| Riemann边值问题关于边界曲线的稳定性 |
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| 引用本文： | 章红梅,王传荣. Riemann边值问题关于边界曲线的稳定性[J]. 福州大学学报(自然科学版), 2001, 29(1): 1-4 |
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| 作者姓名： | 章红梅 王传荣 |
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| 作者单位： | 福州大学数学系, |
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| 基金项目： | 福建省教委科学基金!资助项目 (JB980 0 ) |
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| 摘 要： | 讨论了当E为复平面上的有界连通区域且所有已知函数在E上满足H lder条件时 ,Rieman边值问题在边界曲线Γ E发生光滑扰动时的稳定性问题 ,给出了相应的误差估计 ,并建立了收敛性定理 ,且当Riemann边值问题的指标R <0 时提出了扰动拟可解的概念 .
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| 关 键 词： | Riemann边值问题 简单光滑扰动曲线 稳定性 |
| 文章编号： | 1000-2243(2001)01-0001-04 |
| 修稿时间： | 2000-05-10 |
On stability of Riemann boundary value problem with respect to path of boundary |
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| ZHANG Hong-mei,WANG Chuan-rong. On stability of Riemann boundary value problem with respect to path of boundary[J]. Journal of Fuzhou University(Natural Science Edition), 2001, 29(1): 1-4 |
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| Authors: | ZHANG Hong-mei WANG Chuan-rong |
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| Affiliation: | (Department of Mathematics,Fuzhou University,Fuzhou,Fujian 350002, China) |
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| Abstract: | All known functions being Hlder continuous in a connected regionEC, we discuss the stability of Riemann boundary value problem when the smooth perturbation of boundary curve occurs，and give the corresponding error estimates. Finally we establish a convergent theorem and put forward a conception of perturbation quasi-solvability when the index of Riemann boundary problem is less than zero. |
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| Keywords: | Riemann boundary value problem simple smooth perturbation curve stability |
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