Gradient estimates for a nonlinear Lichnerowicz equation under general geometric flow on complete noncompact manifolds (Q318326)
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scientific article; zbMATH DE number 6632728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gradient estimates for a nonlinear Lichnerowicz equation under general geometric flow on complete noncompact manifolds |
scientific article; zbMATH DE number 6632728 |
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Gradient estimates for a nonlinear Lichnerowicz equation under general geometric flow on complete noncompact manifolds (English)
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5 October 2016
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gradient estimates
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geometric flow
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Harnack inequality
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The authors obtain gradient estimates for positive solutions to the semilinear parabolic equation NEWLINE\[NEWLINE \partial_tu=\Delta u+cu^{-\alpha} NEWLINE\]NEWLINE under general geometric flow on complete noncompact manifolds, where \(\alpha>0\) and \(c\) are constants. As application, the corresponding Harnack inequality is given.
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