arXiv subjects

Mohamed Hamrouni

Publications and source records attributed to Mohamed Hamrouni.

2 recordsLinked to original sources

arXiv2024

Stability analysis of inverse problems for coupled magnetic Schrödinger equations

We consider the inverse coefficient problem of simultaneously determining the space dependent electromagnetic potential, the zero-th order coupling term and the first order coupling vector of a two-state Schrödinger equation in a bounded domain of $\mathbb{R}^d$, $d \ge 2$, from finitely many partial boundary measurements of the solution. We prove that these $3d+3$ unknown scalar coefficients can be Hölder stably retrieved by $(3d+2)$-times suitably changing the initial condition attached at the system.

math.AP↗

arXiv2022

Determining the potential and the gradient coupling of two-state quantum systems in an infinite waveguide

We consider the inverse coefficient problem of simultaneously determining the space dependent electric potential, the zero-th order coupling term and the first order coupling vector of a two-state Schrödinger equation in an infinite cylindrical domain of $\mathbb{R}^n$, $n \ge 2$, from finitely many partial boundary measurements of the solution. We prove that these $n+1$ unknown scalar coefficients can be Hölder stably retrieved by $(n+1)$-times suitably changing the initial condition attached at the system.

math.AP↗