Abstract:This article generalizes the small noise cutoff phenomenon to the strong solutions of the stochastic heat equation and the stochastic wave equation over a bounded domain subject to additive and multiplicative Wiener and Lévy noises in the Wasserstein distance. For the additive noise case, we obtain analogous infinite dimensional results to the respective finite dimensional cases obtained recently by Barrera, Högele and Pardo (2021), that is, the (stronger) profile cutoff phenomenon for the stochastic heat equa… Show more
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