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

• 作者: Wen WANG Rulong XIE Pan ZHANG
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 529-550
• 页数: 22页
• 语种: 英文
• DOI: 10.1007/s11401-021-0276-3

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.