THE VOLUME PRESERVING MEAN-CURVATURE FLOW NEAR SPHERES

Citation
J. Escher et G. Simonett, THE VOLUME PRESERVING MEAN-CURVATURE FLOW NEAR SPHERES, Proceedings of the American Mathematical Society, 126(9), 1998, pp. 2789-2796
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
ISSN journal
00029939
Volume
126
Issue
9
Year of publication
1998
Pages
2789 - 2796
Database
ISI
SICI code
0002-9939(1998)126:9<2789:TVPMFN>2.0.ZU;2-S
Abstract
By means of a center manifold analysis we investigate the averaged mea n curvature flow near spheres. In particular, we show that there exist global solutions to this flow starting from non-convex initial hypers urfaces.