Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 7, Pages 50–53 (Mi ivm8720)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

A priori estimates of solutions of boundary value problems in a band for a class of degenerate elliptic equation of higher order

A. D. Baeva, S. S. Buneevb

a Chair of Mathematical Analysis, Voronezh State University, Voronezh, Russia
b Chair of Computational Mathematics and Information Science, Elets State University, Elets, Russia
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Abstract: In this paper we consider two boundary value problems in a band for degenerate elliptic equations of higher order. These equations degenerate on one boundary of a band into the third-order equation in one variable. Problems are investigated in weight spaces, similar to weight Sobolev spaces, which norms are built using a special integral transform. We obtain a priori estimates in weight spaces of solutions of boundary value problems in a band for higher order elliptic equations degenerating at one boundary of a band into the third-order equation in one variable.
Keywords: a priori estimate, degenerate elliptic equation, Sobolev weight spaces.
Presented by the member of Editorial Board: V. G. Zvyagin
Received: 18.01.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 7, Pages 44–46
DOI: https://doi.org/10.3103/S1066369X12070067
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. D. Baev, S. S. Buneev, “A priori estimates of solutions of boundary value problems in a band for a class of degenerate elliptic equation of higher order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7, 50–53; Russian Math. (Iz. VUZ), 56:7 (2012), 44–46
Citation in format AMSBIB
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\by A.~D.~Baev, S.~S.~Buneev
\paper A priori estimates of solutions of boundary value problems in a~band for a~class of degenerate elliptic equation of higher order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 7
\pages 50--53
\mathnet{http://mi.mathnet.ru/ivm8720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3077462}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 7
\pages 44--46
\crossref{https://doi.org/10.3103/S1066369X12070067}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866265947}
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  • https://www.mathnet.ru/eng/ivm/y2012/i7/p50
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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