STABILITY FOR THE ALIGNED MAGNETIC FIELD BY THE DIRICHLET-TO-NEUMANN MAP FOR THE WAVE EQUATION IN A PERIODIC QUANTUM WAVEGUIDE - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

STABILITY FOR THE ALIGNED MAGNETIC FIELD BY THE DIRICHLET-TO-NEUMANN MAP FOR THE WAVE EQUATION IN A PERIODIC QUANTUM WAVEGUIDE

Résumé

We consider the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic wave equation in a periodic quantum cylindrical waveguide from boundary observations. The observation is given by the Dirichlet to Neumann map associated to the wave equation. We prove by means of the geometrical optics solutions of the magnetic wave equation that the knowledge of the Dirichlet-to-Neumann map determines uniquely the aligned magnetic field induced by a time independent and 1-periodic magnetic potential. We establish a Hölder-type stability estimate in the inverse problem.
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Dates et versions

hal-01331884 , version 1 (14-06-2016)
hal-01331884 , version 2 (29-11-2016)

Identifiants

  • HAL Id : hal-01331884 , version 1

Citer

Youssef Mejri. STABILITY FOR THE ALIGNED MAGNETIC FIELD BY THE DIRICHLET-TO-NEUMANN MAP FOR THE WAVE EQUATION IN A PERIODIC QUANTUM WAVEGUIDE. 2016. ⟨hal-01331884v1⟩
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