Stability estimate for an inverse problem for the electro-magnetic wave equation and spectral boundary value problem

Hajer Ben Joud (1)

1 Laboratoire Mathematiques et Applications

In this paper, we prove the stability estimate of the inverse problem for the determination the magnetic field and the electric potential using the Neumann spectral data. We show that the knowledge of the eigenvalues and the boundary value of the normal derivatives of the corresponding eigenfunctions, and of the electro-magnetic Schrödinger operator, are sufficient to uniquely determine the magnetic field and the electric potential.

Mots clés: Stability estimate; hyperbolic inverse problem; magnetic field; Dirichlet to Neumann map; spectral data.

Mots clés: spectral data

Domaines: Equations aux dérivées partielles [math.AP]

Hajer Ben Joud. Stability estimate for an inverse problem for the electro-magnetic wave equation and spectral boundary value problem. 2009. ⟨hal-00426786⟩