28 citations · 50 across the 17 of their papers we have counts for
18 papers
A direct approach to sharp Li-Yau Estimates on closed manifolds with negative Ricci lower bound
Xingyu Song, Ling Wu, Meng Zhu
Recently, Qi S.Zhang [26] has derived a sharp Li-Yau estimate for positive solutions of the heat equation on closed Riemannian manifolds with the Ricci curvature bounded below by a…
Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications
Xingyu Song, Ling Wu, Meng Zhu
We establish a Gaussian upper bound of the heat kernel for the Laplace-Beltrami operator on complete Riemannian manifolds with Bakry-Émery Ricci curvature bounded below. As applica…
Linear stability of compact shrinking Ricci solitons
Huai-Dong Cao, Meng Zhu
In this paper, we continue investigating the second variation of Perelman's -entropy for compact shrinking Ricci solitons. In particular, we improve some of our previous work in…
Diagonally quadratic BSDE with oblique reflection and optimal switching
Peng Luo, Mengbo Zhu
The present paper is devoted to the study of diagonally quadratic backward stochastic differential equation with oblique reflection. Using a penalization approach, we show the exis…
Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition
Ling Wu, Xingyu Song, Meng Zhu
On closed Riemannian manifolds with Bakry-Émery Ricci curvature bounded from below and bounded gradient of the potential function, we obtain lower bounds for all positive eigenvalu…
Gradient and Eigenvalue Estimates on the canonical bundle of Kähler manifolds
Zhiqin Lu, Qi S. Zhang, Meng Zhu
We prove certain gradient and eigenvalue estimates, as well as the heat kernel estimates, for the Hodge Laplacian on forms, i.e., sections of the canonical bundle of Kähler…