Large deviations for a fractional stochastic heat equation in spatial dimension ${\mathbb{R}}^d$ driven by a spatially correlated noise

Tarik El Mellali, Mohamed Mellouk

In this paper we study the Large Deviation Principle (LDP in abbreviation) for a class of Stochastic Partial Differential Equations (SPDEs) in the whole space ${\mathbb{R}}^d$, with…