走向现代数学学术报告 - 王林峰教授（No. 707）

题目：Gradient estimate and geometric functional for the p-Laplace operator on the graph

报告人：王林峰 教授（南通大学）

时间：2024年5月18日（周六） 10:00

地点：东海岸校区-D实209

摘要：Let G(V,E) be a connected 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. We establish Li-Yau gradient estimate for the p-Laplace parabolic equation under the p-curvature condition, and then derive evolving inequalities for some geometric functionals along the p-Laplace parabolic equation, based on the gradient estimate.

报告人简介：南通大学数学与统计学院，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 J. Funct. Anal.、J. Differ. Equations、Comm. Anal. Geom.、Asian J. Math.、J. Geom. Anal.、Math. Z.、Pacific J. Math.、Sci. China Math.等杂志上发表论文30余篇。