Smoothness property of hypoelliptic kinetic equations near boundaries
数学专题报告
报告题目(Title)：Smoothness property of hypoelliptic kinetic equations near boundaries
报告人(Speaker)：朱聿哲 (University of Chicago)
地点(Place)：2024 年 5月 31日 10：00—11：00
时间(Time)：后主楼1225
邀请人(Inviter)：熊金钢
报告摘要
The boundary regularization effect for hypoelliptic kinetic equations is limited. The solution with the simplest zero inflow boundary conditions exhibits at most Hölder continuity near the singular set of the boundary. We will discuss recent results on hypoelliptic regularity and explain the smoothness properties of solutions in the presence of boundary conditions in certain cases.
