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20182022
most citedA note on Harnack and Transportation inequalities For Stochastic Differential Equations with reflections

3 citations · 3 across the 2 of their papers we have counts for

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math.PR2022

Approximation of a degenerate semilinear PDEs with a nonlinear Neumann boundary condition

Khaled Bahlali, Brahim Boufoussi, Soufiane Mouchtabih

We consider a system of semilinear partial differential equations (PDEs) with a nonlinearity depending on both the solution and its gradient. The Neumann boundary condition depends…

math.PR2020

Penalization for a PDE with a Nonlinear Neumann boundary condition and measurable coefficients *

Khaled Bahlali, Brahim Boufoussi, Soufiane Mouchtabih

We consider a system of semi-linear partial differential equations with measurable coefficients and a nonlinear Neumann boundary condition. We then construct a sequence of penalize…

math.PR2020

Quadratic transportation inequalities for SDEs with measurable drift

Khaled Bahlali, Soufiane Mouchtabih, Ludovic Tangpi

Let X be the solution of the multidimensional stochastic differential equationdX(t) = b(t, X(t)) dt + sigma(t, X(t)) dW(t)\, with X(0)=x where W is a standard Brownian motion. We s…

math.PR20193 cited

A note on Harnack and Transportation inequalities For Stochastic Differential Equations with reflections

Brahim Boufoussi, Soufiane Mouchtabih

We establish transportation cost inequalities, with respect to the uniform and -metric, on the path space of continuous functions, for laws of solutions of stochastic differen…

math.PR2018

Controllability of Neutral Stochastic Functional Integro-Differential Equations Driven by Fractional Brownian Motion with Hurst Parameter Lesser than 1/2

Brahim Boufoussi, Soufiane Mouchtabih

In this article we investigate the controllability for neutral stochastic functional integro-differential equations with finite delay, driven by a fractional Brownian motion with H…

math.PR2018

On a nonlinear neutral stochastic functional integro-differential equation driven by fractional Brownian motion

B. Boufoussi, S. Hajji, S. Mouchtabih

In this paper, we study the existence and uniqueness of mild solution for a stochastic neutral partial functional integro-differential equation with delay in a Hilbert space driven…