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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 6, Pages 24–35 (Mi ivm8709)  
This article is cited in 2 scientific papers (total in 2 papers)

Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation

V. V. Karachik

Chair of Differential Equations and Dynamical Systems, Southern Ural State University, Chelyabinsk, Russia
Full-text PDF (220 kB) Citations (2)
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Abstract: We obtain the Almansi type decomposition for the second-order partial differential operators with constant coefficients. This decomposition is used for constructing a polynomial solution to the Dirichlet problem.
Keywords: Almansi decomposition, polynomial solutions, Dirichlet problem.
Received: 14.06.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 6, Pages 20–29
DOI: https://doi.org/10.3103/S1066369X12060035
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. V. Karachik, “Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 6, 24–35; Russian Math. (Iz. VUZ), 56:6 (2012), 20–29
Citation in format AMSBIB
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\by V.~V.~Karachik
\paper Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a~second-order equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 6
\pages 24--35
\mathnet{http://mi.mathnet.ru/ivm8709}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076918}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 6
\pages 20--29
\crossref{https://doi.org/10.3103/S1066369X12060035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866292324}
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    • This publication is cited in the following 2 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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