开口弧上双解析函数的Riemann边值问题关于边界曲线的稳定性  

The Stability of Riemann Boundary Value Problems for Binanlytic Functions about the Open Boundary Curve

作　　者：林娟[1] 谢碧华[2] 

机构地区：[1]福建商业高等专科学校基础部,福建福州350012 [2]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2008年第1期18-21,35,共5页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅科技基金资助项目(JA06074)

摘　　要：讨论了开口弧段上双解析函数的Riemann边值问题的解在边界曲线发生微小的光滑扰动时的稳定性.借助于Cauchy型积分,讨论了当问题的指标不小于零时,它的解的稳定性,当问题的指标小于零时,给出了拟解的概念并讨论了拟解的稳定性.Discuss the stability of solutions to Riemann boundary value problem for bianalytic function under perturbation of the open boundary curve. Using Cauchy type integral, when the index of this problem is non-negative and when z in common region of the new and the old curve ,the stability of thesolutions to this problem is proved. For negative index giving a conception of quasi-solution and discussing its stability correspondingly.

关 键 词：双解析函数 开口弧段 黎曼边值问题 光滑扰动 稳定性 

分 类 号：O175.8[理学—数学]