The Calderón problem with partial data

dc.creatorKenig, C. E.
dc.creatorSjoestrand, J.
dc.creatorUhlmann, G.
dc.date2004-05-26
dc.date2005-09-14
dc.date.accessioned2026-07-07T05:08:35Z
dc.date.available2026-07-07T05:08:35Z
dc.descriptionIn this paper we improve an earlier result by Bukhgeim and Uhlmann, by showing that in dimension larger than or equal to three, the knowledge of the Cauchy data for the Schrödinger equation measured on possibly very small subsets of the boundary determines uniquely the potential. We follow the general strategy of Bukhgeim and Uhlmann but use a richer set of solutions to the Dirichlet problem.
dc.descriptionRevised version (Nov 5, 2004) fixing a mistake in section 6 and adding an application to the original problem for the conductivity. Revised version (Sept 14, 2005) modifying a few lines in the introduction and correcting the formula (1.8)
dc.identifierhttps://arxiv.org/abs/math/0405486
dc.identifierhttp://arxiv.org/abs/math/0405486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71320
dc.subjectAnalysis of PDEs
dc.subject35R30
dc.titleThe Calderón problem with partial data
dc.typetext

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