arXiv subjects

Ibtissem Ben Aicha

Publications and source records attributed to Ibtissem Ben Aicha.

2 recordsLinked to original sources

arXiv2016

Stability estimate for an inverse problem for the Schr{ö}dinger equation in a magnetic field with time-dependent coefficient

We study the stability issue in the inverse problem of determining the magnetic field and the time-dependent electric potential appearing in the Schrödinger equation, from boundary observations. We prove in dimension 3 or greater, that the knowledge of the Dicrichlet-to-Neumann map stably determines the magnetic field and the electric potential.

math.AP↗

arXiv2016

Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map

In this paper, we treat the inverse problem of determining two time-dependent coefficients appearing in a dissipative wave equation, from measured Neumann boundary observations. We establish in dimension $n\geq 2$, stability estimates with respect to the Dirichlet-to-Neumann map of these coefficients provided that are known outside a cloaking regions. Moreover, we prove that it can be stably recovered in larger subsets of the domain by enlarging the set of data

math.AP↗