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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 171, Pages 70–105 (Mi znsl4473)  
This article is cited in 31 scientific papers (total in 31 papers)

Hölder estimates for quesilinear doubly degenerate parabolic equations

A. V. Ivanov
Full-text PDF (1388 kB) Citations (31)
Abstract: In this paper we establish local Hölder estimates of weak solutions of degenerate parabolic equation of the form
$$ \frac{\partial u}{\partial t}-\frac{\partial}{\partial x_i}\left\{a_0|u|^{\sigma(m-1)}|\nabla u|^{m-2}\frac{\partial u}{\partial x_i}\right\}=0,\quad \sigma\geqslant 0,\quad m\geqslant2. $$
English version:
Journal of Soviet Mathematics, 1991, Volume 56, Issue 2, Pages 2320–2347
DOI: https://doi.org/10.1007/BF01671935
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Ivanov, “Hölder estimates for quesilinear doubly degenerate parabolic equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 20, Zap. Nauchn. Sem. LOMI, 171, "Nauka", Leningrad. Otdel., Leningrad, 1989, 70–105; J. Soviet Math., 56:2 (1991), 2320–2347
Citation in format AMSBIB
\Bibitem{Iva89}
\by A.~V.~Ivanov
\paper H\"older estimates for quesilinear doubly degenerate parabolic equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~20
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 171
\pages 70--105
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4473}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1031986}
\zmath{https://zbmath.org/?q=an:0729.35018|0719.35008}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 56
\issue 2
\pages 2320--2347
\crossref{https://doi.org/10.1007/BF01671935}
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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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