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Convergence of surfaces of prescribed mean curvature

✍ Scribed by Frank Pacard


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
599 KB
Volume
13
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


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✍ P. Amster; M.C. Mariani πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 112 KB

We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W 2;p . We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W 2;p . Moreover, we obtain existence r

Rate of convergence of the mean curvatur
✍ Natasa Sesum πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 171 KB

## Abstract We study the flow __M~t~__ of a smooth, strictly convex hypersurface by its mean curvature in ℝ^__n__ + 1^. The surface remains smooth and convex, shrinking monotonically until it disappears at a critical time __T__ and point __x__^\*^ (which is due to Huisken). This is equivalent to sa