Boundary regularity in hypoelliptic kinetic equations
发布时间:2025年10月15日
浏览次数:60
发布者: Qiuye Huang
主讲人: Yuzhe Zhu (University of Chicago)
活动时间: 从 2025-10-27 16:00 到 17:00
场地: 北京国际数学研究中心,全斋全29教室
Abstract: The interplay between transport and degenerate diffusion in kinetic equations yields hypoelliptic smoothing effect. Yet singular boundary sets inherent to kinetic transport flows impede the gain of regularity up to the boundary from reaching a level comparable to that achieved in the interior. We will discuss this phenomenon for general Fokker-Planck-Landau-type models and quantify sharp regularity results.