8 citations · 8 across the 2 of their papers we have counts for
4 papers
Differential Harnack inequalities for Fisher-KPP type equations on Riemannian manifolds
Zhihao Lu
We obtain almost optimal differential Harnack inequalities for a class of nonlinear parabolic equations on Riemannian manifolds with Bakry-Émery Ricci curvature bounded below, whic…
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds I: Bakry-Émery curvature bounded below
Zhihao Lu
In this paper, we present a unified method for deriving differential Harnack inequalities for positive solutions of the semilinear parabolic equation \begin{equation*} \partial_t u…
Logarithmic gradient estimate and Universal bounds for semilinear elliptic equations revisited
Zhihao Lu
We derive the complete and optimal Cheng--Yau gradient estimates and universal bounds for subcritical semilinear elliptic equations on Riemannian manifolds with (Bakry-Émery) Ricci…
Liouville theorems and Harnack inequalities for Allen-Cahn type equation
Zhihao Lu
We first give a logarithmic gradient estimate for positive solutions of Allen-Cahn equation on Riemannian manifolds with Ricci curvature bounded below. As its natural corallary, Ha…