Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

The concavity of $p$-Rényi entropy power for doubly nonlinear diffusion equations and $L^p$-Gagliardo-Nirenberg-Sobolev inequalities (1911.10525v1)

Published 24 Nov 2019 in math.AP and math.DG

Abstract: We prove the concavity of $p$-R\'enyi entropy power for positive solutions to the doubly nonlinear diffusion equations on $\mathbb{R}n$ or compact Riemannian manifolds with nonnegative Ricci curvature. As applications, we give new proofs of the sharp $Lp$-Sobolev inequality and $Lp$-Gagliardo-Nirenberg inequalities on $\mathbb{R}n$. Moreover, two improvement of $Lp$-Gagliardo-Nirenberg inequalities are derived.

Summary

We haven't generated a summary for this paper yet.