EVOLVING CONVEX CURVES

Authors
ANDREWS B
Citation
B. Andrews, EVOLVING CONVEX CURVES, Calculus of variations and partial differential equations, 7(4), 1998, pp. 315-371
Citations number
35
Categorie Soggetti
Mathematics,Mathematics
Journal title
Calculus of variations and partial differential equations → ACNP
ISSN journal
09442669
Volume
7
Issue
4
Year of publication
1998
Pages
315 - 371
Database
ISI
SICI code
0944-2669(1998)7:4<315:>2.0.ZU;2-V
Abstract
We consider the behaviour of convex curves undergoing curvature-driven motion. In particular we describe the long-term. behaviour of solutio ns and properties of limiting shapes, and prove existence of unique so lutions from singular or non-strictly convex initial curves, with shar p regularity estimates.