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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 224–275 (Mi znsl1358)  
This article is cited in 9 scientific papers (total in 9 papers)

Initial boundary-value problem for generalized Stokes equations in the half-space

V. A. Solonnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (418 kB) Citations (9)
Abstract: The paper contains construction of the solution of the Cauchy–Dirichlet problem in the half-space $\mathbb R^3_+$ for a family of systems of differential equations containing the Stokes system. For this solution coercive estimates in the Hölder spaces of functions are obtained.
Received: 24.08.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 6, Pages 2832–2861
DOI: https://doi.org/10.1023/A:1023382122038
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. A. Solonnikov, “Initial boundary-value problem for generalized Stokes equations in the half-space”, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Zap. Nauchn. Sem. POMI, 271, POMI, St. Petersburg, 2000, 224–275; J. Math. Sci. (N. Y.), 115:6 (2003), 2832–2861
Citation in format AMSBIB
\Bibitem{Sol00}
\by V.~A.~Solonnikov
\paper Initial boundary-value problem for generalized Stokes equations in the half-space
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 271
\pages 224--275
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1810619}
\zmath{https://zbmath.org/?q=an:1027.76010}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 6
\pages 2832--2861
\crossref{https://doi.org/10.1023/A:1023382122038}
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  • https://www.mathnet.ru/eng/znsl/v271/p224
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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