Blow-up rates for the general curve shortening flow |
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| Authors: | R.L. Huang |
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| Affiliation: | School of Mathematical Science, Guangxi Normal University, Guilin, 541004, People?s Republic of China |
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| Abstract: | The blow-up rates of derivatives of the curvature function will be presented when the closed curves contract to a point in finite time under the general curve shortening flow. In particular, this generalizes a theorem of M.E. Gage and R.S. Hamilton about mean curvature flow in R2. |
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| Keywords: | The general curve shortening flow Young inequality Wirtinger inequality Sobolev inequality |
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