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学术讲座【A note on generalized curvature-dimension inequality and its applications】

时间:2012-05-14浏览:801设置

时间:2012年5月17日(周四)下午16:00

地点:旗山校区理工楼403学术报告厅

主讲:中科院数学与系统科学研究院应用数学所 黎怀谦博士

主办:数计学院

专家简介:黎怀谦, 2011年博士毕业于北京师范大学和法国勃艮第大学,现为中科院应用数学研究所博士后,主要研究方向为随机分析。

报告摘要:
Following precisely [ F. Baudoin and N. Garofalo, arXiv:1101.3590 ], we give an introduction of the generalized curvature-dimension inequality on the smooth connected manifold M endowed with a smooth measure μ and a smooth locally subelliptic diffusion operator L satisfying L1 = 0, which is symmetric with respect to μ. As its applications, the scale-invariant parabolic Harnack inequality and off-diagonal Gaussian upper bounds associated with the operator L are given as a complement of the above work. We also give the Neumann heat kernel estimate of the Laplacian on the compact Riemannian manifold with convex boundary .

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