Stability estimate for an inverse problem for the Schr{ö}dinger equation in a magnetic field with time-dependent coefficient

Abstract

We study the stability issue in the inverse problem of determining the magnetic field and the time-dependent electric potential appearing in the Schrödinger equation, from boundary observations. We prove in dimension 3 or greater, that the knowledge of the Dicrichlet-to-Neumann map stably determines the magnetic field and the electric potential.

References in corpus (2)

• Stability estimate for hyperbolic inverse problem with time dependent coefficient
• Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map

Cited by in corpus (4)

• A partial data inverse problem for the Convection-diffusion equation
• Stability estimates for relativistic Schrödinger equation from partial boundary data
• Stability estimate for a partial data inverse problem for the convection-diffusion equation
• Uniqueness for time-dependent inverse problems with single dynamical data