ricci-bourguignon流非线性后向热方程的哈纳克估计

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190049

Jian-hong Wang

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引用次数: 0

摘要

本文给出了Ricci- bourguignon流耦合的闭流形非线性后向热型方程正解的各种微分哈纳克估计，这是J.-Y对Ricci流所做的。吴[30]。这个证明完全遵循x - d给出的证明。Cao[4]为与Ricci流耦合的线性后向热型方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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HARNACK ESTIMATES FOR NONLINEAR BACKWARD HEAT EQUATIONS WITH POTENTIALS ALONG THE RICCI-BOURGUIGNON FLOW

In this paper, we derive various differential Harnack estimates for positive solutions to the nonlinear backward heat type equations on closed manifolds coupled with the Ricci-Bourguignon flow, which was done for the Ricci flow by J.-Y. Wu [30]. The proof follows exactly the one given by X.-D. Cao [4] for the linear backward heat type equations coupled with the Ricci flow.

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