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All courses for every first-year Science student will be delivered online this fall. A limited number of students in their second, third and fourth years will return to campus for part of the semester.

Geometry & Topology Seminar - Siyuan Lu - Monge-Ampere equation with periodic data

Description


HH 312


Speaker: Siyuan Lu (McMaster University)


Title: Monge-Ampere equation with periodic data

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.


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