On an inverse boundary problem arising in brain imaging

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

6 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)2471-2502
Journal / PublicationJournal of Differential Equations
Volume267
Issue number4
Online published1 Apr 2019
Publication statusPublished - 5 Aug 2019
Externally publishedYes

Abstract

We consider the inverse problem of recovering both an unknown electric current and the surrounding electromagnetic parameters of a medium from boundary measurements. This inverse problem arises in brain imaging. We show that under generic conditions one can recover both the source and the electromagnetic parameters if these are piecewise constant and the source current is invariant in a fixed direction or a harmonic function, respectively.

Research Area(s)

  • Electroencephalography and magnetoencephalography, Identifiability and uniqueness, Inverse boundary problem, Maxwell system

Citation Format(s)

On an inverse boundary problem arising in brain imaging. / Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther.

In: Journal of Differential Equations, Vol. 267, No. 4, 05.08.2019, p. 2471-2502.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal