期刊文献+

一阶退化椭圆型复方程的Riemann-Hilbert边值问题(英文)

The Riemann-Hilbert Problem for Linear Degenerate Elliptic Complex Equations of First Order
下载PDF
导出
摘要 讨论了一阶退化椭圆型复方程的Riemann Hilbert边值问题。先给出这种边值问题的提法和解的表示式 ,然后使用复分析方法证明了上述边值问题解的存在性和唯一性。 The Riemann-Hilbert problem for first order linear elliptic complex equation with parabolic degeneracy is dealed with here. Firstly, the formulation and representation of solutions of the above boundary value problem are given, and then the existence and uniqueness of solutions for the above problem are proved, in which the complex analytic method is used.
作者 闻国椿
出处 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2005年第1期47-54,共8页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金项目 (10 4 7114 9)
关键词 RIEMANN-HILBERT边值问题 一阶退化椭圆型复方程 Riemann-Hilbert problem degenerate elliptic complex equations of first order
  • 相关文献

参考文献6

  • 1Keldych M V.On Certain Cases of Degeneration of Equations of Elliptic Type on the Boundary of a Domain.Dokl Akad Nauk SSSR(N.S.),1951,77:181-183. 被引量:1
  • 2Oleinik O A.On Equations of Elliptic Type Degenerating on the Boundary of a Region.Dokl.Akad.Nauk SSSR(N.S.)1952,87:885-888. 被引量:1
  • 3Dong G C.Boundary Value Problems for Degenerate Elliptic Partial Differential Equations.Sci Sinica,1963,4:105-126. 被引量:1
  • 4Tian M Y.The Mixed Boundary Value Problem for Nonlinear Degenerate Elliptic Equations of Second Order in the Plane.Acta Sci Natur Univ Peki,1982,5:1-13. 被引量:1
  • 5Vekua I N.Generalized Analytic Functions.Oxford:Pergamon,1962. 被引量:1
  • 6Wen G C,Begehr H.Boundary Value Problems for Elliptic Equations and Systems. Harlow:Longman Scientific and Technical Company,1990. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部