A note on stochastic semilinear dissipative evolution equations
Probability
2025-12-23 v1 Analysis of PDEs
Abstract
Existence and uniqueness of mild solutions to a class of semilinear stochastic evolution equations with additive noise is proved. The linear part of the drift term is the generator of a compact semigroup of contractions, while the nonlinear part is only assumed to be the superposition operator associated to a decreasing function.
Keywords
Cite
@article{arxiv.2512.18398,
title = {A note on stochastic semilinear dissipative evolution equations},
author = {Carlo Marinelli},
journal= {arXiv preprint arXiv:2512.18398},
year = {2025}
}
Comments
14 pages