数学系-偏微分方程中心联合讨论班
题 目: On “Regularity of the nodal set of segregated critical configurations under a weak reflection law”
报告人: 刘 单 博士（华师大偏微分方程中心博士后）
时 间: 2011年12月20日（周二）下午13: 00-15:00
地 点: 闵行校区行政楼12楼偏微分方程中心1202报告厅
摘 要：In this talk, I would like to introduce H. Tavares and S. Terracini’s results on regularity of the nodal set, which is published in “Calculus of Variations of PDEs” in 2010. The authors deal with a class of Lipschitz vector functions whose components are nonnegative, disjointly supported and verify an elliptic equation on each support. Under a weak formulation of a reflection law, they prove that the nodal set is a collection of C^{1,\alpha} hyper-surfaces up to a residual set with small Hausdorff dimension. Moreover, I will talk about some applications in this paper, such as to the asymptotic limits of reaction-diffusion systems with strong competition interactions.