Speaker: Dr. Nam Le from Indiana University Bloomington
Date and Time: Wednesday, March 24, 2021, 10am – 11am via Zoom. Please contact Qingning Zhou to obtain the Zoom link.
Title: Liouville type theorems for the Monge-Ampere equation
Abstract: Liouville type theorems in Partial Differential Equations are concerned with classification of global solutions. The Monge-Ampere equation consists of prescribing the determinant of the Hessian of a convex function. In this talk, we will review some Liouville type theorems for the Monge-Ampere equation in the whole space, on the half space, and we will discuss in depth the case in the first quadrant in the plane. Application will be given to global second order derivative estimates for the non-degenerate Monge-Ampere equation in convex polygonal domains in the plane. This talk is based on joint work with Ovidiu Savin. The talk will be accessible to general mathematical audience.