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A (biased) survey on elliptic, parabolic and nonlocal eigenvalue problems
澳门新葡8455最新网站:2016年09月26日 14:17 点击数:

报告人: 王学锋

报告地点:澳门新葡8455最新网站615室

报告澳门新葡8455最新网站:2016年09月05日星期一13:30-14:30

邀请人:

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.

主讲人概况:

国际著名偏微分方程学者,现为南方科技大学教授, 千人计划专家,数学系副主任。

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