On an inverse boundary problem arising in brain imaging

Youjun Deng*, Hongyu Liu*, Gunther Uhlmann*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

22 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2471-2502
Number of pages32
JournalJournal of Differential Equations
Issue number4
Publication statusPublished - 5 Aug 2019

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

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


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