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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 1, Pages 201–223
DOI: https://doi.org/10.33048/smzh.2020.61.114 (Mi smj5974) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On quasilinear anisotropic parabolic equations with time-dependent exponents

Al. S. Tersenova, Ar. S. Tersenovbc

a University of Crete
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
Full-text PDF (569 kB) Citations (5)
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DOI: https://doi.org/10.33048/smzh.2020.61.114
Abstract: The Cauchy–Dirichlet problem for the anisotropic parabolic equation with variable exponents in the presence of a nonlinear source and gradient term is considered. We prove the existence and uniqueness of a weak solution that is Lipschitz continuous in the space variables.
Keywords: anisotropic parabolic equation, weak solution with bounded spatial derivatives.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00649_a
The second author was partially supported by the Russian Foundation for Basic Research (Grant 18-01-00649).
Received: 27.12.2018
Revised: 30.04.2019
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 1, Pages 159–177
DOI: https://doi.org/10.1134/S0037446620010140
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: Al. S. Tersenov, Ar. S. Tersenov, “On quasilinear anisotropic parabolic equations with time-dependent exponents”, Sibirsk. Mat. Zh., 61:1 (2020), 201–223; Siberian Math. J., 61:1 (2020), 159–177
Citation in format AMSBIB
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\by Al.~S.~Tersenov, Ar.~S.~Tersenov
\paper On quasilinear anisotropic parabolic~ equations with time-dependent exponents
\jour Sibirsk. Mat. Zh.
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\vol 61
\issue 1
\pages 201--223
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\crossref{https://doi.org/10.33048/smzh.2020.61.114}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 1
\pages 159--177
\crossref{https://doi.org/10.1134/S0037446620010140}
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    • This publication is cited in the following 5 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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