On an inverse boundary problem arising in brain imaging

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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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

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85063636788&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(2695e910-6170-44cb-a497-1f0e6b39d9bc).html

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

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Publication fingerprints text

100
Boundary Problem Mathematics
100
Independent Variabl... Mathematics
100
Inverse Problem Keyphrases
100
Inverse Boundary Pr... Keyphrases
100
Brain Imaging Keyphrases
100
Electromagnetic Par... Keyphrases
100
brain INIS
50
Piecewise Mathematics
50
Constant Mathematics
50
Direction Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
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 - Publication in refereed journal › peer-review