Electric impedance tomography problem for surfaces with internal holes *

DOI10.1088/1361-6420/AC245CzbMath1475.35409arXiv2104.07754OpenAlexW3198251503MaRDI QIDQ5157859

A. V. Badanin, D. V. Korikov, Mikhail I. Belishev

Publication date: 20 October 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07754

zbMATH Keywords

algebraic version of the boundary control methoddetermination of the Riemann surface from its DN-map

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Elliptic equations on manifolds, general theory (58J05) PDEs on manifolds (35R01)

Related Items (5)

On the electric impedance tomography problem for nonorientable surfaces with internal holes ⋮ Stability of Determination of Riemann Surface from its Dirichlet-to-Neumann Map in Terms of Teichmüller Distance ⋮ Stability estimates in determination of non-orientable surface from its Dirichlet-to-Neumann map ⋮ New notions and constructions of the boundary control method ⋮ Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions

Cites Work

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• The Calderon Problem for Two-Dimensional Manifolds by the BC-Method
• Boundary control and tomography of Riemannian manifolds (the BC-method)
• On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds
• Two theorems concerning functions holomorphic on multiply connected domains
• Optimal stability for the inverse problem of multiple cavities

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