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<p>In this paper, we prove the concavity of <i>p</i>-Rényi entropy power for doubly nonlinear diffusion equation on compact Riemannian manifolds with nonnegative Ricci curvature and derive an explicit variational formula via trace free tensors. Moreover, we obtain a Hamilton type gradient estimate for doubly nonlinear diffusion equation on compact Riemannian manifolds with nonnegative Ricci curvature.</p>

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The Concavity of p-Rényi Entropy Power and Hamilton Type Gradient Estimate for Doubly Nonlinear Diffusion Equation on Riemannian Manifolds

  • 期刊论文

  • 发表日期：

    2026年3月18日

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  • Yu-Zhao Wang

摘要

In this paper, we prove the concavity of p-Rényi entropy power for doubly nonlinear diffusion equation on compact Riemannian manifolds with nonnegative Ricci curvature and derive an explicit variational formula via trace free tensors. Moreover, we obtain a Hamilton type gradient estimate for doubly nonlinear diffusion equation on compact Riemannian manifolds with nonnegative Ricci curvature.