数学物理学报(英文版)

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LINEAR SINGULAR INTEGRAL EQUATION ON DOMAINS COMPOSED BY BALLS

黄玉笙; 林良裕   

  1. 莆田学院数学系, 莆田 351100
  • 收稿日期:2003-04-21 修回日期:1900-01-01 出版日期:2006-01-20 发布日期:2006-01-20
  • 通讯作者: 黄玉笙
  • 基金资助:

    Project supported by the National Science Foundation of China (10271097)

LINEAR SINGULAR INTEGRAL EQUATION ON DOMAINS COMPOSED BY BALLS

Huang Yusheng; Lin Liangyu   

  1. Department of Mathematics, Putian College, Putian 351100, China
  • Received:2003-04-21 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
  • Contact: Huang Yusheng

摘要:

For domains composed by balls in Cn, this paper studies the boundary behaviour of Cauchy type integrals with discrete holomorphic kernels and the corresponding linear singular integral equation on each piece of smooth lower dimensional edges on the boundary of the domain.

关键词: Domains composed by balls, discrete kernel, linear singular integral equation

Abstract:

For domains composed by balls in Cn, this paper studies the boundary behaviour of Cauchy type integrals with discrete holomorphic kernels and the corresponding linear singular integral equation on each piece of smooth lower dimensional edges on the boundary of the domain.

Key words: Domains composed by balls, discrete kernel, linear singular integral equation

中图分类号: 

  • 32A25