Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map

Abstract

We study the inverse problem of identifying a periodic potential perturbation of the Dirichlet Laplacian acting in an infinite cylindrical domain, whose cross section is assumed to be bounded. We prove log-log stable determination of the potential with respect to the partialDirichlet-to-Neumannmap, where theNeumann data is taken on slightly more than half of the boundary of the domain.