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20052024
most citedThe closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry

247 citations

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9 papers · 1 filter

math.AP2021★ 2 cited

Stable recovery of non-compactly supported electromagnetic potentials in unbounded domain

Yavar Kian, Yosra Soussi

We consider the inverse problem of determining an electromagnetic potential appearing in an infinite cylindrical domain from boundary measurements. More precisely, we prove the sta…

math.AP2019★ 7 cited

Splitting-based domain decomposition methods for two-phase flow with different rock types

Elyes Ahmed

In this paper, we are concerned with the global pressure formulation of immiscible incompressible two-phase flow between different rock types. We develop for this problem two robus…

math.AP2019

Viscosity solution of system of integro-partial differential equations with interconnected obstacles of non-local type without Monotonicity Conditions

Said Hamadène, Mohamed Mnif, Sarah Neffati

In this paper, we study a system of second order integro-partial differential equations with interconnected obstacles with non-local terms, related to an optimal switching problem…

math.AP2019★ 7 cited

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…

math.AP2018★ 4 cited

The inverse problem of two-state quantum systems with non-adiabatic static linear coupling

Andrii Khrabustovskyi, Imen Rassas, Éric Soccorsi

We consider the inverse problem of determining the coupling coefficients in a two-state Schrödinger system. We prove a Lipschitz stability inequality for the zeroth and first order…

math.AP2018

A Borg-Levinson theorem for magnetic Schrödinger operators on a Riemannian manifold

Mourad Bellassoued, Mourad Choulli, Dos Santos Ferreira +2

This article is concerned with uniqueness and stability issues for the inverse spectral problem of recovering the magnetic field and the electric potential in a Riemannian manifold…