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

The nonexistence on the limit of elliptic operators with large drift

Maolin Zhou
Nankai University
Peoples Rep of China
Co-Author(s):    
Abstract:
The asymptotic behavior of the principal eigenvalue of elliptic operators has been widely investigated for last decades. All previous studies are focusing on how to give an better estimate on the limit for different kinds of operators. In this talk, we will show the first counterexample such that the limit does not exist for some operators with degeneracy.