Stochastic and deterministic non-autonomous reaction-diffusion equations

Fuente: arXiv
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Main Authors: Bignamini, Davide A., De Fazio, Paolo
Format: Preprint
Published: 2025
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author Bignamini, Davide A.
De Fazio, Paolo
author_facet Bignamini, Davide A.
De Fazio, Paolo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_10842
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stochastic and deterministic non-autonomous reaction-diffusion equations
Bignamini, Davide A.
De Fazio, Paolo
Probability
Analysis of PDEs
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.
title Stochastic and deterministic non-autonomous reaction-diffusion equations
topic Probability
Analysis of PDEs
url https://arxiv.org/abs/2510.10842