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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 233, Pages 63–100 (Mi znsl3662)  
This article is cited in 2 scientific papers (total in 2 papers)

Gradient estimates for doubly nonlinear parabolic equations

A. V. Ivanov

С.-Петербургское отделение Математического института им. В. А. Стеклова РАН
Full-text PDF (1549 kB) Citations (2)
Abstract: The local gradient estimates for weak solutions of equation
$$ u_t-\operatorname{div}\{|u|^l|Du|^{m-2}Du\}=0 $$
are established in the case $m>1$, $0\le l<1$. In the case $m>1$, $l\ge1$ some weight gradient estimates are obtained. Bibl. 19 titles.
Received: 01.12.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 5, Pages 661–688
DOI: https://doi.org/10.1007/BF02366846
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: A. V. Ivanov, “Gradient estimates for doubly nonlinear parabolic equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Zap. Nauchn. Sem. POMI, 233, POMI, St. Petersburg, 1996, 63–100; J. Math. Sci. (New York), 93:5 (1999), 661–688
Citation in format AMSBIB
\Bibitem{Iva96}
\by A.~V.~Ivanov
\paper Gradient estimates for doubly nonlinear parabolic equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 233
\pages 63--100
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3662}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1699117}
\zmath{https://zbmath.org/?q=an:0932.35117}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 5
\pages 661--688
\crossref{https://doi.org/10.1007/BF02366846}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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