The concavity of Rényi entropy power for the parabolic p-Laplace equations and applications

• DOI: 10.1007/s00229-019-01118-9
• Publication Date: 2019-03-16T03:03:11Z
• Authors: Yu-Zhao Wang; Yan-Mei Wang
• Keywords: 0101 mathematics; 01 natural sciences

In this paper, we prove that the concavity of Renyi entropy power of positive solutions to the parabolic p-Laplace equations on compact Riemannian manifold with nonnegative Ricci curvature. As applications, we derive the improved $$L^p$$ -Gagliardo-Nirenberg inequalities.