Stability of mean convex cones under mean curvature flow

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We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature: If another solution is initially close to the cone at infinity, then the difference to the homothetically expanding solution becomes small for large times. The proof involves the construction of appropriate barriers.
13 pages, 1 figure

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Differential Geometry, Analysis of PDEs, 53C44, 35B35

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http://salesiana.dossiersoluciones.com/handle/123456789/173035

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.0259
 http://arxiv.org/abs/0811.0259

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arXiv