一类广义解析函数的Riemann边值逆问题  

A CLASS OF INVERSE RIEMANN BOUNDARY VALUE PROBLEMS FOR GENERALIZED HOLOMORPHIC FUNCTIONS

作　　者：温小琴[1] 李明忠[1] 

机构地区：[1]上海大学数学系,上海200436

出　　处：《数学杂志》2004年第4期457-464,共8页Journal of Mathematics

基　　金：国家自然科学基金资助项目 (196 70 5 6 ) ;上海市委自然科学基金资助项目 (99ZA14 0 30 )

摘　　要：本文给出了一类有关广义解析函数Riemann边值逆问题的数学提法 .在将此边值逆问题转化为边值问题的基础上 ,借助于广义解析函数边值问题的相关理论 。In this paper, the mathematical formulation of a class of inverse Riemann boundary value problems for generalized holomorphic functions is presented. On the basis of transferring these inverse boundary value problems into direct problems for generalized holomorphic functions, the solutions of the regular and irregular cases to these inverse boundary value problems are obtained respectively.

关 键 词：RIEMANN边值逆问题 分片正则解 指标 

分 类 号：O175.2[理学—数学]