4 papers
Gradient Estimates for Neumann Semigroups on Manifolds with Boundary under Unbounded Curvature Conditions
Li-Juan Cheng, Feng-Ya Lin
This paper establishes Bismut-type formulas and gradient estimates for Feynman--Kac semigroups on Riemannian manifolds with boundary, under geometric conditions formulated in terms…
-Boundedness of the Covariant Riesz Transform on Differential Forms for
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
We establish the \(L^p\)-boundedness, for \(p>2\), of the covariant Riesz transform \(\nabla(Î_μ^{(k)}+Ï)^{-1/2} \) on differential forms over a class of complete weighted Riema…
Hessian matrix estimates of heat-type equations via Bismut-Stroock Hessian formula
Li-Juan Cheng, Rui-Yu Yang
In this paper, we establish a new global Hessian matrix estimate for heat-type equations on Riemannian manifolds using a Bismut-type Hessian formula. Our results feature fully expl…
Probability Versions of Li-Yau Type Inequalities and Applications
Feng-Yu Wang, Li-Juan Cheng
By using stochastic analysis, two probability versions of Li-Yau type inequalities are established for diffusion semigroups on a manifold possibly with (non-convex) boundary. The i…