Hamilton-Souplet-Zhang's gradient estimates for two types of nonlinear parabolic equations under the Ricci flow

Guangyue Huang; Bingqing Ma

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arXiv · 1508.07554

Hamilton-Souplet-Zhang's gradient estimates for two types of nonlinear parabolic equations under the Ricci flow

Guangyue Huang·Bingqing Ma

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Abstract

In this paper, we consider gradient estimates for two type of nonlinear parabolic equations under the Ricci flow: one is the equation $$u_t=Δu+au\log u+bu$$ with $a,b$ two real constants, the other is $$u_t=Δu+λu^α$$ with $λ,α$ two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-Souplet-Zhang type gradient estimates.

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BibTeX RIS

Guangyue Huang, Bingqing Ma. 2016-01-13. Hamilton-Souplet-Zhang's gradient estimates for two types of nonlinear parabolic equations under the Ricci flow. https://arxiv.org/abs/1508.07554

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