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Riquier–Neumann Problem for the Polyharmonic Equation in a Ball

Valery Karachik ()
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Valery Karachik: Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, 454080 Chelyabinsk, Russia

Mathematics, 2023, vol. 11, issue 4, 1-21

Abstract: The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green’s function, an integral representation of the solution to the Riquier–Neumann problem in the unit ball is found.

Keywords: Riquier–Neumann problem; polyharmonic equation; Green’s function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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