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Mathematics of the USSR-Sbornik, 1981, Volume 38, Issue 2, Pages 151–173
DOI: https://doi.org/10.1070/SM1981v038n02ABEH001225 (Mi sm2439) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Estimates of solutions of parabolic systems in weighted Hölder classes and some of their applications

V. S. Belonosov
English version PDF (1288 kB) Citations (24)
References:
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DOI: https://doi.org/10.1070/SM1981v038n02ABEH001225
Abstract: Sharp a priori estimates of weighted norms of solutions of general boundary value problems for linear parabolic systems are established in the article. These results permit one, in particular, to estimate the maxima of the moduli of derivatives of any order of solutions of homogeneous boundary value problems in terms of appropriate uniform norms of the initial data. In conjunction with homogeneous boundary value problems, inhomogeneous boundary value problems are also considered. The estimates are used to study stability questions for stationary solutions of nonlinear systems.
Bibliography: 14 titles.
Received: 06.02.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 110(152), Number 2(10), Pages 163–188
Bibliographic databases:
UDC: 517.946
MSC: Primary 35K50, 35B45; Secondary 35K60, 35B35
Language: English
Original paper language: Russian
Citation: V. S. Belonosov, “Estimates of solutions of parabolic systems in weighted Hölder classes and some of their applications”, Mat. Sb. (N.S.), 110(152):2(10) (1979), 163–188; Math. USSR-Sb., 38:2 (1981), 151–173
Citation in format AMSBIB
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\by V.~S.~Belonosov
\paper Estimates of solutions of parabolic systems in weighted H\"older classes and some of their applications
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 110(152)
\issue 2(10)
\pages 163--188
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=552110}
\zmath{https://zbmath.org/?q=an:0453.35044|0434.35056}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 38
\issue 2
\pages 151--173
\crossref{https://doi.org/10.1070/SM1981v038n02ABEH001225}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LG68600001}
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  • https://doi.org/10.1070/SM1981v038n02ABEH001225
  • https://www.mathnet.ru/eng/sm/v152/i2/p163
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:1377
    Russian version PDF:324
    English version PDF:31
    References:85
     
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