Regularity of a class of fourth order equations and its applications to Hamiltonian Stationary Lagrangian Submanifolds
数学公众报告(120周年校庆系列第61场)
报告题目(Title):Regularity of a class of fourth order equations and its applications to Hamiltonian Stationary Lagrangian Submanifolds
报告人(Speaker):陈竞一 教授(加拿大 UBC)
地点(Place):后主楼 1124 ;Zoom ID:84397508722 Password: 221202
时间(Time):2022 年 12 月 02 日(周五) 15:00-16:00
邀请人(Inviter):保继光、熊金钢
报告摘要
We prove a C^1 regular Hamiltonian stationary Lagrangian submanifold in a symplectic manifold is smooth. We achieve this by developing an elliptic theory for the fourth order equation in a double divergence form. This is joint work with A. Bhattacharya and M. Warren.