| Abstract: |
| In this talk, we shall discuss some qualitative properties of the principal eigenvalue for a linear time-periodic parabolic operator under zero Neumann boundary conditions. Various asymptotic behaviors of the principal eigenvalue and its monotonocity, as a function of the diffusion rate and frequency, will be discussed. This analysis will lead to the classification of the topological structures of the level sets for the principal eigenvalue, in the plane of frequency and diffusion rate. This will help us better understand the joint effects of various parameters on the principal eigenvalue. |
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