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arXiv 2015-09-06 2 views

Moderate deviations for a fractional stochastic heat equation with spatially correlated noise

Li, Yumeng · Wang, Ran · Yao, Nian · Zhang, Shuguang

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In this paper, we study the Moderate Deviation Principle for a perturbed stochastic heat equation in the whole space ᵈ, d≥1. This equation is driven by a Gaussian noise, white in time and correlated in space, and the differential operator is a fractional derivative operator. The weak convergence method plays an important role.

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