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Inverse Boundary Value Problem for Maxwell Equations with Local Data
Authors:Pedro Caro  Petri Ola
Institution:1. Department of Mathematics , Universidad Autónoma de Madrid , Madrid, Spain;2. Department of Mathematics and Statistics , University of Helsinki , Helsinki, Finland
Abstract:We prove a uniqueness theorem for an inverse boundary value problem for the Maxwell system with boundary data assumed known only in part of the boundary. We assume that the inaccessible part of the boundary is either part of a plane, or part of a sphere. This work generalizes the results obtained by Isakov 4 Isakov , V. ( 2007 ). On uniqueness in the inverse conductivity problem with local data . Inverse Probl. Imaging 1 : 95105 .Crossref], Web of Science ®] Google Scholar]] for the Schrödinger equation to Maxwell equations.
Keywords:Inverse problem  Maxwell equations  Partial data
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