Dirichlet type problems for Dunkl-Poisson equations

作者：Yuan, Hongfen^*

来源：Boundary Value Problems, 2016, 2016(1): 222.

DOI：10.1186/s13661-016-0730-4

• Dirichlet problem
• Dunkl-Poisson equation
• Dunkl-Laplace equation
• Clifford analysis

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.

• 出版日期2016-12-22
• 单位河北工程大学