| Generalized Solution of a Kind of Nonparametric Curvature Evolution with Boundary Condition |
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| 作者姓名： | Li CHEN Hui Zhao LIU |
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| 作者单位： | [1]Department of Mathematical Science, Tsinghua University, Beijing 100084, P. R. China [2]Department of Applied Mathematics, Hebei University of Technology, Tianjin 300130, P. R. China |
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| 基金项目： | Supported by the Doctorate Foundation of Hebei Education Commission |
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| 摘 要： |
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| 关 键 词： | 高斯曲率 初始边界值 广义解 凸单调函数 |
| 收稿时间： | 2003-07-01 |
| 修稿时间： | 2003-07-012004-04-02 |
Generalized Solution of a Kind of Nonparametric Curvature Evolution with Boundary Condition |
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| Li CHEN Hui Zhao LIU.Generalized Solution of a Kind of Nonparametric Curvature Evolution with Boundary Condition[J].Acta Mathematica Sinica,2006,22(2):455-468. |
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| Authors: | Li Chen Hui Zhao Liu |
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| Institution: | (1) Department of Mathematical Science, Tsinghua University, Beijing 100084, P. R. China;(2) Department of Applied Mathematics, Hebei University of Technology, Tianjin 300130, P. R. China |
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| Abstract: | The existence and uniqueness of the generalized solution for a kind of nonparametric curvature flow problem are obtained. This kind of curvature flow problem describes the evolution of graphs with speed depending on the reciprocal of the Gauss curvature. |
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| Keywords: | Gauss curvature First initial-boundary problem Generalized solution Convex-monotone function |
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