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20132022
most citedStable reconstruction of the volatility in a regime-switching local volatility model

3 citations · 4 across the 6 of their papers we have counts for

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15 papers · 1 filter

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…

math.AP2021

Stable recovery of a metric tensor from the partial hyperbolic Dirichlet to Neumann map

Mourad Bellassoued

In this paper we consider the inverse problem of determining on a compact Riemannian manifold the metric tensor in the wave equation with Dirichlet data from measured Neumann bound…

math.AP2019

Global logarithmic stability results on the Cauchy problem for anisotropic wave equations

Mourad Choulli, Mourad Bellassoued

We discuss the Cauchy problem for anisotropic wave equations. Precisely, we address the question to know which kind of Cauchy data on the lateral boundary are necessary to guarante…

math.AP2019

An inverse problem for the Linear Boltzmann Equation with time-dependent coefficient

Mourad Bellassoued, Yosra Boughanja

In this paper, we study the stability in the inverse problem of determining the time dependent absorption coefficient appearing in the linear Boltzmann equation, from boundary obse…