23 citations · 54 across the 9 of their papers we have counts for
7 papers · 1 filter
Limit theorem and LIL for some additive functionals associated to fBm and Riemann-Liouiville process
Mohamed Ait Ouahra, Abderrahim Aslimani, Mhamed Eddahbi +1
In this paper, we first establish a strong approximation version for the first order limit theorem of some additive functionals related to two non-Markovian Gaussian processes: the…
Moderate deviations for a stochastic Burgers equation
Rachid Belfadli, Lahcen Boulanba, Mohamed Mellouk
A moderate deviations principle for the law of a stochastic Burgers equation is proved via the weak convergence approach. In addition, some useful estimates toward a central limit…
Large deviations for a stochastic Cahn-Hilliard equation in Hölder norm
Lahcen Boulanba, Mohamed Mellouk
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. We prove the Large Deviations Principle (LDP) for the law of the solutions…
Large deviations for a fractional stochastic heat equation in spatial dimension 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 , with…
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…
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…