Transportation cost inequalities for mean reflection SPDEs with white noise
Probability
2026-05-19 v1
Abstract
We establish a quadratic transportation cost inequality under the uniform norm for solutions to mean reflected stochastic partial differential equations, a new type of equation in which the compensating reflection part depends not on the paths but on the law of the solution.
Keywords
Cite
@article{arxiv.2605.17328,
title = {Transportation cost inequalities for mean reflection SPDEs with white noise},
author = {Beibei Zhang and Bin Qian},
journal= {arXiv preprint arXiv:2605.17328},
year = {2026}
}