安徽大学学报（自然科学版）2026，Vol.50Issue(3)：23-27,5.DOI:10.3969/j.issn.1000-2162.2026.03.004
平均曲率流下热方程的梯度估计
The gradient estimate of heat equation under the mean curvature flow
摘要
Abstract
In the paper we considered the mean curvature flow of closed space-like hypersurfaces in Minkowski space.We derived a gradient estimate of heat equation along the mean curvature flow by using the maximum principle of parabolic differential equations.As an application,we obtained a Harnack inequality for positive solutions of the heat equation under mean curvature flow.关键词
平均曲率流/梯度估计/Harnack不等式/闵可夫斯基空间Key words
mean curvature flow/gradient estimate/Harnack inequality/Minkowski space分类
数理科学引用本文复制引用
桂湘,张鸿翼,方守文..平均曲率流下热方程的梯度估计[J].安徽大学学报（自然科学版）,2026,50(3):23-27,5.基金项目
江苏省自然科学基金面上项目(BK20191435) （BK20191435）
