题目：p-Laplace operator on the graph

报告人：王林峰教授（南通大学理学院）

报告时间：2020年12月1日下午3：00-5：30 ，

地点 ：数学院648室

摘要：Let G(V,E) be a connected locally finite graph with some suitable curvature conditions. In this report we consider the p-Laplace operator on G, which is a natural generalization of the Laplace operator. We establish a general gradient estimate for positive solutions to the p-Laplace heat equation. As applications, we can derive the parabolic type Harnack inequalities. We also establish the lower bound estimate of the first nonzero eigenvalue of the p-Laplace operator on a finite graph.

报告人简介：王林峰，南通大学理学院教授，硕士生导师。主要从事几何分析、图论的学习和研究，迄今在 Commum Anal Geom，J Funct Anal，J Differ Equations，Math Z，Pacific J Math，Sci China Math等国内外SCI收录杂志上发表论文 30 余篇。