数学杂志2021，Vol.41Issue(1)：57-70,14.
多孔介质方程在一般几何流演化下的梯度估计
GRADIENT ESTIMATE FOR POSITIVE SOLUTIONS OF THE PME UNDER GEOMETRIC FLOW
赵赫磊1
作者信息
- 1. 武汉大学数学与统计学院,湖北武汉430072
- 折叠
摘要
Abstract
In this paper,we derive a local gradient estimate of the Aronson-Benilan type with Laplace operator and drifting Laplace operator for positive solutions of porous medium equations posed on Riemainnian manifolds with bounded symmetric tensor by using Li-Yau method.These results extend Zhu Xiao-bao's and Deng Yi-hua's results.关键词
梯度估计/几何流/多孔介质方程/哈拿克不等式Key words
gradient estimate/geometric flow/porous medium equations/Harnack inequality分类
数理科学引用本文复制引用
赵赫磊..多孔介质方程在一般几何流演化下的梯度估计[J].数学杂志,2021,41(1):57-70,14.
