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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 534–539 (Mi smj1859)  
This article is cited in 36 scientific papers (total in 36 papers)

Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball

T. Sh. Kal'menov, B. D. Koshanov

Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (263 kB) Citations (36)
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Abstract: We explicitly construct the Green's function for the Dirichlet problem for polyharmonic equations in a ball in a space of arbitrary dimension. The formulas for the Green's function are of interest in their own right. In particular, the explicit representations for a solution to the Dirichlet problem for the biharmonic equation are important in elasticity.
Keywords: polyharmonic equation, Dirichlet problem, Green's function.
Received: 16.01.2007
Revised: 16.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 423–428
DOI: https://doi.org/10.1007/s11202-008-0042-8
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: T. Sh. Kal'menov, B. D. Koshanov, “Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball”, Sibirsk. Mat. Zh., 49:3 (2008), 534–539; Siberian Math. J., 49:3 (2008), 423–428
Citation in format AMSBIB
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\pages 534--539
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\pages 423--428
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    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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