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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 30–60 (Mi znsl494)  
This article is cited in 3 scientific papers (total in 3 papers)

On the classical solvability of one-dimensional free boundary Florin, Muskat–Verigin and Stefan problems

G. I. Bizhanova

Institute of Theoretical and Applied Mathematics, Kazakh Academy of Sciences
Full-text PDF (336 kB) Citations (3)
Abstract: Three one-dimensional free boundary problems (Florin, Muskat–Verigin and Stefan) for the second order parabolic equations are studied. The theorems of existence and uniqueness for the solutions in Holder spaces for small time are proved, the coercive estimates for the solutions are obtained.
Received: 02.10.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 1, Pages 816–836
DOI: https://doi.org/10.1007/BF02673591
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: G. I. Bizhanova, “On the classical solvability of one-dimensional free boundary Florin, Muskat–Verigin and Stefan problems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 30–60; J. Math. Sci. (New York), 99:1 (2000), 816–836
Citation in format AMSBIB
\Bibitem{Biz97}
\by G.~I.~Bizhanova
\paper On the classical solvability of one-dimensional free boundary Florin, Muskat--Verigin and Stefan problems
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 243
\pages 30--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629928}
\zmath{https://zbmath.org/?q=an:0905.35098}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 1
\pages 816--836
\crossref{https://doi.org/10.1007/BF02673591}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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