On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows

Abstract

In this paper, we prove the Li-Yau type Harnack inequality and Hamilton type dimension free Harnack inequality for the heat equation ${\partial }_{t}u=Lu$ associated with the time dependent Witten Laplacian on complete Riemannian manifolds equipped with a variant of the $(K,m)$-super Perelman Ricci flows and the $K$-super Perelman Ricci flows.

To appear in the Special Issue of the Asian Journal of Mathematics in honor of Prof. N. Mok's 60th birthday

Cited by in corpus (1)

• Hamilton differential Harnack inequality and $W$-entropy for Witten Laplacian on Riemannian manifolds