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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2011, Volume 7, Number 4, Pages 295–332 (Mi jmag516)  
This article is cited in 1 scientific paper (total in 1 paper)

Classical solution of a degenerate elliptic-parabolic free boundary problem

B. V. Bazaliy, S. P. Degtyarev

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, 74 R. Luxemburg Str., Donetsk 83114, Ukraine
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Abstract: 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 Hölder space is proved
Key words and phrases: elliptic and parabolic equations, free boundary problems, classical solutions, a priori estimates.
Received: 11.03.2011
Bibliographic databases:
Document Type: Article
MSC: 35K65, 35R35
Language: English
Citation: B. V. Bazaliy, S. P. Degtyarev, “Classical solution of a degenerate elliptic-parabolic free boundary problem”, Zh. Mat. Fiz. Anal. Geom., 7:4 (2011), 295–332
Citation in format AMSBIB
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\by B.~V.~Bazaliy, S.~P.~Degtyarev
\paper Classical solution of a degenerate elliptic-parabolic free boundary problem
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2011
\vol 7
\issue 4
\pages 295--332
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    • This publication is cited in the following 1 articles:
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