Super and Weak Poincar\'e Inequalities for Sticky-Reflected Diffusion Processes
Probability
2025-08-27 v1
Abstract
As a continuation to \cite{MRW} where the Poincar\'e and log-Sobolev inequalities were studied for the sticky-reflected Brownian motion on Riemannian manifolds with boundary, this paper establishes the super and weak Poincar\'e inequalities for more general sticky-reflected diffusion processes. As applications, the convergence rate and uniform integrability of the associated diffusion semigroups are characterized. The main results are illustrated by concrete examples.
Cite
@article{arxiv.2508.18846,
title = {Super and Weak Poincar\'e Inequalities for Sticky-Reflected Diffusion Processes},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:2508.18846},
year = {2025}
}