RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION  OF BOUNDARY CURVE TO BE AN OPEN ARC

doi:10.1016/S0252-9602(09)60120-X

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1481-1488.doi: 10.1016/S0252-9602(09)60120-X

RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC

林娟, 王传荣

Department of Foundation, Fujian Commercial College, Fuzhou |350012, China Department of Mathematics, Fuzhou University, Fuzhou 350002, China

收稿日期:2006-11-14 修回日期:2008-11-15 出版日期:2009-09-20 发布日期:2009-09-20
基金资助:
This work was supported by Natural Science Foundation of China (10071016), the Natural Science Foundation of Fujian Province
(2008J0187) and the Science and Technology Foundation of Education Department of Fujian Province (JA08255), China

RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC

LIN Juan, WANG Chuan-Rong

Department of Foundation, Fujian Commercial College, Fuzhou |350012, China Department of Mathematics, Fuzhou University, Fuzhou 350002, China

Received:2006-11-14 Revised:2008-11-15 Online:2009-09-20 Published:2009-09-20
Supported by:
This work was supported by Natural Science Foundation of China (10071016), the Natural Science Foundation of Fujian Province
(2008J0187) and the Science and Technology Foundation of Education Department of Fujian Province (JA08255), China

摘要/Abstract

摘要：

By dint of the stability of Cauchy-type integral with kernel density of class H* for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation of boundary curve to be an open arc.

关键词: open arc, Riemann boundary value problem, smooth perturbation, stability

Abstract:

Key words: open arc, Riemann boundary value problem, smooth perturbation, stability

中图分类号:

30E20

林娟, 王传荣. RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC[J]. 数学物理学报(英文版), 2009, 29(5): 1481-1488.

LIN Juan, WANG Chuan-Rong. RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC[J]. Acta mathematica scientia,Series B, 2009, 29(5): 1481-1488.

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RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC

RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC

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