期刊论文详细信息
Boundary value problems | |
Dirichlet type problems for Dunkl-Poisson equations | |
Hongfen Yuan1  | |
[1] College of Science, Hebei University of Engineering, Handan, P.R. China | |
关键词: Dirichlet problem; Dunkl-Poisson equation; Dunkl-Laplace equation; Clifford analysis; 30G35; 35J05; 58C50; | |
DOI : 10.1186/s13661-016-0730-4 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904022420562ZK.pdf | 1290KB | download |