Stochastic and deterministic non-autonomous reaction-diffusion equations
Probability
2025-11-04 v2 Analysis of PDEs
Abstract
In this paper we prove the well-posedness of non-autonomous deterministic and stochastic reaction-diffusion equations with a polynomial reaction term. Concerning the stochastic problem, we also prove a new result on the space-time regularity of the non-autonomous stochastic convolution.
Cite
@article{arxiv.2510.10842,
title = {Stochastic and deterministic non-autonomous reaction-diffusion equations},
author = {Davide A. Bignamini and Paolo De Fazio},
journal= {arXiv preprint arXiv:2510.10842},
year = {2025}
}