Diff. Geom, Math. Phys., PDE Seminar: Nam Q. Le
Topic
The Monge-Ampere eigenvalue problem, Brunn-Minkowski inequality and global smoothness of the eigenfunctions
Speakers
Details
In this talk, I will first introduce the Monge-Ampere eigenvalue problem on general bounded convex domains and related analysis including the Brunn-Minkowski inequality for the eigenvalue. Then I will discuss the recent resolution, in joint work with Ovidiu Savin, of global smoothness of the eigenfunctions of the Monge-Ampere operator on smooth, bounded and uniformly convex domains in all dimensions. A key ingredient in our analysis is boundary Schauder estimates for certain degenerate Monge-Ampere equations.
Additional Information
Location: ESB 2012
Nam Q. Le, Indiana University
Nam Q. Le, Indiana University
This is a Past Event
Event Type
Scientific, Seminar
Date
February 7, 2018
Time
-
Location