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Matematicheskie Trudy, 2021, Volume 24, Number 2, Pages 46–64
DOI: https://doi.org/10.33048/mattrudy.2021.24.204 (Mi mt650) 		 
Solution to the Dirichlet problem for the polyharmonic equation in a ball

V. V. Karachik

South Ural State University, Chelyabinsk
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DOI: https://doi.org/10.33048/mattrudy.2021.24.204
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.
Key words: polyharmonic equation, Dirichlet problem, Green's function, Almansi representation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
Received: 05.05.2021
Revised: 04.08.2021
Accepted: 30.08.2021
Document Type: Article
UDC: 517.956.223+517.575
Language: Russian
Citation: V. V. Karachik, “Solution to the Dirichlet problem for the polyharmonic equation in a ball”, Mat. Tr., 24:2 (2021), 46–64
Citation in format AMSBIB
\Bibitem{Kar21}
\by V.~V.~Karachik
\paper Solution to the Dirichlet problem for the polyharmonic equation in a~ball
\jour Mat. Tr.
\yr 2021
\vol 24
\issue 2
\pages 46--64
\mathnet{http://mi.mathnet.ru/mt650}
\crossref{https://doi.org/10.33048/mattrudy.2021.24.204}
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