Hamilton-Souplet-Zhang's Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow. (28th January 2016)

• Record Type: Journal Article
• Authors: Huang, Guangyue; Ma, Bingqing
• Other Names: Verbitsky Igor E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-01-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/2894207
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equation u t = Δ u + a u log ⁡ u + b u with a, b being two real constants; the other is u t = Δ u + λ u α with λ, α being two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-Souplet-Zhang-type gradient estimates.