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Solution to the Dirichlet Problem for the Polyharmonic Equation in the Ball

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Abstract

We give a representation of the solution to the Dirichlet problem for the inhomogeneous polyharmonic equation in the unit ball in terms of solutions to the Dirichlet problem for the Laplace equation.

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Funding

The work was supported by the Government of the Russian Federation (Order no. 211 of 16.03.2013, Agreement 02.A03.21.0011).

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, 454080, Russia

    V. V. Karachik

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  1. V. V. Karachik
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Correspondence to V. V. Karachik.

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Karachik, V.V. Solution to the Dirichlet Problem for the Polyharmonic Equation in the Ball. Sib. Adv. Math. 32, 197–210 (2022). https://doi.org/10.1134/S1055134422030038

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  • DOI: https://doi.org/10.1134/S1055134422030038

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