PDE seminar: Almost everywhere regularity for weak mean curvature flow

Date

2012-5-21 16:30 - 2012-5-21 17:30

Place

Faculty of Science Building #3 Room 202

Speaker/Organizer

Yoshihiro Tonegawa (Hokkaido Univ.)

　

One parameter family of k-dimensional surfaces in
n-dimensional Euclidean space (or more generally Riemannian manifold) is
called mean curvature flow (MCF) if the velocity of motion is equal to
its mean curvature vector at each point and time. Since MCF is a
gradient flow for k-dimensional surface area, one can define a
generalized version of MCF utilizing its variational structure. I
explain my recent result which proves almost everywhere smoothness for
such generalized MCF.