Gradient estimates for positive solutions of heat equations under Finsler-Ricci flow

DOI10.1016/J.JMAA.2021.125897zbMath1485.53091OpenAlexW4200211032WikidataQ125995371 ScholiaQ125995371MaRDI QIDQ2069926

Xin Yue Cheng

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125897

zbMATH Keywords

heat equationgradient estimateFinsler metricRicci curvature tensorweighted Ricci curvatureFinsler-Ricci flow

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Ricci flows (53E20)

Related Items (2)

Differential Harnack inequality for a parabolic equation under the Finsler-geometric flow ⋮ Unnamed Item

Cites Work

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• Differential Harnack estimates for positive solutions to heat equation under Finsler-Ricci flow
• Gradient estimates for positive solutions of the heat equation under geometric flow
• Comparison theorems in Finsler geometry and their applications
• Finsler interpolation inequalities
• Gradient estimates for solutions of the heat equation under Ricci flow
• On the parabolic kernel of the Schrödinger operator
• Volume comparison and its applications in Riemann-Finsler geometry
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• Eigenvalues and eigenfunctions of metric measure manifolds
• Gradient estimates for a nonlinear heat equation under the Finsler-Ricci flow

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