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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 527–546 (Mi jsfu266)  
This article is cited in 9 scientific papers (total in 9 papers)

Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a ball

Valery V. Karachik

South Ural State University, Chelyabinsk, Russia
Full-text PDF (248 kB) Citations (9)
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Abstract: Polynomial solution to Dirihlet boundary value problem for the nonhomogeneous $3$-harmonic equation in a ball with polynomial right-hand side and polynomial boundary data is found.
Keywords: $3$-harmonic equation, Almansi decomposition, harmonic polynomials, Dirihlet boundary value problem, polynomial solutions.
Received: 21.03.2012
Received in revised form: 01.04.2012
Accepted: 21.06.2012
Document Type: Article
UDC: 513.88
Language: Russian
Citation: Valery V. Karachik, “Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a ball”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 527–546
Citation in format AMSBIB
\Bibitem{Kar12}
\by Valery~V.~Karachik
\paper Polynomial solutions to Dirihlet boundary value problem for the $3$-harmonic equation in a~ball
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 527--546
\mathnet{http://mi.mathnet.ru/jsfu266}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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