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Journal Articles Journal of Spectral Theory Year : 2018

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 partial Dirichlet-to-Neumann map, where the Neumann data is taken on slightly more than half of the boundary of the domain.
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Dates and versions

hal-01259753 , version 1 (20-01-2016)

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Mourad Choulli, Yavar Kian, Eric Soccorsi. Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map. Journal of Spectral Theory, 2018, 8 (2), pp.733-768. ⟨10.4171/JST/212⟩. ⟨hal-01259753⟩
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