Clifford分析中无界域上双正则函数带共轭值的边值问题  

The boundary value problem for biregular functions with conjugate value on unbounded domains in Clifford analysis

作　　者：韩惠丽[1] 于洁[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《安徽大学学报（自然科学版）》2013年第3期9-15,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11261041;11261045);宁夏自然科学基金资助项目(NZ1101);宁夏大学自然科学基金资助项目(NDZR10-32)

摘　　要：Clifford分析是近年来多复变函数研究的热点问题之一.利用无界域上修正的Cauchy核定义及Plemelj公式,讨论了无界域上双正则函数带共轭值的边值问题,并利用积分方程方法和Schauder不动点定理证明了其解的存在性,继而给出了解的积分表达形式.Based on the introduction of the modified Cauchy kernel and Plemelj formula, the boundary value problem for biregular functions with conjugate value on unbounded domains was studied. Then, by the method of integral equation and the Schander fixed point theorem, the existence of the solution to the problem was proved and the integral representation was given.

关 键 词：CLIFFORD分析 双正则函数 边值问题 CAUCHY核 无界域 

分 类 号：O175[理学—数学]