Gradient estimates for positive solutions of heat equations under Finsler-Ricci flow (Q2069926)
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scientific article; zbMATH DE number 7461314
| Language | Label | Description | Also known as |
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| English | Gradient estimates for positive solutions of heat equations under Finsler-Ricci flow |
scientific article; zbMATH DE number 7461314 |
Statements
Gradient estimates for positive solutions of heat equations under Finsler-Ricci flow (English)
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21 January 2022
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The author establishes the 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, the corresponding Harnack inequality is derived. The obtained results that provide extensions of the known framework.
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Finsler metric
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gradient estimate
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heat equation
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Finsler-Ricci flow
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Ricci curvature tensor
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weighted Ricci curvature
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