28 citations · 129 across the 26 of their papers we have counts for
29 papers
Averaged Controllability of Time-Fractional Schrödinger Equations with Random Quantum Diffusivity
Jon Asier Bárcena-Petisco, Salah-Eddine Chorfi, Fouad Et-tahri +1
This paper addresses the problem of averaged controllability for the time-fractional Schrodinger equation, where the quantum diffusivity parameter is a random variable with a gener…
Inverse problems for time-fractional Schrödinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We study some inverse problems for time-fractional Schrödinger equations involving the Caputo derivative of fractional order . We prove refined uniqueness results from…
Forward and backward problems for abstract time-fractional Schrödinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We investigate forward and backward problems associated with abstract time-fractional Schrödinger equations , and $ν…
Logarithmic convexity of evolution equations and application to inverse problems
S. E. Chorfi
We review some results on the logarithmic convexity for evolution equations, a well-known method in inverse and ill-posed problems. We start with the classical case of self-adjoint…
Controllability and Inverse Problems for Hyperbolic and Dispersive Equations with Dynamic Boundary Conditions
S. E. Chorfi, L. Maniar, R. Morales
This review examines classical and recent results on controllability and inverse problems for hyperbolic and dispersive equations with dynamic boundary conditions. We aim to illust…
Stability of backward inverse problems for degenerate mean-field game systems
S. E. Chorfi, A. Habbal, M. Jahid +2
We investigate inverse backward-in-time problems for a class of second-order degenerate Mean-Field Game (MFG) systems. More precisely, given the final datum $(u(\cdot, T),m(\cdot,…
Uniqueness for the Schrödinger equation with an inverse square potential and application to controllability and inverse problems
S. E. Chorfi
In this paper, we prove a sharp uniqueness result for the singular Schrödinger equation with an inverse square potential. This will be done without assuming geometrical restriction…
Identification of source terms in the Schrödinger equation with dynamic boundary conditions from final data
Salah-Eddine Chorfi, Alemdar Hasanov, Roberto Morales
In this paper, we study an inverse problem of identifying two spatial-temporal source terms in the Schrödinger equation with dynamic boundary conditions from the final time overdet…
Controllability and Inverse Problems for Parabolic Systems with Dynamic Boundary Conditions
S. E. Chorfi, L. Maniar
This review surveys previous and recent results on null controllability and inverse problems for parabolic systems with dynamic boundary conditions. We aim to demonstrate how class…
Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control
S. E. Chorfi, M. I. Ismailov, L. Maniar +1
We consider the linear heat equation with a Wentzell-type boundary condition and a Dirichlet control. Such a boundary condition can be reformulated as one of dynamic type. First, w…
Stability of backward-in-time semilinear coupled parabolic systems
S. E. Chorfi, M. Yamamoto
We consider backward problems for semilinear coupled parabolic systems in bounded domains. We prove conditional stability estimates for linear and semilinear systems of strongly co…
Logarithmic convexity of non-symmetric time-fractional diffusion equations
S. E. Chorfi, L. Maniar, M. Yamamoto
We consider a class of diffusion equations with the Caputo time-fractional derivative subject to the homogeneous Dirichlet boundary conditions. Here, we conside…
Lipschitz stability for an inverse source problem of the wave equation with kinetic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
In this paper, we present a refined approach to establish a global Lipschitz stability for an inverse source problem concerning the determination of forcing terms in the wave equat…
Numerical impulse controllability for parabolic equations by a penalized HUM approach
S. E. Chorfi, G. El Guermai, L. Maniar +1
This work presents a comparative study to numerically compute impulse approximate controls for parabolic equations with various boundary conditions. Theoretical controllability res…
Stability estimates for initial data in general Ornstein-Uhlenbeck equations
S. E. Chorfi, L. Maniar
We consider the inverse problem of determining initial data in general Ornstein-Uhlenbeck equations on the Euclidean space from partial measurement localized on the so-called thick…
Logarithmic stability estimates for initial data in Ornstein-Uhlenbeck equation on -space
S. E. Chorfi, L. Maniar
In this paper, we continue the investigation on the connection between observability and inverse problems for a class of parabolic equations with unbounded first order coefficients…
Finite-time stabilization and impulse control of heat equation with dynamic boundary conditions
Salah-Eddine Chorfi, Ghita El Guermai, Lahcen Maniar +1
In this paper, we study the impulse controllability of a multi-dimensional heat equation with dynamic boundary conditions in a bounded smooth domain. Using a recent approach based…
The backward problem for time fractional evolution equations
S. E. Chorfi, L. Maniar, M. Yamamoto
In this paper, we consider the backward problem for fractional in time evolution equations with the Caputo derivative of order , where is a…
Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar
In this work, we study the stable determination of four space-dependent coefficients appearing in a coupled semilinear parabolic system with variable diffusion matrices subject to…
Numerical identification of initial temperatures in heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
We investigate the inverse problem of numerically identifying unknown initial temperatures in a heat equation with dynamic boundary conditions whenever some overdetermination data…
Boundary null controllability for the heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, A. Khoutaibi +1
In this paper, we are concerned with the boundary controllability of heat equation with dynamic boundary conditions. More precisely, we prove that the equation is null controllable…
Logarithmic convexity and impulsive controllability for the 1-D heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
In this paper, we prove a logarithmic convexity that reflects an observability estimate at a single point of time for 1-D heat equation with dynamic boundary conditions. Consequent…
Impulse null approximate controllability for heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex…
Identification of source terms in wave equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
This paper studies an inverse hyperbolic problem for the wave equation with dynamic boundary conditions. It consists of determining some forcing terms from the final overdeterminat…