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

Abstract

We consider the inverse problem of determining an electromagnetic potential appearing in an infinite cylindrical domain from boundary measurements. More precisely, we prove the stable recovery of some general class of magnetic field and electric potential from boundary measurements. Assuming some knowledge of the unknown coefficients close to the boundary, we obtain also some results of stable recovery with measurements restricted to some portion of the boundary. Our approach combines construction of complex geometric optics solutions and Carleman estimates suitably designed for our stability results stated in an unbounded domain.

References in corpus (4)

• On the Calderòn problem in periodic cylindrical domain with partial Dirichlet and Neumann data
• Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map
• Stability estimates for a Magnetic Schrodinger operator with partial data
• Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide