Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 508, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2021.125897
Keywords
Finsler metric; Gradient estimate; Heat equation; Finsler-Ricci flow; Ricci curvature tensor; Weighted Ricci curvature
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Funding
- National Natural Science Foundation of China [11871126]
- Science Foundation of Chongqing Normal University [17XLB022]
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We establish first order gradient estimates for positive solutions of the heat equations under closed Finsler-Ricci flow with weighted Ricci curvature bounded from below. As an application, we derive the corresponding Harnack inequality. Our results generalize the previous known related results.
We establish first order gradient estimates for positive solutions of the heat equations under closed Finsler-Ricci flow with weighted Ricci curvature bounded from below. As an application, we derive the corresponding Harnack inequality. Our results generalize the previous known related results.(c) 2021 Published by Elsevier Inc.
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