Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide

Abstract

We prove logarithmic stability in the determination of the time-dependent scalar potential in a 1-periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrödinger equation.

17 pages

References in corpus (3)

• Complex spherical waves and inverse problems in unbounded domains
• An inverse anisotropic conductivity problem induced bytwisting a homogeneous cylindrical domain
• Stability of the determination of a coefficient for the wave equation in an infinite wave guide

Cited by in corpus (3)

• Carleman estimate for infinite cylindrical quantum domains and application to inverse problems
• An inverse anisotropic conductivity problem induced bytwisting a homogeneous cylindrical domain
• Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains