数学杂志2026，Vol.46Issue(3)：177-186,10.
非线性抛物方程的矩阵型Li-Yau-Hamilton估计
MATRIX LI-YAU-HAMILTON ESTIMATES FOR NONLINEAR PARABOLIC EQUATIONS
曹德侠 1任新安1
作者信息
- 1. 中国矿业大学数学学院,江苏徐州 221116
- 折叠
摘要
Abstract
In this paper we are concerned with the matrix Li-Yau-Hamilton estimates for nonlinear parabolic equations.By using the maximum principle for tensor,we derive such an estimate for nonlinear parabolic equations on Riemannian manifolds with metric evolving under the Ricci flow.Then we consider the estimate for nonlinear parabolic equations on Kähler manifolds with Kähler metrics evolving under the Kähler-Ricci flow.These results generalize the corresponding ones when the gradient term is quadratic.关键词
非线性抛物方程/Li-Yau-Hamilton估计/Ricci流/Kähler-Ricci流Key words
nonlinear parabolic equation/Li-Yau-Hamilton estimate/Ricci flow/Kähler-Ricci flow分类
数理科学引用本文复制引用
曹德侠,任新安..非线性抛物方程的矩阵型Li-Yau-Hamilton估计[J].数学杂志,2026,46(3):177-186,10.
