Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem

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...

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Veröffentlicht in:Журнал математической физики, анализа, геометрии
Datum:2011
Hauptverfasser: Bazaliy, B.V., Degtyarev, S.P.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/106687
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-106687
record_format dspace
spelling Bazaliy, B.V.
Degtyarev, S.P.
2016-10-02T20:16:30Z
2016-10-02T20:16:30Z
2011
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.
1812-9471
https://nasplib.isofts.kiev.ua/handle/123456789/106687
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 space is proved.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Журнал математической физики, анализа, геометрии
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
spellingShingle Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
Bazaliy, B.V.
Degtyarev, S.P.
title_short Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
title_full Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
title_fullStr Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
title_full_unstemmed Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
title_sort classical solution of a degenerate elliptic-parabolic free boundary problem
author Bazaliy, B.V.
Degtyarev, S.P.
author_facet Bazaliy, B.V.
Degtyarev, S.P.
publishDate 2011
language English
container_title Журнал математической физики, анализа, геометрии
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description 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 space is proved.
issn 1812-9471
url https://nasplib.isofts.kiev.ua/handle/123456789/106687
citation_txt 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.
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first_indexed 2025-12-07T20:53:01Z
last_indexed 2025-12-07T20:53:01Z
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