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.
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Mourad Choulli, Yavar Kian, Éric Soccorsi, Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map. J. Spectr. Theory 8 (2018), no. 2, pp. 733–768DOI 10.4171/JST/212