学术活动

A survey on elliptic, parabolic and nonlocal eigenvalue problems

作者:   来源:  时间:2015-10-18

题目:A survey on elliptic, parabolic and nonlocal eigenvalue problems

报告人: Prof. Xuefeng Wang (王学锋) 华东师范大学, Tulane University,USA

Abstract: The literature on eigenvalue problems is vast and so I am  forced to be focused  and biased in this survey talk.  I will emphasize results that help to understand the strength of diffusion,  the long term behavior of the corresponding evolution equation, and results that I perceive  as  directly  useful for researchers  who  do nonlinear analysis such as stability and bifurcation analysis.  Topics will include characterizations of eigenvalues, especially of the principal eigenvalue, of local and nonlocal operators, nodal property and multiplicity, effect of domain geometry on the  size of the first nontrivial eigenvalue and shape optimization, effect of parameters such as diffusion and advection coefficients, nonlinear Krein-Rutman theory and its consequences to nonlinear systems. Through out the talk, I will mention open problems, some of which are well-known and long-standing, others new.

时间:2015年10月18日(周日) 8:40-9:40

地点:首都师大北一区教学楼707教室

欢迎全体师生积极参加!