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几何seminar系列讲座之四十

发布者:系统管理员威尼斯官方网站:2011-12-08浏览次数:2

题  目: Harmonic maps

报告人: 刘磊(USTC))

时  间: 12月13日下午15:00-17:00

地  点: 管理科研楼 1308

摘  要: In this talk, I want to introduce some works of M. Struwe about the heat equation for harmonic maps from an m-dimensional Riemannian Manifold into another Riemannian manifold. In 2-dimension case, given an initial map with finite energy, there exists a unique global solution regular except for at most finitely many points, which correspond to the separation of harmonic spheres. In higher dimension, the author gives the existence of a weak solution by analyzing the energy inequality and monotonicity formula. The solution is regular outside the singular set which has locally finite m-dimensional Hausdorff measure with respect to the parabolic metric.
 

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国家数学与交叉科学中心合肥分中心


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