Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10140313 | Nonlinear Analysis: Theory, Methods & Applications | 2019 | 14 Pages |
Abstract
In this paper, we prove the concavity of p-entropy power of probability densities solving the p-heat equation on closed Riemannian manifold with nonnegative Ricci curvature. As applications, we give new proofs of Lp-Euclidean Nash inequality and Lp-Euclidean Logarithmic Sobolev inequality, moreover, an improvement of Lp-Logarithmic Sobolev inequality is derived.
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Authors
Yu-Zhao Wang, Xinxin Zhang,