Abstract:
In this talk, we will discuss the sub-elliptic operators and their potential theory. These include the fundamental solutions, the surface mean value theorem, Liouville type theorem, hypoellipticity and Bocher type theorem, etc. Two of most important sub-elliptic operators are the Kohn-Laplacian in the Heisenberg group and the Grushin operators which are degenerate elliptic operators in the Euclidean view.
Biography:
Xiaoping Yang received his Ph.D. in mathematics in 1992 from Hunan University, China. He worked as a Professor at School of Science, Nanjing University of Science and Technology, China from 1998 to 2015. From 2016, he is a Professor at Department of Mathematics, Nanjing University. His research interests include geometric measure theory, partial differential equations and their applications.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai