A Dirichlet problem for polyharmonic functions |
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| Authors: | Heinrich Begehr Jinyuan Du Yufeng Wang |
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| Institution: | (1) I. Mathematical Institute, Free University, 14159 Berlin, Germany;(2) Department of Mathematics, Wuhan University, 430072 Wuhan, People’s Republic of China |
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| Abstract: | In this article, the Dirichlet problem of polyharmonic functions is considered. As well the explicit expression of the unique
solution to the simple Dirichlet problem for polyharmonic functions is obtained by using the decomposition of polyharmonic
functions and turning the problem into an equivalent Riemann boundary value problem for polyanalytic functions, as the approach
to find the kernel functions of the solution for the general Dirichlet problem is given.
Project supported by NNSF of China. |
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| Keywords: | Polyharmonic function Polyanalytic function Analytic function Kernel function Dirichlet problem Riemann boundary value problem |
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