数学物理学报(英文版)

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EXTENSION OF SOLUTIONS TO RIEMANN BOUNDARY VALUE PROBLEMS AND ITS APPLICATION

路见可   

  1. 武汉大学数学与统计学院, 武汉 430072
  • 收稿日期:2006-04-25 修回日期:2006-09-15 出版日期:2007-10-20 发布日期:2007-10-20
  • 通讯作者: 路见可

EXTENSION OF SOLUTIONS TO RIEMANN BOUNDARY VALUE PROBLEMS AND ITS APPLICATION

Lu Jianke   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2006-04-25 Revised:2006-09-15 Online:2007-10-20 Published:2007-10-20
  • Contact: Lu Jianke

摘要:

In this paper, solutions of Riemann boundary value problems with nodes
are extended to the case where they may have singularties of high order at the nodes. Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes. As an application, certain singular integral equation is discussed.

关键词: Riemann boundary value problem, class KN, index and canonical
function in class KN,
almost bounded, almost of order k, characteristic singular integral equation

Abstract:

In this paper, solutions of Riemann boundary value problems with nodes
are extended to the case where they may have singularties of high order at the nodes. Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes. As an application, certain singular integral equation is discussed.

Key words: Riemann boundary value problem, class KN, index and canonical
function in class KN,
almost bounded, almost of order k, characteristic singular integral equation

中图分类号: 

  • 30E25