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math.AP2023
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…
math.AP2019
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…
math.AP2018
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…