Lecture on "On Asymptotic Behaviors of Principal Eigenvalues for Second Order Elliptic Operators"

May 7, 2024

Speaker: Shuang Liu, associate researcher, Beijing Institute of Technology

Date: May 7, 2024

Time: 10:00-11:00

Location: B1032, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

The study on the qualitative properties of principal eigenvalue for second order elliptic operators has a long history. In recent years, there are some interest in investigating the monotonicity and asymptotic behaviors of such principal eigenvalue with small diffusion or large advection rates. In this talk we will discuss some recent works along this line, and try to find some global information on the principal eigenvalue, i.e. the classification of topological structures of the level sets as a function of multiple parameters. This enables us to better understand qualitative properties of the principal eigenvalues.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/190644.htm