The goal of this paper is to prove a uniqueness result for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy's uncertainty principle for stochastic heat evolutions.
@article{arxiv.1605.01490,
title = {Hardy's uncertainty principle and unique continuation property for stochastic heat equations},
author = {Aingeru Fernández-Bertolin and Jie Zhong},
journal= {arXiv preprint arXiv:1605.01490},
year = {2016}
}