Special Session 11: Eigenvalue problems in reaction-diffusion equations and applications

Principal eigenvalues for elliptic operators with large drift

Yuan Lou
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    Shuang Liu
Abstract:
The study on the qualitative properties of principal eigenvalues for second order elliptic operators with drift has a long history. In recent years there are some growing interest in investigating the asymptotic behaviors of such principal eigenvalues with large drift rates. In this talk we will give a brief review and discuss some recent works. This talk is mainly based on joint work with Shuang Liu (Beijing Institute of Technology) .