| LIFE SPAN OF A SMOOTH SOLUTION FOR THE SURFACE DIFFUSION FLOW |
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| 作者姓名： | LIU Zuhan |
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| 作者单位： | LIU ZUHAN Department of Mathematics，Yangzhou University，Yangzhou 225002，Jiangsu，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.10071067)
and the Jiangsu Provincial Natural Science Foundation of China. |
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| 摘 要： | Consider the motion of immersed hypersurfaces driven by surface diffusion flow and give an lower bound on the life span of a smooth immersed solution, which depends only on how much the curvature of the initial surface is concentrated in space.
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| 关 键 词： | 曲面扩散流 平均曲率 光滑解 发展方程 第二基本型 光滑浸入 能量不等式 寿命生成 |
| 收稿时间： | 3/2/2001 12:00:00 AM |
Life Span of a Smooth Solution for the Surface Diffusion Flow |
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| LIU Zuhan.LIFE SPAN OF A SMOOTH SOLUTION FOR THE SURFACE DIFFUSION FLOW[J].Chinese Annals of Mathematics,Series B,2003,24(3):331-342. |
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| Authors: | LIU Zuhan |
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| Institution: | Department of Mathematics, Yangzhou University, Yangzhou 225002, Jiangsu, China |
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| Abstract: | Consider the motion of immersed hypersurfaces driven by surface diffusion flow and give an lower bound on the life span of a smooth immersed solution, which depends only on how much the curvature of the initial surface is concentrated in space. |
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| Keywords: | Surface diffusion flow Mean curvature Second fundamental form Fourth order equation |
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