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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 2, Pages 431–463
DOI: https://doi.org/10.1070/IM1970v004n02ABEH000914 (Mi im2424) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Variational methods in nonstationary problems (parabolic case)

P. P. Mosolov
English version PDF (1294 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1970v004n02ABEH000914
Abstract: In this paper we present a method for constructing a generalized solution of boundary problems for nonlinear parabolic equations and systems. We assume that the stationary (elliptic) part of these equations is generated by a convex functional. A feature of the scheme we propose is that the construction of the generalized solution can be carried out by using the functional itself without considering its variation.
Received: 13.01.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 2, Pages 425–457
Bibliographic databases:
UDC: 513.88
MSC: 35K20, 35K60, 35K85, 35A05
Language: English
Original paper language: Russian
Citation: P. P. Mosolov, “Variational methods in nonstationary problems (parabolic case)”, Izv. Akad. Nauk SSSR Ser. Mat., 34:2 (1970), 425–457; Math. USSR-Izv., 4:2 (1970), 431–463
Citation in format AMSBIB
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\by P.~P.~Mosolov
\paper Variational methods in nonstationary problems (parabolic case)
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 2
\pages 425--457
\mathnet{http://mi.mathnet.ru/im2424}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=270245}
\zmath{https://zbmath.org/?q=an:0223.35050}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 431--463
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000914}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:137
    English version PDF:16
    References:79
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