Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide

Abstract

<p style='text-indent:20px;'>We study the stability issue for the inverse problem of determining a coefficient appearing in a Schrödinger equation defined on an infinite cylindrical waveguide. More precisely, we prove the stable recovery of some general class of non-compactly and non periodic coefficients appearing in an unbounded cylindrical domain. We consider both results of stability from full and partial boundary measurements associated with the so called Dirichlet-to-Neumann map.</p>