Uniqueness of self-similar shrinkers with asymptotically cylindrical ends (Q294271)
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scientific article; zbMATH DE number 6591398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of self-similar shrinkers with asymptotically cylindrical ends |
scientific article; zbMATH DE number 6591398 |
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Uniqueness of self-similar shrinkers with asymptotically cylindrical ends (English)
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10 June 2016
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Using Carleman inequalities on the backward uniqueness of parabolic equations the author proves the uniqueness of smooth embedded self-similar shrinkers of the mean curvature flow which are asymptotic to a generalized cylinder up to infinite order. The author also constructs non-rotationally metric self-shrinking ends which are asymptotic to a generalized cylinder with rate as fast as any given polynomial.
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uniqueness
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self-similar shrinkers
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asymptotic cylindrical ends
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mean curvature flow
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existence
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non-rotationally symmetric self-shrinking ends
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0.97035015
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0.90588075
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0.88682324
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0.8731712
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0.87109363
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0.8593136
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0.85670334
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