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.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
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
binanlytic function
an open arc
Riemann value boundary problem
smooth perturbation
stability
