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| Life Span of a Smooth Solution for the Surface Diffusion Flow |
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Citation： |
LIU Zuhan.Life Span of a Smooth Solution for the Surface Diffusion Flow[J].Chinese Annals of Mathematics B,2003,24(3):331~342 |
| Page view： 1400
Net amount： 815 |
Authors： |
LIU Zuhan; |
Foundation： |
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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| 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. |
Keywords： |
Surface diffusion flow, Mean curvature, Second fundamental form, Fourth
order equation |
Classification： |
35K55, 53C21, 53A07 |
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