Dirichlet-to-Neumann Map for Poincaré-Einstein Metrics in Even Dimensions

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dc.creatorWang, Fang
dc.date2009-05-15
dc.date.accessioned2026-07-07T13:15:34Z
dc.date.available2026-07-07T13:15:34Z
dc.descriptionWe study the linearization of the Dirichlet-to-Neumann map for Poincaré-Einstein metrics in even dimensions on an arbitrary compact manifold with boundary. By fixing a suitable gauge, we make the linearized Einstein equation elliptic. In this gauge the linearization of the Dirichlet-to-Neumann map appears as the scattering matrix for an elliptic operator of 0-type, modified by some differential operators. We study the scattering matrix by using the 0-calculus and generalize a result of Graham for the case of the standard hyperbolic metric on a ball.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0905.2457
dc.identifierhttp://arxiv.org/abs/0905.2457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230507
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58J32
dc.titleDirichlet-to-Neumann Map for Poincaré-Einstein Metrics in Even Dimensions
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