%0 Journal Article
%T Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Cheng, Xinyue
%A Wu, Pengsheng
%D 2022
%\ 07/01/2022
%V 3
%N 1
%P 1-15
%! Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow
%K Finsler-Ricci flow
%K gradient estimate
%K heat equation
%K weighted Ricci curvature
%K Ricci curvature tensor
%R 10.22098/jfga.2022.10956.1067
%X In this paper, we establish first order gradient estimates for positive global solutions of the heat equation under closed Finsler-Ricci flow with weighted Ricci curvature RicN bounded below, where N∈ (n,∞). As an application, we derive the corresponding Harnack inequality. Our results are the generalizations and the supplements of the previous known related results.
%U https://jfga.uma.ac.ir/article_1676_eee2c73abbda75f3d9655e7c15233f1e.pdf