Olivier Poisson

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20232026

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math.AP2025

Inverse problem for the discrete Maxwell equations in a bounded paving

Olivier Poisson

We consider the discrete anisotropic Maxwell operator DaH0 on a bounded paving $Ω$ $\subset$ Z3 , where H0 denotes discrete isotropic Maxwell operator and Da a diagonal operator of…

math.AP2024

Rellich type theorem and unique continuation property for discrete Maxwell operators

Hiroshi Isozaki, Olivier Poisson

We study the Rellich type theorem (RT) for the Maxwell operator __ D = D____0 on Z3 in a constant anisotropic medium, i.e., the permittivity and permeability of which are constant…

math.AP2023

Spectral analysis of the discrete Maxwell operator: The limiting absorption principle

Olivier Poisson

We are interested by the spectral analysis of the anisotropic discrete Maxwell operator $H^^{D}$ defined on the square lattice $Z Z^{3}$ . In aim to prove that the limitin…