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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 336, Pages 239–263 (Mi znsl204)  
This article is cited in 2 scientific papers (total in 2 papers)

Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero

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 (275 kB) Citations (2)
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Abstract: We prove estimates in weighted Hölder norms for a solution to the model linear problem related with the one-phase Stefan problem with a small multiplier $\varepsilon$ at time derivative in the heat equation. These estimates are uniform with respect to parameter $\varepsilon$ and will be significant in the justification of passage to the limit in the one-phase Stefan problem with the specific heat tends to zero.
Received: 08.09.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 2, Pages 2987–3003
DOI: https://doi.org/10.1007/s10958-007-0180-8
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. A. Solonnikov, E. V. Frolova, “Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero”, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Zap. Nauchn. Sem. POMI, 336, POMI, St. Petersburg, 2006, 239–263; J. Math. Sci. (N. Y.), 143:2 (2007), 2987–3003
Citation in format AMSBIB
\Bibitem{SolFro06}
\by V.~A.~Solonnikov, E.~V.~Frolova
\paper Weighted estimates of a~solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 336
\pages 239--263
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270887}
\zmath{https://zbmath.org/?q=an:1123.35093}
\elib{https://elibrary.ru/item.asp?id=9307461}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 2
\pages 2987--3003
\crossref{https://doi.org/10.1007/s10958-007-0180-8}
\elib{https://elibrary.ru/item.asp?id=13560127}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247391415}
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  • https://www.mathnet.ru/eng/znsl/v336/p239
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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