Dirichlet type problems for Dunkl-Poisson equations

被引：0
|
作者：
Hongfen Yuan
机构：
[1] Hebei University of Engineering,College of Science
来源：
Boundary Value Problems | / 2016卷
关键词：
Dirichlet problem; Dunkl-Poisson equation; Dunkl-Laplace equation; Clifford analysis; 30G35; 35J05; 58C50;
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学科分类号：
摘要：
In this paper, using the intertwine relations of differential operators, we study one representation of real analytic functions by Dunkl-harmonic functions, which is a generalization of the well-known Almansi formula. As an application of the representation, we construct a solution of the Dunkl-Poisson equations in Clifford analysis. Then we investigate solutions of homogeneous and inhomogeneous Dirichlet type problems for Dunkl-Poisson’s equation, and inhomogeneous Dirichlet problems for Dunkl-Laplace’s equation.
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