Friday, November 28, 2025 3:30 pm
-
4:30 pm
EST (GMT -05:00)
Siyuan Lu, McMaster University
Interior C^2 estimate for Hessian quotient equation
In this talk, we will first review the history of interior C^2 estimates for fully nonlinear equations. As a matter of fact, very few equations admit this property, not even the Monge-Ampère equation in dimension three or above. We will then present our recent work on interior C^2 estimate for Hessian quotient equation. We will discuss the main idea behind the proof. If time permits, we will also discuss the Pogorelov-type interior C^2 estimate for Hessian quotient equation and its applications.
MC 5417