Hitting with probability one for stochastic heat equations with additive noise
Probability
2023-08-01 v1
Abstract
We study the hitting probabilities of the solution to a system of stochastic heat equations with additive noise subject to Dirichlet boundary conditions. We show that for any bounded Borel set with positive -dimensional capacity, the solution visits this set almost surely.
Cite
@article{arxiv.2307.16129,
title = {Hitting with probability one for stochastic heat equations with additive noise},
author = {Robert C. Dalang and Fei Pu},
journal= {arXiv preprint arXiv:2307.16129},
year = {2023}
}