Mathematics PDE Seminar - Farhan Abedin

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Date: March 5, 2020
Time: 2:30 p.m. - 3:30 p.m.
Location: Faculty/Administration # 1140 | Map
656 W. Kirby
Detroit, MI 48202
Category: Seminar

Speaker: Farhan Abedin, Michigan State University

Title: Inverse Iteration for the Monge-Ampere Eigenvalue Problem

Abstract: The Monge-Ampere eigenvalue problem was solved in 1985 by P.-L. Lions, who showed that there exist a unique eigenvalue and eigenfunction (up to multiplicative constants). In this talk, I will discuss an iterative method of computing the Monge-Ampere eigenvalue  and eigenfunction based on repeatedly inverting the Monge-Ampere operator. I will present recent joint work with Jun Kitagawa (MSU), in which we prove that the iteration converges uniformly to the unique solution of the Monge-Ampere eigenvalue problem.


Department of Mathematics