4 papers
Inverse coefficient problem for the wave equation with nonlocal attenuation
Yavar Kian, Zouhour Rezig, Gunther Uhlmann
In this article, we investigate the inverse problem of determining time-dependent first- and zeroth-order coefficients for a wave equation with nonlocal-in-time attenuation on a Ri…
An inverse problem for the time-dependent linear Boltzmann equation in a Riemannian setting
Zouhour Rezig
The linear Boltzmann equation governs the absorption and scattering of a population of particles in a medium with an ambient field, represented by a Riemannian metric, where partic…
Stable determination of a vector field in a non-self-adjoint dynamical Schrödinger equation on Riemannian manifolds
Mourad Bellassoued, Ibtissem Ben Aïcha, Zouhour Rezig
This paper deals with an inverse problem for a non-self-adjoint Schrödinger equation on a compact Riemannian manifold. Our goal is to stably determine a real vector field from the…
Simultaneous determination of two coefficients in the Riemannian hyperbolic equation from boundary measurements
Mourad Bellassoued, Zouhour Rezig
In this paper we consider the inverse problem of determining on a compact Riemannian manifold the electric potential and the absorption coefficient in the wave equation with Dirich…