Gradient estimates and Harnack inequality for positive solutions to the heat equation under compact Finsler $CD(-K,N)$ geometric flows

Bin Shen

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arXiv · 2504.05327

Gradient estimates and Harnack inequality for positive solutions to the heat equation under compact Finsler $CD(-K,N)$ geometric flows

Bin Shen

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Abstract

In this manuscript, we extend the global gradient estimates for positive solutions to the heat equation under a general compact Finsler $CD(-K,N)$ geometric flow and derive the corresponding Harnack inequality.

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BibTeX RIS

Bin Shen. 2025-03-31. Gradient estimates and Harnack inequality for positive solutions to the heat equation under compact Finsler $CD(-K,N)$ geometric flows. https://arxiv.org/abs/2504.05327

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