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
Published in:Journal of function spaces 2016-01, Vol.2016 (2016), p.1-7
Main Authors: Huang, Guangyue, Ma, Bingqing
Format: Article
Language:English
Subjects:
Brownian motion
Colleges & universities
Constants
Estimates
Function space
Information science
Mathematical analysis
Mathematical research
Nonlinearity
Parabola
Vector spaces
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Summary: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-Souplet-Zhang-type gradient estimates.
ISSN:2314-8896
2314-8888
DOI:10.1155/2016/2894207