Analysis and Applied Mathematics Seminar
Yuzhe Zhu
University of Chicago
Smoothness property of hypoelliptic kinetic equations near boundaries
Abstract: 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.
Monday September 30, 2024 at 4:00 PM in 636 SEO