Super and Weak Poincar\'e Inequalities for Sticky-Reflected Diffusion Processes

Feng-Yu Wang

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arXiv · 2508.18846

Super and Weak Poincar\'e Inequalities for Sticky-Reflected Diffusion Processes

Feng-Yu Wang

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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.

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Feng-Yu Wang. 2025-08-26. Super and Weak Poincar\'e Inequalities for Sticky-Reflected Diffusion Processes. https://arxiv.org/abs/2508.18846

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