Gradient estimates and Harnack inequalities for a Yamabe-type parabolic equation under the Yamabe flow

• 作者: Liangdi Zhang
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（6）
• 所属期刊栏目: Articles
• 页码范围: 1201-1230
• 页数: 30页
• 语种: 英文

摘要

In this paper,we derive a series of gradient estimates and Harnack inequalities for positive solutions of a Yamabe-type parabolic partial differential equation (△-(δ)t)u =pu + qua+1 under the Yamabe flow.Here p,q ∈ C2,1(Mn ×[0,T]) and a is a positive constant.