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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 1, Pages 48–59 (Mi dvmg228)  
This article is cited in 1 scientific paper (total in 1 paper)

Projection method for the solution of a problem for a quasilinear parabolic equation in a noncylindrical domain with $W_2^1$ boundary

K. V. Lisenkov

Pacific National University, Khabarovsk
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Abstract: This article investigates the boundary value problem for the quasilinear parabolic equation in noncylindrical domain. The existence and uniqueness are proved. The approximate solution built according to projection method. We use methods of compactness for functions from Banach space scale.
Key words: noncylindrical domain, quasilinear parabolic equation, compactness theorem, existence theorem, projection method.
Received: 23.09.2011
Document Type: Article
UDC: 517.95 + 519.633
MSC: Primary 35K59; Secondary 65N30
Language: Russian
Citation: K. V. Lisenkov, “Projection method for the solution of a problem for a quasilinear parabolic equation in a noncylindrical domain with $W_2^1$ boundary”, Dal'nevost. Mat. Zh., 12:1 (2012), 48–59
Citation in format AMSBIB
\Bibitem{Lis12}
\by K.~V.~Lisenkov
\paper Projection method for the solution of a problem for a
quasilinear parabolic equation in a noncylindrical domain with $W_2^1$ boundary
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 1
\pages 48--59
\mathnet{http://mi.mathnet.ru/dvmg228}
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  • https://www.mathnet.ru/eng/dvmg/v12/i1/p48
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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