28 citations · 129 across the 26 of their papers we have counts for
21 papers · 1 filter
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…
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…
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…
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…
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…
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…
Inverse problems for general parabolic systems and application to Ornstein-Uhlenbeck equation
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar
We investigate the link between inverse problems and final state observability for a general class of parabolic systems. We generalize a stability result for initial data due to Ga…
Identification of source terms in heat equation with dynamic boundary conditions
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar
We study an inverse parabolic problem of identifying two source terms in heat equation with dynamic boundary conditions from a final time overdetermination data. Using a weak solut…
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar
We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dyna…
The cost of approximate controllability of heat equation with dynamical boundary conditions
I. Boutaayamou, S. E. Chorfi, L. Maniar +1
We consider the heat equation with dynamic bounary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this…
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar +1
In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stab…