Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155461 | Stochastic Processes and their Applications | 2016 | 20 Pages |
Abstract
In this paper, we prove Hamilton’s Harnack inequality and the gradient estimates of the logarithmic heat kernel for the Witten Laplacian on complete Riemannian manifolds. As applications, we prove the WW-entropy formula for the Witten Laplacian on complete Riemannian manifolds, and prove a family of logarithmic Sobolev inequalities on complete Riemannian manifolds with natural geometric condition.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xiang-Dong Li,