Geometric Evolution Equations and Poincare
Inequalities
Ben Andrews
Stanford
Sunday, April 30
11:00AM
I will discuss some Poincare inequalities that arise naturally in
situations where a geometric object undergoes deformations--for example,
deformations of a hypersurface in Euclidean space, or a metric on a
Riemannian manifold. I will show how these inequalities can be applied to
parabolic evolution equations to prove so called "entropy" estimates, which
lead in some cases to a detailed understanding of the singularities and long
term behaviour of the flows.
Back to Past Meetings of the PNGS.
Suggestions or corrections to
Jack Lee <lee@math.washington.edu>.