Analysis Seminar

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The Monge-Ampere Eigenvalue Problem and Global Smoothness of the Eigenfunctions

Speaker: Nam Le, Indiana University

Location: Warren Weaver Hall 1302

Date: Thursday, March 23, 2017, 11 a.m.

Synopsis:

In this talk, I will first introduce the Monge-Ampere eigenvalue problem on general bounded convex domains and related analysis. 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.