Interior C^2 estimate for Hessian quotient equation
数学专题报告
报告题目(Title)：Interior C^2 estimate for Hessian quotient equation
报告人(Speaker)：陆思远 (McMaster University)
地点(Place)：后主楼1225
时间(Time)：2024 年 5月 14日 13：00—14：00
邀请人(Inviter)：熊金钢
报告摘要
In this talk, I will first review the history of interior C^2 estimate for fully nonlinear equations. As a matter of fact, only very few equations were shown to have such properties. Even the Monge-Ampere equations for dimension three and higher do not have interior C^2 estimate due to the famous example by Pogorelov. In the second part, I will discuss my recent work on interior C^2 estimate for Hessian quotient equations. Such equations have deep connections with Monge-Ampere equations, Hessian equations as well as special Lagrangian equations. I will then discuss the main ideas behind the proof. The new method we adopted to prove interior C^2 estimate has independent interest and can be used in other settings.
