4.3 Article

EIT IN A LAYERED ANISOTROPIC MEDIUM

Journal

INVERSE PROBLEMS AND IMAGING
Volume 12, Issue 3, Pages 667-676

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/ipi.2018028

Keywords

EIT; anisotropic conductivity; stratified media

Funding

  1. FRA 2016 Problemi inversi, dalla stabilita alla ricostruzione - Universita degli Studi di Trieste
  2. Simons Foundation under the MATH + X program
  3. National Science Foundation [DMS-1559587]
  4. MACSI, the Mathematics Applications Consortium for Science and Industry - Science Foundation Ireland Investigator Award [12/IA/1683]
  5. Gruppo Nazionale per l' Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) - Analisi di problemi inversi: stabilita e ricostruzione
  6. Division Of Mathematical Sciences
  7. Direct For Mathematical & Physical Scien [1559587] Funding Source: National Science Foundation

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We consider the inverse problem in geophysics of imaging the subsurface of the Earth in cases where a region below the surface is known to be formed by strata of different materials and the depths and thicknesses of the strata and the (possibly anisotropic) conductivity of each of them need to be identified simultaneously. This problem is treated as a special case of the inverse problem of determining a family of nested inclusions in a medium Omega subset of R-n, n >= 3.

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