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On eigenvalue problems arising from nonlocal diffusion models
澳门新葡8455最新网站:2016年11月09日 09:23 点击数:

报告人:李芳

报告地点:澳门新葡8455最新网站515室

报告澳门新葡8455最新网站:2016年11月24日星期四16:00-17:00

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报告摘要:

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 also prove that the maximum principle holds if and only if $\lambda_p>0$ (in most cases) or $\ge 0$ (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 $\lambda_p$ in the max-min fashion, we supply a complete description of the whole spectrum. This is the joint work with Jerome Coville and Xuefeng Wang.

 

主讲人概况:

现为华东师范大学偏微分方程中心副研究员, 美国Minnesota大学博士毕业, 导师为著名数学家倪维明教授;主持国家自然科学基金青年项目,中国博士后科学基金一等资助项目等;在Indiana Univ. Math. J.,J. Differential Equations, J. Math. Biol.等杂志发表论文多篇.

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