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math.PR2011
On a high-dimensional nonlinear stochastic partial differential equation
Lahcen Boulanba, Mohamed Mellouk
In this paper we investigate a nonlinear stochastic partial differential equation (spde in short) perturbed by a space-correlated Gaussian noise in arbitrary dimension , wi…
math.PR2006★ 23 cited
Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density
Lahcen Boulanba, M'hamed Eddahbi, Mohamed Mellouk
In this paper we study a class of stochastic partial differential equations in the whole space , with arbitrary dimension , driven by a Gaussian noise whit…