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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 181, Pages 3–23 (Mi znsl4726)  

This article is cited in 1 scientific paper (total in 1 paper)

Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations

A. V. Ivanov, P. Z. Mkrtychian
Full-text PDF (901 kB) Citations (1)
Abstract: The weighted estimate of the type
$$ u^\alpha|\nabla u|\leqslant \mathrm{const},\quad \alpha>0, $$
for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations is established.
English version:
Journal of Soviet Mathematics, 1992, Volume 62, Issue 2, Pages 2605–2619
DOI: https://doi.org/10.1007/BF01102634
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Ivanov, P. Z. Mkrtychian, “Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations”, Differential geometry, Lie groups and mechanics. Part 11, Zap. Nauchn. Sem. LOMI, 181, "Nauka", Leningrad. Otdel., Leningrad, 1990, 3–23; J. Soviet Math., 62:2 (1992), 2605–2619
Citation in format AMSBIB
\Bibitem{IvaMkr90}
\by A.~V.~Ivanov, P.~Z.~Mkrtychian
\paper Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations
\inbook Differential geometry, Lie groups and mechanics. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 181
\pages 3--23
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4726}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1097578}
\zmath{https://zbmath.org/?q=an:0784.35056|0742.35033}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 62
\issue 2
\pages 2605--2619
\crossref{https://doi.org/10.1007/BF01102634}
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  • https://www.mathnet.ru/eng/znsl/v181/p3
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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