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 ∂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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.