Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616398 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
Abstract
In this paper, we give a generalization of (global and local) differential Harnack inequalities for heat equations obtained by Li and Xu [J.F. Li, X.J. Xu, Differential Harnack inequalities on Riemannian manifolds I: linear heat equation, Adv. Math. 226 (5) (2011) 4456–4491] and Baudoin and Garofalo [F. Baudoin, N. Garofalo, Perelman’s entropy and doubling property on Riemannian manifolds, J. Geom. Anal. 21 (2011) 1119–1131]. From this we can derive new Harnack inequalities and new lower bounds for the associated heat kernel. Also we provide some new entropy formulas with monotonicity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bin Qian,