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math.AP2022
Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements
Nesrine Aroua, Mourad Bellassoued
In this paper, we consider the inverse boundary value problem for the polyharmonic operator. We prove that the second order perturbations are uniquely determined by the correspondi…
math.AP2022
Stability estimate for an inverse problem for the time harmonic magnetic Schrödinger operator from the near and far field pattern
Mourad Bellassoued, Houssem Haddar, Amal Labidi
We derive conditional stability estimates for inverse scattering problems related to time harmonic magnetic Schrödinger equation. We prove logarithmic type estimates for retrieving…
math.AP2022
Identification of unbounded electric potentials through asymptotic boundary spectral data
Mourad Bellassoued, Yavar Kian, Yosra Mannoubi +1
We prove that the real-valued electric potential of the Dirichlet Laplacian acting in a bounded domain , , is…