Weak Solution for A-Dirac Equations in Clifford Analysis

被引：3
|
作者：
Lian, Pan [1 ]
Lu, Yueming [1 ]
Bao, Gejun [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2015年 / 25卷 / 01期
关键词：
Clifford Analysis; A-Dirac equations; Poincare inequality;
D O I：
10.1007/s00006-014-0469-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the weak solutions to A-Dirac equations DA(x, Du) = 0 with the Dirichlet boundary data. We get the existence and uniqueness of weak solution in the space W (D,p) (Omega, Cl-n). Also, we obtain the density theorem in W-D,W-p (Omega, Cl-n ) and Poincare type inequality in W-0(D,p) (Omega, Cl-n).
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页码：159 / 168
页数：10
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