Global uniqueness from partial Cauchy data in two dimensions

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dc.creatorImanuvilov, Oleg Y.
dc.creatorUhlmann, Gunther
dc.creatorYamamoto, Masahiro
dc.date2008-10-13
dc.date.accessioned2026-07-07T10:09:40Z
dc.date.available2026-07-07T10:09:40Z
dc.descriptionWe prove for a two dimensional bounded domain that the Cauchy data for the Schroedinger equation measured on an arbitrary open subset of the boundary determines uniquely the potential. This implies, for the conductivity equation, that if we measure the current fluxes at the boundary on an arbitrary open subset of the boundary produced by voltage potentials supported in the same subset, we can determine uniquely the conductivity. We use Carleman estimates with degenerate weight functions to construct appropriate complex geometrical optics solutions to prove the results.
dc.identifierhttps://arxiv.org/abs/0810.2286
dc.identifierhttp://arxiv.org/abs/0810.2286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171389
dc.subjectAnalysis of PDEs
dc.subject35R30
dc.titleGlobal uniqueness from partial Cauchy data in two dimensions
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