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math.AP2026
The initial-to-final inverse problem for the heat operator
Enric Alberola, Nesrine Aroua, Pedro Caro
We study an inverse problem for the heat equation in a medium that generates internal heat at a rate proportional to the heat density. The goal consists of determining the heat-gen…
math.AP2023
Determination of first order perturbation for bi-harmonic operator by asymptotic boundary spectral data
Nesrine Aroua, Mourad Bellassoued
This article deals with the multidimensional Borg-Levinson theorem for perturbed bi-harmonic operator. More precisely, in a bounded smooth domain of , with , we pro…
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…