| 二阶椭圆与抛物型复方程的一类边值问题 |
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| 引用本文： | 杨广武,许克明,闻国椿.二阶椭圆与抛物型复方程的一类边值问题[J].河北科技大学学报,1999,20(4):30-33. |
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| 作者姓名： | 杨广武 许克明 闻国椿 |
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| 作者单位： | 1. 河北科技大学理学院,河北石家庄,050018
2. 北京大学数学系 |
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| 基金项目： | 河北省教委科研基金!（项目编号97102） |
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| 摘 要： | 讨论多连通柱体区域上二阶椭圆－抛物型方程的一般初非正则斜微商边值问题。首先用参数开拓法证明线性方程上述边值问题的可解性，然后将此结果推广到非线性方程的情形。全文都是使用复数形式来叙述问题和推理论证的。
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| 关 键 词： | 椭圆-抛物型方程 斜微商问题 参数开拓法 |
| 修稿时间： | 1999-09-21 |
A Kind of Boundary Value Problem for Ellitic-Parabolic Complex Equation of Second Order |
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| YANG Guangwu,XU Keming,WEN Guochun.A Kind of Boundary Value Problem for Ellitic-Parabolic Complex Equation of Second Order[J].Journal of Hebei University of Science and Technology,1999,20(4):30-33. |
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| Authors: | YANG Guangwu XU Keming WEN Guochun |
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| Abstract: | This paper deals with general initial irregular oblique derivative boundary value problem for elliptic parabolic complex equations of second order in a multiply connected cylindric region.Firstly,the solvability of above mentioned boundary value problem for linear equations is proved by using the method of parameter extension,and then this result is extended to nonlinear equations.The problem is described and discussed by using the complex form in the paper. |
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| Keywords: | elliptic parabolic equations oblique derivative problem method of parameter extension |
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