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

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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.

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Authors and Affiliations

  1. Research Center for Physics and Mathematics of the Ministry for Education and Science of the Republic of Kazakhstan, Almaty, Kazakhstan

    T. Sh. Kal’menov & B. D. Koshanov

Authors
  1. T. Sh. Kal’menov
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  2. B. D. Koshanov
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Correspondence to B. D. Koshanov.

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Original Russian Text Copyright © 2008 Kal’menov T. Sh. and Koshanov B. D.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 3, pp. 534–539, May–June, 2008.

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Kal’menov, T.S., Koshanov, B.D. Representation for the Green’s function of the Dirichlet problem for polyharmonic equations in a ball. Sib Math J 49, 423–428 (2008). https://doi.org/10.1007/s11202-008-0042-8

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  • DOI: https://doi.org/10.1007/s11202-008-0042-8

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