| 二阶椭圆方程的解的凸性研究 |
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| 引用本文： | 李丽花. 二阶椭圆方程的解的凸性研究[J]. 上海电力学院学报, 2007, 23(2): 195-198 |
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| 作者姓名： | 李丽花 |
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| 作者单位： | 上海电力学院,数理系,上海,200090 |
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| 摘 要： | 二阶椭圆方程的解的几何性质是偏微分方程研究中的一个经典主题,其中凸性的研究是重要组成部分.讨论了处理二阶椭圆方程解的凸性的若干方法,并结合具体实例,对这些方法的应用进行了比较.
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| 关 键 词： | 二阶椭圆方程 凹极大值原理 凹包 粘性解 |
| 文章编号： | 1006-4729（2007）02-0195-04 |
| 收稿时间： | 2006-05-12 |
| 修稿时间： | 2006-05-12 |
The Convexity Research of the Solutions to the Second Order Elliptic Equations |
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| LI Li-hua. The Convexity Research of the Solutions to the Second Order Elliptic Equations[J]. Journal of Shanghai University of Electric Power, 2007, 23(2): 195-198 |
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| Authors: | LI Li-hua |
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| Affiliation: | Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China |
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| Abstract: | The geometrical property of the solutions of the second order elliptic is a classical topic in the research of the partial differential equation.Some methods of dealing with the convexity of the solutions of the second order elliptic equations are introduced,discussing their application by taking advantage of examples. |
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| Keywords: | second order elliptic equation concave maximum principle concave envelope viscosity solution |
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