Monge-Ampere equation with bounded periodic data
Speaker:
Siyuan Lu (McMaster)
Date and Time:
Friday, November 1, 2019 - 2:00pm to 4:30pm
Location:
Fields Institute, Stewart Library
Abstract:
We consider the Monge-Ampere equation det(D^2u) = f in R^n, where f is a positive bounded periodic function. We prove that u must be the sum of a quadratic polynomial and a periodic function. For f =1, this is the classic result by Jorgens, Calabi and Pogorelov. For f \in C^\alpha, this was proved by Caffarelli and Li. This is a joint work with Y.Y. Li.