Year: 2019
Type: preprint
Abstract: We examine in this article the one-dimensional, non-local, singular SPDE \begin{equation*} \partial_t u \;=\; -\, (-Δ)^{1/2} u \,-\, \sinh(γu) \,+\, ξ\;, \end{equation*} where $γ\in \mathbb{R}$, $(-Δ)^{1/2}$ is the fractional Laplacian of order $1/2$, $ξ$ the space-time white noise in $\mathbb{R} \times \mathbb{T}$, and $\mathbb{T}$ the one-dimensional torus. We show that for $0
Source: arXiv (Cornell University)
Authors: Chiarini, L., Landim, C.
Institution: Laboratoire de Mathématiques Raphaël Salem
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2996987493