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arXiv · 1404.0190

Differential Harnack Estimates for heat Equation under Finsler-Ricci Flow

Sajjad Lakzian
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Abstract

In this paper we prove first order differential Harnack estimates for positive solutions of the heat equation (in the sense of distributions) under closed Finsler-Ricci flows. We assume mild non-linearities (in terms of the Chern connection, $\mathbf{S}-$curvature and Hessian) and suitable Ricci curvature bounds throughout the flow. One of the key tools we use is the Bochner identity for Finsler structures proved by Ohta and Sturm.

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Sajjad Lakzian. 2014-04-01. Differential Harnack Estimates for heat Equation under Finsler-Ricci Flow. https://doi.org/10.2140/pjm.2015.278.447

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