solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看101次
Li-Yau multiplier set and optimal Li-Yau gradient estimate on hyperbolic spaces. (arXiv:1807.05709v1 [math.DG])
来源于:arXiv
In this paper, motivated by finding sharp Li-Yau type gradient estimate for
positive solution of heat equations on complete Riemannian manifolds with
negative Ricci curvature lower bound, we first introduce the notion of Li-Yau
multiplier set and show that it can be computed by heat kernel of the manifold.
Then, an optimal Li-Yau type gradient estimate is obtained on hyperbolic spaces
by using recurrence relations of heat kernels on hyperbolic spaces. Finally, as
an application, we obtain sharp Harnack inequalities on hyperbolic spaces. 查看全文>>