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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 62–67 (Mi ivm7304)  
This article is cited in 7 scientific papers (total in 7 papers)

A uniqueness theorem for solution of one Dirichlet problem

E. A. Utkina

Chair of Information Technologies in Education, Tatar State Humanitarian Pedagogical University, Kazan, Russia
Full-text PDF (172 kB) Citations (7)
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Abstract: We consider the Dirichlet problem in a four-dimensional domain formed by characteristic surfaces of an equation of the 8th order with the double major partial derivative. We state sufficient conditions for the unique solvability of this problem in terms of control coefficients, basing on the method of a priori estimates.
Keywords: Dirichlet problem, method of a priori estimates.
Received: 16.12.2009
Revised: 02.04.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 51–55
DOI: https://doi.org/10.3103/S1066369X11050082
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: E. A. Utkina, “A uniqueness theorem for solution of one Dirichlet problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 62–67; Russian Math. (Iz. VUZ), 55:5 (2011), 51–55
Citation in format AMSBIB
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\by E.~A.~Utkina
\paper A uniqueness theorem for solution of one Dirichlet problem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 62--67
\mathnet{http://mi.mathnet.ru/ivm7304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920090}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 51--55
\crossref{https://doi.org/10.3103/S1066369X11050082}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051621164}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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