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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1304–1318 (Mi smj1371)  
This article is cited in 6 scientific papers (total in 6 papers)

A boundary value problem for an elliptic equation with asymmetric coefficients in a nonschlicht domain

V. V. Denisenko

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (200 kB) Citations (6)
Abstract: We propose some minimum principle for the quadratic energy functional of an elliptic boundary value problem describing a transport process with asymmetric tensor coefficients in a nonschlicht domain. We prove the existence and uniqueness of a weak solution in the energy space. The energy norm equals the entropy production rate.
Keywords: energy functional, elliptic equation, non-self-adjoint operator, nonschlicht domain.
Received: 14.05.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1055–1068
DOI: https://doi.org/10.1023/A:1021169318012
Bibliographic databases:
UDC: 517.946+519.34
Language: Russian
Citation: V. V. Denisenko, “A boundary value problem for an elliptic equation with asymmetric coefficients in a nonschlicht domain”, Sibirsk. Mat. Zh., 43:6 (2002), 1304–1318; Siberian Math. J., 43:6 (2002), 1055–1068
Citation in format AMSBIB
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\by V.~V.~Denisenko
\paper A~boundary value problem for an elliptic equation with asymmetric coefficients in a~nonschlicht domain
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 6
\pages 1304--1318
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946231}
\zmath{https://zbmath.org/?q=an:1075.35519}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 1055--1068
\crossref{https://doi.org/10.1023/A:1021169318012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300008}
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  • https://www.mathnet.ru/eng/smj/v43/i6/p1304
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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