中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Professor XIAO LING（University of Connecticut）
题 目：Entire sigma-k curvature flow in Minkowski space
时 间：2022.11.03（星期四）09:00-10:00
地 点：Zoom:563 133 4105 Code:AMSS
摘 要：In this talk, we will discuss the sigma_k curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We show that if the initial hypersurface satisfies certain conditions, then the flow exists for all time. Moreover, we show that after rescaling, the flow converges to a self-expander. This is a joint work with Zhizhang Wang.
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报告人：Dr. Yang fengrui（Freiburg University）
题 目：Prescribed curvature measure problem in hyperbolic space
时 间：2022.11.03（星期四）16:00-17:00
地 点：Zoom:563 133 4105 Code:AMSS
摘 要：The problem of the prescribed curvature measure is one of the important problems in differential geometry and nonlinear partial differential equations. In this paper, we consider prescribed curvature measure problem in hyperbolic space.We obtain the existence of star-shaped k-convex bodies with prescribed (n-k)-th curvature measures (k<n) by establishing crucial C^2 regularity estimates for solutions to the corresponding fully nonlinear PDE in the hyperbolic space.
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