Mild solutions to semilinear rough partial differential equations
Probability
2025-11-24 v1 Functional Analysis
Abstract
We provide an existence and uniqueness result for mild solutions to rough partial differential equations in the framework of the semigroup approach. Applications to stochastic partial differential equations driven by infinite dimensional Wiener processes and infinite dimensional fractional Brownian motion are presented as well.
Cite
@article{arxiv.2403.09466,
title = {Mild solutions to semilinear rough partial differential equations},
author = {Stefan Tappe},
journal= {arXiv preprint arXiv:2403.09466},
year = {2025}
}
Comments
49 pages