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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 2, Pages 273–305
DOI: https://doi.org/10.1070/IM1988v031n02ABEH001072 (Mi im1327) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems

N. V. Zhitarashu
English version PDF (1762 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1988v031n02ABEH001072
Abstract: General linear model parabolic boundary value problems are studied (in a revised formulation) in the Sobolev spaces $\mathscr H^s(\Omega)$ ($-\infty<s<\infty$) of generalized functions (distributions) –the $L_2$-theory. The well-posed solvability of these problems in suitable function spaces is proved.
Bibliography: 43 titles.
Received: 15.07.1985
Bibliographic databases:
UDC: 517.946
MSC: Primary 35K50; Secondary 35D05, 35D10
Language: English
Original paper language: Russian
Citation: N. V. Zhitarashu, “The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems”, Math. USSR-Izv., 31:2 (1988), 273–305
Citation in format AMSBIB
\Bibitem{Zhi87}
\by N.~V.~Zhitarashu
\paper The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 2
\pages 273--305
\mathnet{http://mi.mathnet.ru//eng/im1327}
\crossref{https://doi.org/10.1070/IM1988v031n02ABEH001072}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=925090}
\zmath{https://zbmath.org/?q=an:0686.35057|0658.35045}
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    • This publication is cited in the following 1 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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