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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 288, Pages 104–133 (Mi znsl1586)  

This article is cited in 8 scientific papers (total in 9 papers)

On coersitive estimates for solutions to the linear systems of hydrodynamical type

O. A. Ladyzhenskaya, T. N. Shilkin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (311 kB) Citations (9)
Abstract: We prove local and nonlocal coersitive estimates in the spaces of Lebeque, Hölder and Morrey–Campanato for solutions of linear stationary systems of hydrodynamical type. For this purpose the techic proposed by Italian mathematicians for the study of solutions to the equations and systems of elliptic and parabolic types is developed.
Received: 21.04.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 123, Issue 6, Pages 4580–4596
DOI: https://doi.org/10.1023/B:JOTH.0000041476.69749.31
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. A. Ladyzhenskaya, T. N. Shilkin, “On coersitive estimates for solutions to the linear systems of hydrodynamical type”, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Zap. Nauchn. Sem. POMI, 288, POMI, St. Petersburg, 2002, 104–133; J. Math. Sci. (N. Y.), 123:6 (2004), 4580–4596
Citation in format AMSBIB
\Bibitem{LadShi02}
\by O.~A.~Ladyzhenskaya, T.~N.~Shilkin
\paper On coersitive estimates for solutions to the linear systems of hydrodynamical type
\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 104--133
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1586}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1923547}
\zmath{https://zbmath.org/?q=an:1068.35108}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 123
\issue 6
\pages 4580--4596
\crossref{https://doi.org/10.1023/B:JOTH.0000041476.69749.31}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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