Geodesic
2-Dimensional flat curvature flow of crystals
David G. Caraballo1
1Georgetown University, Washington, USA
Interfaces and free boundaries, Tome 7 (2005) no. 3, pp. 241-254

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DOI

In the impressive and seminal paper [5], Fred Almgren, Jean Taylor, and Lihe Wang introduced flat curvature flow in Rn, a variational time-discretization scheme for (isotropic or anisotropic) mean curvature flow. Their main result asserts the Hölder continuity, in time, of these flows. This essential estimate requires a boundary regularity result, a uniform lower density ratio bound condition, which they proved for each n≥3. Similar estimates for Brownian flows, from important work by N. K Yip on stochastic mean curvature flow [30], also rely on this pivotal regularity result.
DOI : 10.4171/ifb/123
Classification : 35-XX, 65-XX, 76-XX, 92-XX

David G. Caraballo  1

1 Georgetown University, Washington, USA 
David G. Caraballo. 2-Dimensional flat curvature flow of crystals. Interfaces and free boundaries, Tome 7 (2005) no. 3, pp. 241-254. doi: 10.4171/ifb/123
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/123/}
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