数学物理学报(英文版)

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RIEMANN BOUNDARY VALUE PROBLEMS WITH GIVEN PRINCIPAL PART

李卫峰; 杜金元   

  1. Collage of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
  • 收稿日期:2006-08-23 修回日期:2007-09-06 出版日期:2009-02-20 发布日期:2009-02-20
  • 通讯作者: 李卫峰
  • 基金资助:
    Sponsored by the National NSFC under grant No.10471107 and the Research Foundation for Outstanding Young Teachers, China University of Geosciences (Wuhan)

RIEMANN BOUNDARY VALUE PROBLEMS WITH GIVEN PRINCIPAL PART

Li Weifeng; Du Jinyuan   

  1. Collage of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
  • Received:2006-08-23 Revised:2007-09-06 Online:2009-02-20 Published:2009-02-20
  • Contact: Li Weifeng

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摘要： In this article, the authors discuss the Riemann boundary value problems with given principal part. First, authors consider a special case and give a classification of the solution class Rn by the way. And then, they consider the general case. The solvable conditions for this problem and its solutions is obtained when it is solvable.

关键词: Riemann boundary value problems, principal part, Riemann-Hilbert analysis for orthogonal polynomials

Abstract: In this article, the authors discuss the Riemann boundary value problems with given principal part. First, authors consider a special case and give a classification of the solution class Rn by the way. And then, they consider the general case. The solvable conditions for this problem and its solutions is obtained when it is solvable.

Key words: Riemann boundary value problems, principal part, Riemann-Hilbert analysis for orthogonal polynomials

中图分类号: 

  • 45E05
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