Partial regularity of weak solutions for the curve shortening flow

Authors
Deckelnick, K
Citation
K. Deckelnick, Partial regularity of weak solutions for the curve shortening flow, MANUSC MATH, 98(2), 1999, pp. 265-274
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
98
Issue
2
Year of publication
1999
Pages
265 - 274
Database
ISI
SICI code
0025-2611(199902)98:2<265:PROWSF>2.0.ZU;2-8
Abstract
We study the regularity of certain weak solutions for the curve shortening flow in arbitrary codimension. These solutions arise as limits of a regular ization process which is related to an approach suggested by Calabi. We pro ve that the set of times for which such a weak solution is not smooth has H ausdorff dimension at most 1/2.