Worn stones with flat sides all time regularity of the interface

• 成果类型: Article
• 署名作者: Daskalopoulos, P; Lee, KA
• 署名单位: Columbia University; Seoul National University (SNU)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-003-0328-1
• 发表日期: 2004
• 页码: 445-493
• 关键词: gauss curvature flow; c-infinity-regularity; free-boundary

摘要

We study the all time regularity of the free-boundary problem associated to the deformation of a compact weakly convex surface Sigma in R-3, with a flat side, by its Gaussian Curvature. We show that under certain necessary regularity and non-degeneracy initial conditions the interface separating the flat from the strictly convex side, remains smooth on 0