Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1481-1488.doi: 10.1016/S0252-9602(09)60120-X

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

 LIN Juan, WANG Chuan-Rong   

  1. 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

Abstract:

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

CLC Number: 

  • 30E20
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