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

We consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equation ut=Δu+aulog⁡u+bu with a,b being two real constants; the other is ut=Δu+λuα with λ,α being two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-...

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Bibliographic Details
Main Authors: Guangyue Huang, Bingqing Ma
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/2894207