Stochastic and deterministic non-autonomous reaction-diffusion equations

2025/10/12 by Bignamini, Davide A., De Fazio, Paolo
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2510.10842

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.

Citations

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