First boundary value problem for affine maximal surface equation

发布时间：2026-07-13 作者：浏览次数：

Speaker:	汪徐家	DateTime:	2026年7月17日（周五）下午16：00-17：30
Brief Introduction to Speaker: 汪徐家，西湖大学		Place:	国交二号楼315会议室
Abstract:In this talk, we discuss the interior regularity of solutions to the first boundary value problem for the affine maximal surface equation. This equation arises as the Euler–Lagrange equation of the affine volume functional. It is a fourth-order PDE, can be formulated as a system of two second-order PDEs, one is the linearized Monge–Ampere equation and the other one is the standard Monge–Ampere equation. The study of the affine maximal surface equation is closely connected to the theory of the Monge–Amp`ere equation.