| 二阶椭圆与抛物型复方程的一般初非正则斜微商问题解的唯一性与先验估计 |
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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般初非正则斜微商问题解的唯一性与先验估计[J].河北省科学院学报,1999,16(4). |
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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,石家庄,050018
2. 北京大学数学研究所,北京,100871 |
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| 摘 要： | 本文论述了多连通柱体区域上二阶椭圆与抛物型复方程的一般初非正则斜微商边值问题。我们先给出这个边值问题的提法，然后运用极值原理证明上述问题的解的唯一性，最后给出上述问题解的先验估计。
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| 关 键 词： | 椭圆抛物型方程 极值原理 先验估计 |
The uniqueness and a priori estimates of solutions of general initial irregular oblique derivative boundary value problem for elliptic-parabolic complex equations of second order |
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| YANG Guang-wu,XU Ke-ming,WEN Guo-chun.The uniqueness and a priori estimates of solutions of general initial irregular oblique derivative boundary value problem for elliptic-parabolic complex equations of second order[J].Journal of The Hebei Academy of Sciences,1999,16(4). |
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| Authors: | YANG Guang-wu XU Ke-ming WEN Guo-chun |
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| Abstract: | This paper deals with general initial irregular oblique derivative boundary value problem for elliptic parabolic complex equation of second order in a multiply connected cylindric region.We first give the formulation of this boundary value problem,and then prove the uniqueness of solutions for above problem by using the extremum principle.Finally we give a priori estimate of solutions for above problem. |
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| Keywords: | Elliptic parabolic equations Extremum principle Prior estimate |
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