Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion
Probability
2023-11-03 v1
Abstract
We prove a regularization by noise phenomenon for semilinear SPDEs driven by multiplicative cylindrical Brownian motion and singular diffusion coefficient. The analysis is based on a combination of infinite dimensional generalizations of arguments in the SDE setting as well as careful maximal regularity analysis for semilinear SPDEs and Volterra-sewing techniques.
Cite
@article{arxiv.2311.00764,
title = {Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion},
author = {Florian Bechtold and Fabian A. Harang},
journal= {arXiv preprint arXiv:2311.00764},
year = {2023}
}