学术报告
On eigenvalue problems arising from nonlocal diffusion models and some applications-李芳 副教授(中山大学)
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题目: On eigenvalue problems arising from nonlocal diffusion models and some applications
报告人: 李芳 副教授(中山大学)
摘要
In this talk, we aim at saying 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 $\lambda_p$ of the real part of the spectrum in two max-min fashions, and prove that in most cases $\lambda_p$ is an eigenvalue with a corresponding positive eigenfunction,and is algebraically simple and isolated. 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. Some applications will be discussed.
时 间:2023 年 11 月 30 日(周四)下午 3:00-4:00
地 点:校本部教二楼 927
联系人: 吴雅萍