scholarly journals Some general gradient estimates for two nonlinear parabolic equations along Ricci flow

2020 ◽  
pp. 337-376
Author(s):  
Wen Wang ◽  
Hui Zhou ◽  
Rul ng Xie ◽  
Songt ng Yin
Keyword(s):  
Ricci Flow ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Gradient Estimates ◽  
Nonlinear Parabolic

scholarly journals Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Guangyue Huang ◽  
Bingqing Ma
Keyword(s):  
Ricci Flow ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
The Other ◽  
Gradient Estimates ◽  
Nonlinear Parabolic

We consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equationut=Δu+aulog⁡u+buwitha,bbeing two real constants; the other isut=Δu+λuαwithλ,αbeing two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-Souplet-Zhang-type gradient estimates.

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