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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 288, Pages 204–231 (Mi znsl1590)  
This article is cited in 36 scientific papers (total in 36 papers)

Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm

V. A. Solonnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (295 kB) Citations (36)
Abstract: We obtain some estimates of solutions of evolution Stokes and Navier–Stokes equations in a bounded $n$-dimensional domian and we analyse the structure of the solution in the case of half-space using explicit formulas.
Received: 12.06.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 123, Issue 6, Pages 4637–4653
DOI: https://doi.org/10.1023/B:JOTH.0000041480.38912.3a
Bibliographic databases:
UDC: 517
Language: English
Citation: V. A. Solonnikov, “Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm”, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Zap. Nauchn. Sem. POMI, 288, POMI, St. Petersburg, 2002, 204–231; J. Math. Sci. (N. Y.), 123:6 (2004), 4637–4653
Citation in format AMSBIB
\Bibitem{Sol02}
\by V.~A.~Solonnikov
\paper Estimates of solutions of the Stokes equations in S.\,L.~Sobolev spaces with a mixed norm
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 288
\pages 204--231
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1590}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1923551}
\zmath{https://zbmath.org/?q=an:1068.35093}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 123
\issue 6
\pages 4637--4653
\crossref{https://doi.org/10.1023/B:JOTH.0000041480.38912.3a}
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    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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