A one-dimensional non-local singular SPDE

2019/12/26 by Chiarini, L., Landim, C.
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1912.11869

Abstract

We examine in this article the one-dimensional, non-local, singular SPDE ∂_t u = - (-Δ)^1/2 u - \sinh(γu) + ξ , where γ∈ ℝ, (-Δ)^1/2 is the fractional Laplacian of order 1/2, ξ the space-time white noise in ℝ × \mathbbT, and \mathbbT the one-dimensional torus. We show that for 0

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