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THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR THE MOISIL-THEODORSCO SYSTEM

杨丕文   

  1. 四川师范大学数学系, 成都 610066
  • 收稿日期:2004-06-04 修回日期:2005-08-04 出版日期:2006-12-25 发布日期:2006-12-25
  • 通讯作者: 杨丕文
  • 基金资助:
    Supported partially by the Key Project Foundation of the Education Department of Sichuan Province

THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR THE MOISIL-THEODORSCO SYSTEM

Yang Piwen   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • Received:2004-06-04 Revised:2005-08-04 Online:2006-12-25 Published:2006-12-25
  • Contact: Yang Piwen

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摘要： This article studies the inhomogeneous Moisil-Theodorsco system in the space R3, gives the integral expression of its solution, proves the Holder continuity of the solution. Moreover the author studies the Riemann-Hilbert boundary value problem for the Moisil-Theodorsco system in a cylindrical domain of R3, and gives the solvability conditions and the integral expressions of solutions. The Holder continuity of the solutions is proved.

关键词: Moisil-Theodorsco System, Operator T, Holder continuous, Riemann-Hilbert boundary value problem

Abstract: This article studies the inhomogeneous Moisil-Theodorsco system in the space R3, gives the integral expression of its solution, proves the Holder continuity of the solution. Moreover the author studies the Riemann-Hilbert boundary value problem for the Moisil-Theodorsco system in a cylindrical domain of R3, and gives the solvability conditions and the integral expressions of solutions. The Holder continuity of the solutions is proved.

Key words: Moisil-Theodorsco System, Operator T, Holder continuous, Riemann-Hilbert boundary value problem

中图分类号: 

  • 30G20
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