Speaker：Bin Shen (Southeast University）

Time：2025-12-8 10:30

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

In this talk, we will discuss the gradient estimates for positive solutions of elliptic or parabolic equations on Finsler metric measure spaces, including the results on Riemannian manifolds and graphs. We will compare the curvature conditions, the conclusions, and their applications for the two commonly used methods of gradient estimates, based on the manifold topology, equation types, and the form of nonlinear operators. The equations involved include the heat equation, linear Schrödinger equation, Lichnerowicz equation, p-, (p,q)-, and polynomial-type Laplace equations, fast diffusion equation, and porous medium equation, etc.