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学术讲座【Heat Kernel Estimates and Riesz Transforms in Metric Measure Spaces】

时间:2016-04-22浏览:589设置

时间:2016年4月22日(周五) 10:30

地点:旗山校区数学研究中心学术报告厅

主讲:四川大学  黎怀谦副研究员 

主办:数学与计算机科学学院

专家简介:黎怀谦,男,四川大学副研究员,2011年获得法国勃艮第大学博士学位,主要研究兴趣为度量测度空间上的几何与分析。

报告摘要:The upper and lower bounds of the heat kernel, as well as bounds for the gradient, are derived in the  metric measure space (X,d,\mu)  having Riemannian curevature dimension condition RCD*(K,N) with $K\in R$ and $N\in[1,\infty)$. For applications,the large time behavior of the heat kernel, the stability of solutions to the heat equation are studied, and the $L^p$ boundedness of the Riesz transform, as well as its local case, are showed.

 

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