A Dirichlet Problem for the Inhomogeneous Polyharmonic Equation in the Upper Half Plane

Author:

Begehr Heinrich1,Gaertner Evgenija1

Affiliation:

1. I. Math. Institut, FU Berlin, Arnimallee 3, 14195 Berlin, Germany. E-Mail: ,

Abstract

Abstract On the basis of a higher order integral representation formula related to the polyharmonic differential operator and obtained through a certain polyharmonic Green function, a Dirichlet problem is explicitly solved in the upper half plane.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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