Title: Regularity of Elliptic and Parabolic Equations with Matrix Weights

Abstract:
This talk will present a broad class of degenerate elliptic and parabolic partial differential equations involving matrix weights. I will survey recent developments and optimal regularity results, with particular emphasis on matrix weights with small log-BMO norms within the framework of weighted Sobolev spaces.

Short Bio: Professor Sun-Sig Byun is a professor at National Seoul University and the winner of Academic Award of the Year 2025 from the Korean Mathematical Society.

He got his Ph.D in 2003 from Iowa.

He is a leading researcher in PDEs and has published 177 research articles.

In conjunction with this colloquium, Professor Byun is giving a special lunch lecture: Introduction to Regularity of Elliptic and Parabolic Equations