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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 222, Pages 124–150 (Mi znsl4312)  
This article is cited in 25 scientific papers (total in 25 papers)

Estimates for solutions of the nonstationairy Stokes problem in anisotropic Sobolev spaces with mixed norm

P. Maremontia, V. A. Solonnikovb

a Dipartimento di Matematica, Universitá della Basilicata, Potenza, Italia
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (818 kB) Citations (25)
Abstract: A new method is given to establish $L_{q,r}$-estimates for solutions of the nonstationary Stokes problem. The method is based on estimates for heat potentials in these spaces, and it is not connected with investigation of the resolvent for the Stokes operator. It is expected that the method is applicable to a wide class of parabolic initial boundary-value problems. Bibliography: 10 titles.
Received: 19.01.1995
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 5, Pages 3859–3877
DOI: https://doi.org/10.1007/BF02355828
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: P. Maremonti, V. A. Solonnikov, “Estimates for solutions of the nonstationairy Stokes problem in anisotropic Sobolev spaces with mixed norm”, Investigations on linear operators and function theory. Part 23, Zap. Nauchn. Sem. POMI, 222, POMI, St. Petersburg, 1995, 124–150; J. Math. Sci. (New York), 87:5 (1997), 3859–3877
Citation in format AMSBIB
\Bibitem{MarSol95}
\by P.~Maremonti, V.~A.~Solonnikov
\paper Estimates for solutions of the nonstationairy Stokes problem in anisotropic Sobolev spaces with mixed norm
\inbook Investigations on linear operators and function theory. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 222
\pages 124--150
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4312}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1359996}
\zmath{https://zbmath.org/?q=an:0909.35105|0888.35080}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 5
\pages 3859--3877
\crossref{https://doi.org/10.1007/BF02355828}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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