SINGULARITY FUNCTIONS AT AXISYMMETRICAL EDGES AND THEIR REPRESENTATION BY FOURIER-SERIES

被引：22
|
作者：
HEINRICH, B
机构：
[1] Fachbereich Mathematik, Technische Universität Chemnitz‐Zwickau, Chemnitz
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1993年 / 16卷 / 12期
关键词：
D O I：
10.1002/mma.1670161202
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The regularity of solutions of the Dirichlet problem for the Poisson equation in three-dimensional axisymmetric domains with reentrant edges is studied by means of Fourier series. The decomposition of the 3D problem into variational equations in 2D, a priori estimates of their solutions, a theorem of Riesz-Fischer type and two singularity functions (of tensor and non-tensor product type) are given.
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页码：837 / 854
页数：18
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