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math.PR2024
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…
math.PR2022
Hessian estimates for Dirichlet and Neumann eigenfunctions of Laplacian
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
By methods of stochastic analysis on Riemannian manifolds, we develop two approaches to determine an explicit constant for an -dimensional compact manifold with bound…