北京大学学报（自然科学版）1999，Vol.35Issue(1)：47-55,9.
凯尔提什-谢多夫公式的推广与应用
Generalizations of Keldych-Sedov Formula and Their Applications
摘要
Abstract
It is known that the Keldych-Sedov formula gives the representation of solutions of the mixed boundary value problem for analytic functions in the upper half-plane[1] the authors. But for many problems in mechanics and physics ,one needs the more general formula of solutions of discontinuous Riemann-Hilbert boundary value problem for analytic functions in the upper half-plane and other special domains. In the present paper,the authors establish the representations of the general discontinuous boundary value problem for analytic functions in the upper half-plane and upper half-disk. Moreover the authors give their applications to some nonlinear elliptic complex equations. The results in present paper have the important applications to the equations of mixed type and nonlinear mechanics.关键词
间断黎曼-希尔伯特问题/解析函数/椭圆型复方程Key words
Discontinuous Riemann-Hilbert problem/analytic functions/elliptic complex equations分类
数理科学引用本文复制引用
闻国椿,田茂英..凯尔提什-谢多夫公式的推广与应用[J].北京大学学报（自然科学版）,1999,35(1):47-55,9.基金项目
国家自然科学基金资助项目(19671006) （19671006）
