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Some Gradient Estimates and Liouville Properties of the Fast Diffusion Equation on Riemannian Manifolds

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摘要 In the paper,the authors provide a new proof and derive some new elliptic type(Hamilton type)gradient estimates for fast diffusion equations on a complete noncompact Riemannian manifold with a fixed metric and along the Ricci flow by constructing a new auxiliary function.These results generalize earlier results in the literature.And some parabolic type Liouville theorems for ancient solutions are obtained.
作者 Wen WANG Rulong XIE Pan ZHANG
机构地区 School of Mathematics and Statistics School of Mathematics and Statistics School of Mathematical Sciences School of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2021年第4期529-550,共22页 数学年刊（B辑英文版）
基金 supported by the National Natural Science Foundation of China(Nos.11721101,11971026) the Natural Science Foundation of Anhui Province(Nos.1908085QA04,2008085QA08) Natural Science Foundation of Education Committee of Anhui Province(Nos.KJ2017A454,KJ2019A0712,KJ2019A0713) Excellent Young Talents Foundation of Anhui Province(Nos.GXYQ2017048,GXYQ2017070,GXYQ2020049) the research project of Hefei Normal University(No.2020PT26)。
关键词 Gradient estimate Fast diffusion equation Ricci flow Liouville theorem
分类号 O186.12 [理学—基础数学]
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Chinese Annals of Mathematics,Series B
2021年 第4期

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