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Trudy Moskovskogo Matematicheskogo Obshchestva, 2014, Volume 75, Issue 2, Pages 309–334 (Mi mmo568)  

This article is cited in 9 scientific papers (total in 9 papers)

Regularity of solutions of parabolic equations with a double nonlinearity and a weight

M. D. Surnachëv

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
Full-text PDF (349 kB) Citations (9)
References:
Abstract: We study local regularity of solutions of nonlinear parabolic equations with a double degeneracy and a weight. We impose the condition of $ p$-admissibility on the weight; in particular this allows weights in the Muckenhoupt classes $ A_p$. We prove that solutions are locally Hölderian without any restriction on the sign being constant. We prove a Harnack inequality for nonnegative solutions. We examine the stability of the constants as the parameters in the equation approach the linear case.
Received: 31.03.2014
English version:
Transactions of the Moscow Mathematical Society, 2014, Volume 75, Pages 259–280
DOI: https://doi.org/10.1090/S0077-1554-2014-00237-5
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 35K92, 35K65
Language: Russian
Citation: M. D. Surnachëv, “Regularity of solutions of parabolic equations with a double nonlinearity and a weight”, Tr. Mosk. Mat. Obs., 75, no. 2, MCCME, M., 2014, 309–334; Trans. Moscow Math. Soc., 75 (2014), 259–280
Citation in format AMSBIB
\Bibitem{Sur14}
\by M.~D.~Surnach\"ev
\paper Regularity of solutions of parabolic equations with a double nonlinearity and a weight
\serial Tr. Mosk. Mat. Obs.
\yr 2014
\vol 75
\issue 2
\pages 309--334
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo568}
\elib{https://elibrary.ru/item.asp?id=23780167}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2014
\vol 75
\pages 259--280
\crossref{https://doi.org/10.1090/S0077-1554-2014-00237-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960086972}
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  • https://www.mathnet.ru/eng/mmo/v75/i2/p309
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Trudy Moskovskogo Matematicheskogo Obshchestva
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    Full-text PDF :110
    References:56
     
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