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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 6, Pages 123–129 (Mi smj815)  

This article is cited in 3 scientific papers (total in 3 papers)

Solvability of nonlinear parabolic problems

M. M. Lavrent'ev (Jn.)
Full-text PDF (751 kB) Citations (3)
Abstract: We obtain estimates for gradients of solutions to some parabolic equations not satisfying the known conditions of the Bernstein type. The estimates are valid for special initial data which depend on properties of solutions to the ordinary differential equations that determine stationary solutions to parabolic equations. In consequence to the estimates obtained, we infer theorems on classical solvability of the parabolic problems under consideration.
Received: 10.11.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 6, Pages 1110–1116
DOI: https://doi.org/10.1007/BF00973474
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. M. Lavrent'ev (Jn.), “Solvability of nonlinear parabolic problems”, Sibirsk. Mat. Zh., 34:6 (1993), 123–129; Siberian Math. J., 34:6 (1993), 1110–1116
Citation in format AMSBIB
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\by M.~M.~Lavrent'ev (Jn.)
\paper Solvability of nonlinear parabolic problems
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 6
\pages 123--129
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268163}
\zmath{https://zbmath.org/?q=an:0804.35061}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 6
\pages 1110--1116
\crossref{https://doi.org/10.1007/BF00973474}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MQ34600012}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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