44 citations · 102 across the 10 of their papers we have counts for
13 papers
On the Besov-Orlicz path regularity of some Gaussian processes
Rachid Belfadli, Brahim Boufoussi, Youssef Ouknine
In this paper, we rely on the additive decomposition in law satisfied by a class of stochastic processes, combined with the well-known regulariy properties of fractional Brownian m…
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…
On the uniform Besov regularity of local times of general processes
Brahim Boufoussi, Yassine Nachit
Our main purpose is to use a new condition, -local nondeterminism, which is an alternative to the classical local nondeterminism usually utilized in the Gaussian framework, in o…
Local times for systems of non-linear stochastic heat equations
Brahim Boufoussi, Yassine Nachit
We consider the solution to a system of non-linear stochastic heat equations in spatial dimension one driven by a -dimensional space-time whi…
On the Besov regularity of the bifractional Brownian motion
Brahim Boufoussi, Yassine Nachit
Our aim in this paper is to improve Hölder continuity results for the bifractional Brownian motion (bBm) with and . We prove that alm…
On Besov regularity and local time of the stochastic heat equation
Brahim Boufoussi, Yassine Nachit
Sharp Besov regularities in time and space variables are investigated for , the mild solution to the stochastic heat equation…