| 一阶非线性椭圆组的Newton嵌入法 |
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| 引用本文： | 闻国椿,唐令教.一阶非线性椭圆组的Newton嵌入法[J].西南师范大学学报(自然科学版),1992,17(1):32-43. |
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| 作者姓名： | 闻国椿 唐令教 |
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| 作者单位： | 北京大学数学系 北京100871
(闻国椿)，西南师范大学数学系 重庆630715(唐令教) |
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| 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.
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| 关 键 词： | 牛顿嵌入法 复方程 R－H边值问题 |
NOWTON IMBEDDING METHOD FOR NO NLINEAR ELLIPTIC SYSTEM OF FIRST ORDER |
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| Wen Guocbun.NOWTON IMBEDDING METHOD FOR NO NLINEAR ELLIPTIC SYSTEM OF FIRST ORDER[J].Journal of Southwest China Normal University(Natural Science),1992,17(1):32-43. |
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| Authors: | Wen Guocbun |
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| Abstract: | 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. |
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| Keywords: | Newton imbedded method elliptic complex eguation Riemann-Hilbert boundarg value multiply conneced domain |
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