Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball

Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball

In the previous author’s works, a representation of the solution of the Dirichlet boundary value problem for the biharmonic equation in terms of Green’s function is found, and then it is shown that this representation for a ball can be written in the form of the well-known Almansi formula with expli...

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Bibliographic Details
Main Author: Valery Karachik
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
polyharmonic equation
Dirichlet problem
Neumann problem
Green’s function
Almansi representation
Online Access:https://www.mdpi.com/2227-7390/9/16/1907

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