the parabolic region the governing equation is degenerate. The existence of a smooth solution in the weighted Holder sp...