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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 254–279 (Mi znsl1062)  
This article is cited in 12 scientific papers (total in 13 papers)

Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with Hölder continuous derivatives with respect to spatial variables

V. A. Solonnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (302 kB) Citations (13)
Abstract: It is known that the solutions of parabolic initial boundary-value problems can be estimates in the Hölder norms with respect to the spatial variables for any fixed positive value of time in terms of similar norms of the data. We obtain estimate of this type for the solutions on nonstationary Stokes equations with stresses prescribed on the boundary.
Received: 01.12.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1997–2017
DOI: https://doi.org/10.1023/A:1014456711451
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. A. Solonnikov, “Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with Hölder continuous derivatives with respect to spatial variables”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 254–279; J. Math. Sci. (New York), 109:5 (2002), 1997–2017
Citation in format AMSBIB
\Bibitem{Sol99}
\by V.~A.~Solonnikov
\paper Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with H\"older continuous derivatives with respect to spatial variables
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 259
\pages 254--279
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1062}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754367}
\zmath{https://zbmath.org/?q=an:1153.76349}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1997--2017
\crossref{https://doi.org/10.1023/A:1014456711451}
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  • https://www.mathnet.ru/eng/znsl/v259/p254
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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