报告名称：Eigenvalue problems arising from nonlocal diffusion models and some applications

报告人：李芳副研究员 （华东师范大学偏微分方程中心）

报告时间：2016年12月21日上午10:00-11:00

报告地点：知新楼B1032室

Abstract:

In this talk, first we discuss as much as possible about the spectra of three classes of linear diffusion operators involving nonlocal terms. In all but one cases, we characterize the minimum λpof the real part of the spectrum in two max-min fashions, and prove that in most cases λpis an eigenvalue with a corresponding positive eigenfunction, and is algebraically simple and isolated; we also prove that the maximum principle holds if and only if λp> 0 (in most cases) or ≥ 0 (in one case). We prove these results by an elementary method based on the strong maximum principle, rather than resorting to Krein-Rutman theory as did in the previous papers. In one case when it is impossible to characterize λpin the max-min fashion, we supply a complete description of the whole spectrum. This is the joint work with Jerome Coville and Xuefeng Wang.

Moreover, we will talk about some applications in ecological models.

欢迎各位老师同学参加！