Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform

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dc.creatorGreenleaf, Allan
dc.creatorUhlmann, Gunther
dc.date2000-01-18
dc.date2000-11-09
dc.date.accessioned2026-07-07T04:33:21Z
dc.date.available2026-07-07T04:33:21Z
dc.descriptionWe consider the Dirichlet-to-Neumann map associated to the Schrödinger equation with a potential in a bounded Lipschitz domain in three or more dimensions. We show that the integral of the potential over a two-plane is determined by the Cauchy data of certain exponentially growing solutions on any neighborhood of the intersection of the two-plane with the boundary.
dc.descriptionFinal revision, to appear in the Duke Mathmematical Journal
dc.identifierhttps://arxiv.org/abs/math/0001099
dc.identifierhttp://arxiv.org/abs/math/0001099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58543
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35R30; 44A12
dc.titleLocal uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
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