摘要
本文先用Newton嵌入法求出一阶非线性一致椭圆型复方程在多连通区域上的Riemann-Hilbert等边值问题的近似解及其解的误差估计,然后再用来讨论多个未知复变函数的一阶非线性椭圆组的相应边值问题的近似解及其解的误差估计.这种一阶椭圆组的解包含广义超解析函数作为特殊情形.
At first, the approximate solutions about Riemann-Jiilbert boundary value problem of nonlinear unformly Elliptic complex equation of first order in multiply connected domain were found by means of Newton imbedding method and the estimation of their error were given. And then, the corresponding nonlinear Elliptic system of first order of several unkown complx functions were also discussed with same method. Its solution including generaliged hyperanalytic function can be considered as a special case of the feimer.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1992年第1期32-43,共12页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
牛顿嵌入法
复方程
R-H边值问题
Newton imbedded method
elliptic complex eguation
Riemann-Hilbert boundarg value
multiply conneced domain
