报告时间：2015年6月23日 下午3点

报告地点：复杂系统研究所

报告人：王学锋（CPDE, ECNU and Tulane University）

报告题目：A (biased) survey on elliptic, parabolic and nonlocal eigenvalue problems

报告摘要：

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.

报告人简介：

王学锋，美国Tulane大学教授，华东师范大学偏微分方程中心兼职教授，数学杂志Communication in pure and applied analysis 的副主编。1984 北大数学系大学毕业；1984-1986北大研究生； 1990明尼苏达大学博士；1990-现在任职Tulane大学。发表论文30余篇。他的研究结果激发了他人大量的后续工作。据美国数学学会统计，他的文章被引用高达1000余次，其中两篇200次左右，三篇100次左右。近些年来曾在东北师大，首都师大和华东师大开办讲习班，取得实质性的教育和科研成果，和当地研究生，年轻教师写出若干篇文章。