Inverse source problems for eddy current equations

Alonso Rodriguez, Ana and Camaño, Jessika and Valli, Alberto (2011) Inverse source problems for eddy current equations. UNSPECIFIED. (Submitted)

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    We study the inverse source problem for the eddy current approximation of Maxwell equations. As for the full system of Maxwell equations, we show that a volume current source cannot be uniquely identified by the knowledge of the tangential components of the electromagnetic fields on the boundary, and we characterize the space of non-radiating sources. On the other hand, we prove that the inverse source problem has a unique solution if the source is supported on the boundary of a subdomain or if it is the sum of a finite number of dipoles. We address the applicability of this result for the localization of brain activity from electroencephalography and magnetoencephalography measurements.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA374.7 Partial differential equations
    Report Number: UTM 748
    Repository staff approval on: 21 Jul 2011

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