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开云官方下载题目: p-curvature condition and geometric functional on the graph
报 告 人: 王林峰 教授
开云官方下载人所在单位: 南通大学
开云官方下载日期: 2022-11-03
开云官方下载时间: 9:00-10:00
开云官方下载地点: 腾讯会议 ID:112-254-796, 密码: 24680
   
开云官方下载摘要:

Let G(V,E) be a connected locally finite graph. In this report we define p-curvature conditions on G. We show that p-Bakry-Émery curvature condition holds on G for any p>=2, and G satisfies p-Bakry-Émery curvature condition if and only if G is a complete graph for the case that 1<p<2. We establish evolving inequalities for some geometric functionals along the p-Laplace parabolic equation on G under some suitable p-curvature condition, based on the gradient estimate.

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