Acta mathematica scientia, Series B >
RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC
Received date: 2006-11-14
Revised date: 2008-11-15
Online 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
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.
Key words： open arc; Riemann boundary value problem; smooth perturbation; stability
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 . DOI: 10.1016/S0252-9602(09)60120-X
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