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

Yumeng Li; Ran Wang; Nian Yao; Shuguang Zhang

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arXiv · 1509.01757

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

Yumeng Li·Ran Wang·Nian Yao·Shuguang Zhang

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Abstract

In this paper, we study the Moderate Deviation Principle for a perturbed stochastic heat equation in the whole space $\rr^d, d\ge1$. 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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Yumeng Li, Ran Wang, Nian Yao, Shuguang Zhang. 2015-09-06. Moderate deviations for a fractional stochastic heat equation with spatially correlated noise. https://arxiv.org/abs/1509.01757

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