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平面上一类一阶拟线性椭圆型方程组的非线性边值问题
引用本文:侯宗义. 平面上一类一阶拟线性椭圆型方程组的非线性边值问题[J]. 复旦学报(自然科学版), 1986, 0(4)
作者姓名:侯宗义
作者单位:复旦大学数学系
摘    要:本文基于连续性方法和利用已建立的一个积分算子,研究了Douglis意义超复函数论的非线性Riemann边值问题的可解性,解可用逐次逼近法构造出来。

关 键 词:一阶拟线性椭圆型方程组  非线性Riemann边值问题  连续性方法

NONLINEAR BOUNDARY VALUE PROBLEMS FOR A CLASS OF QUASIUNEAR FIRST ORDER ELUPTIC SYSTEM IN THE PLANE
Hou Zongyi. NONLINEAR BOUNDARY VALUE PROBLEMS FOR A CLASS OF QUASIUNEAR FIRST ORDER ELUPTIC SYSTEM IN THE PLANE[J]. Journal of Fudan University(Natural Science), 1986, 0(4)
Authors:Hou Zongyi
Affiliation:Mathematics Department
Abstract:This paper investigates solvability of nonlinear Riemann boundary value problems for hypercomplex function theory in Douglis' sense by using of the continuation method and an integral operator, which is given by the author previously.
Keywords:Quasilinear first order elliptic system  nonlinear Riemann boundary value problem  successive approximation and continuation method
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