Gradient estimates for a weighted \(\Gamma\)-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications (Q6161628)
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scientific article; zbMATH DE number 7692092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gradient estimates for a weighted \(\Gamma\)-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications |
scientific article; zbMATH DE number 7692092 |
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Gradient estimates for a weighted \(\Gamma\)-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications (English)
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5 June 2023
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The author establishes local and global gradient estimates of elliptic-type for positive smooth solutions of a suitable nonlinear parabolic equation. Further, he presents some consequences of these results to parabolic Harnack inequalities and to derive a general Liouville-type theorem.
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weighted Riemannian manifold
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gradient estimates
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super Perelman-Ricci flow
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Bakry-Émery tensor
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Harnack inequality
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Liouville theorem
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