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math.AP2019★ 3 cited
The concavity of -Rényi entropy power for doubly nonlinear diffusion equations and -Gagliardo-Nirenberg-Sobolev inequalities
Yu-Zhao Wang, Yan-Mei Wang
We prove the concavity of -Rényi entropy power for positive solutions to the doubly nonlinear diffusion equations on or compact Riemannian manifolds with nonnegat…
math.AP2019★ 3 cited
The concavity of -entropy power and applications in functional inequalities
Yu-Zhao Wang, Xinxin Zhang
In this paper, we prove the concavity of -entropy power of probability densities solving the -heat equation on closed Riemannian manifold with nonnegative Ricci curvature. As…