A regularity theorem for curvature flows (Q699251)
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scientific article; zbMATH DE number 1803984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularity theorem for curvature flows |
scientific article; zbMATH DE number 1803984 |
Statements
A regularity theorem for curvature flows (English)
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24 November 2002
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The author considers the evolution equation \[ V_t- F(II,v)= 0, \] \(V_t\) being the normal velocity, \(II\) denoting the second fundamental form of a surface \(S\) with normal \(v\). The function \(F\) is assumed to be uniformly elliptic along the solution surface, Lipschitz in \(v\) and linear in \(II\). The main result of the paper states that a solution surface is regular provided it is sufficiently flat and has density close to \(1\).
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mean curvature flow
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regularity
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parabolic equations
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evolution equation
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