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arXiv · 2510.10842

Stochastic and deterministic non-autonomous reaction-diffusion equations

Davide A. Bignamini·Paolo De Fazio
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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.

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Davide A. Bignamini, Paolo De Fazio. 2025-10-12. Stochastic and deterministic non-autonomous reaction-diffusion equations. https://arxiv.org/abs/2510.10842

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