REGULARITY AND CONVERGENCE OF CRYSTALLINE MOTION

Authors
ISHII K SONER HM
Citation
K. Ishii et Hm. Soner, REGULARITY AND CONVERGENCE OF CRYSTALLINE MOTION, SIAM journal on mathematical analysis (Print), 30(1), 1999, pp. 19-37
Citations number
34
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis (Print) → ACNP
ISSN journal
00361410
Volume
30
Issue
1
Year of publication
1999
Pages
19 - 37
Database
ISI
SICI code
0036-1410(1999)30:1<19:RACOCM>2.0.ZU;2-8
Abstract
We consider the motion of polygons by crystalline curvature. We show t hat ''smooth'' polygon evolves by crystalline curvature ''smoothly'' a nd that it shrinks to a point in finite time. We also establish the co nvergence of crystalline motion to the motion by mean curvature.