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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 299–323 (Mi znsl506)  
This article is cited in 13 scientific papers (total in 14 papers)

$L_p$-theory of the Stefan problem

V. A. Solonnikova, E. V. Frolovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State Electrotechnical University
Full-text PDF (304 kB) Citations (14)
Abstract: Local solvability of the one-phase Stefan problem is established in anisotropic Sobolev spaces. There is no loss of regularity. Hanzawa transformation of the Stefan problem to a problem in a domain with a fixed boundary is modified.
Received: 12.12.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 1, Pages 989–1006
DOI: https://doi.org/10.1007/BF02673603
Bibliographic databases:
UDC: 517.948.34
Language: Russian
Citation: V. A. Solonnikov, E. V. Frolova, “$L_p$-theory of the Stefan problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 299–323; J. Math. Sci. (New York), 99:1 (2000), 989–1006
Citation in format AMSBIB
\Bibitem{SolFro97}
\by V.~A.~Solonnikov, E.~V.~Frolova
\paper $L_p$-theory of the Stefan problem
\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 299--323
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl506}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629753}
\zmath{https://zbmath.org/?q=an:0906.35119}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 1
\pages 989--1006
\crossref{https://doi.org/10.1007/BF02673603}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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