22 citations · 28 across the 10 of their papers we have counts for
11 papers
Sharp Li--Yau Inequalities for Dunkl Harmonic Oscillators
Huaiqian Li, Bin Qian
We study the Li--Yau inequality for the heat equation corresponding to the Dunkl harmonic oscillator, which is a non-local Schrödinger operator parameterized by reflections and mul…
Li--Yau Inequalities for Dunkl Heat Equations
Huaiqian Li, Bin Qian
Motivated by recent works due to Yu--Zhao [J. Geom. Anal. 2020] and Weber--Zacher [arXiv:2012.12974], we study Li--Yau inequalities for the heat equation corresponding to the Dunkl…
Revisiting Li-Yau type inequalities on Riemannian manifolds
Bin Qian
Inspired Yau's work (Comm. Anal. Geom., 1994), in this short note we provide a new version of Li-Yau gradient estimate for the linear heat equation, which generalizes some known re…
Remarks on Li-Yau inequality on graphs
Bin Qian
In this paper, we study Li-Yau gradient estimates for the solutions to the heat equation on graphs under the curvature condition introduced by Bauer…
-Uniqueness of the Fokker-Planck equation on a Riemannian manifold
Bin Qian, Liming Wu
In this paper, we obtain a necessary and sufficient condition for -uniqueness of Sturm-Liouville operator on an open interv…
Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operators
Bin Qian
In this paper, under the generalized curvature-dimension inequality recently introduced by F. Baudoin and N. Garofalo, we obtain differential Harnack inequalities for the positive…