期刊文献+

一阶退化椭圆型复方程在多连通区域上的Riemann-Hilbert边值问题(英文)

The Riemann-Hilbert Problem for Degenerate Elliptic Complex Equations of First Order in Multiply Connected Domains
下载PDF
导出
摘要 讨论一阶退化椭圆型复方程在多连通区域上的Riemann Hilbert边值问题.文中先给出这种边值问题的表示式,然后证明上述边值问题解的存在性和唯一性. This article deals with the Riemann-Hilbert problem for degenerate elliptic complex equations of first order in multiply connected domains. Firstly the representation of solutions of the boundary value problem for the equations is given, and then the uniqueness and existence of solutions for the problem are proved.
作者 闻国椿
出处 《烟台大学学报(自然科学与工程版)》 CAS 2005年第3期164-170,211,共8页 Journal of Yantai University(Natural Science and Engineering Edition)
基金 国家自然科学基金资助项目(10471149)
关键词 Riermann-Hilbert边值问题 退化椭圆型复方程 多连通区域 the Riemann-Hilbert problem degenerate elliptic complex equations multiply connected domains
  • 相关文献

参考文献7

  • 1Keldych M V. On certain cases of degeneration of equations of elliptic type on the boundary of a domain[J]. Dokl Akad Nauk SSSR(N S)(Russian), 1951,77:181~183. 被引量:1
  • 2Oleinik O A. On equations of elliptic type degenerating on the boundary of a region[J].Dokl Akad Nauk SSSR (N S), 1952,87: 885~888. 被引量:1
  • 3Dong G C. Boundary value problems for digenerate elliptic partial differential equations[J]. 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[J]. Acta Sci Natur Univ Peki(Chinese), 1982,5: 1~13. 被引量:1
  • 5Vekua I N. Generalized Analytic Functions[M].Oxford: Pergamon, 1962. 被引量:1
  • 6Wen G C, Begehr H. Boundary Value Problems for elliptic Equations and Systems[M]. Harlow: Longman Scientific and Technical Company, 1990. 被引量:1
  • 7Wen G C. The Riemann-Hilbert problem for linear degenerate elliptic complex equations of first order[J]. Acta Sci Natur Univ Peki, 2005 ,41:47~54. 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