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An Inverse Problem For Maxwell’s Equations In Non-isotropic Media

Posted on:2016-11-22Degree:MasterType:Thesis
Country:ChinaCandidate:L X ZhaoFull Text:PDF
GTID:2180330467494979Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
We consider Maxwell’s equations for a non-isotropic and inhomogeneous medi-um. We discuss an inverse problem of determining the permittivity tensor and the permeability tensor in the constitutive relations from a finite number of lateral boundary measurements. By applying a Carleman estimate, we prove an estimate of the Lipschitz type for stability provided that ε1,ε,μ1,μ satisfy some a priori conditions.
Keywords/Search Tags:inverse problem, Maxwell’s equations, non-isotropic, Carleman estimate, stability
PDF Full Text Request
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