On the linearized local Calderon problem

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dc.creatorFerreira, D. Dos Santos
dc.creatorKenig, C. E.
dc.creatorSjoestrand, J.
dc.creatorUhlmann, G.
dc.date2009-05-05
dc.date.accessioned2026-07-07T13:11:49Z
dc.date.available2026-07-07T13:11:49Z
dc.descriptionIn this article, we investigate a density problem coming from the linearization of Calderón's problem with partial data. More precisely, we prove that the set of products of harmonic functions on a bounded smooth domain $Ω$ vanishing on any fixed closed proper subset of the boundary are dense in $L^{1}(Ω)$ in all dimensions $n \geq 2$. This is proved using ideas coming from the proof of Kashiwara's Watermelon theorem.
dc.identifierhttps://arxiv.org/abs/0905.0530
dc.identifierhttp://arxiv.org/abs/0905.0530
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229405
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.titleOn the linearized local Calderon problem
dc.typetext

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