论文标题
梯度估计的刚度和稳定性
The rigidity and stability of gradient estimates
论文作者
论文摘要
在本说明中，我们获得了尖锐的Cheng-Yau梯度估计值的刚性，该渐变功能在具有非曲线曲率的表面上的积极谐波功能，这是对热方程式的正面解决方案的尖锐li-yau梯度估算的刚度以及对Riemannian corparts curvation curvation fore to dirichlet Green的相关估计值的相关估计值。此外，我们还获得了相应的稳定性结果。
In this note, we obtain the rigidity of the sharp Cheng-Yau gradient estimate for positive harmonic functions on surfaces with nonegative Gaussian curvature, the rigidity of the sharp Li-Yau gradient estimate for positive solutions to heat equations and the related estimates for Dirichlet Green's functions on Riemannian manifolds with nonnegative Ricci curvature. Moreover, we also obtain the corresponding stability results.
