Affiliation:
1. Department of Mathematics , National Taiwan University , Taipei 106 , Taiwan
Abstract
Abstract
Under certain conditions such as the 2-convexity, a singularity
of the level set flow is of type I (in the sense that the rate of
curvature blow-up is constrained before and after the singular time)
if and only if the flow shrinks to either a round point or a
C
1
{C^{1}}
curve near that singular point. Analytically speaking, the arrival
time is
C
2
{C^{2}}
near a critical point if and only if it satisfies
a Łojasiewicz inequality near the point.
Subject
Applied Mathematics,General Mathematics