On the EIT problem for nonorientable surfaces

DOI10.1515/JIIP-2020-0129zbMath1469.35246arXiv2009.08367OpenAlexW3116970655MaRDI QIDQ2042414

D. V. Korikov, Mikhail I. Belishev

Publication date: 20 July 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08367

zbMATH Keywords

2D-Riemannian manifold with boundarycriterion of orientability via DN mapdetermination of manifold from DN map

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Harmonic functions on Riemann surfaces (30F15) PDEs on manifolds (35R01)

Related Items (7)

Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds ⋮ 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 ⋮ Electric impedance tomography problem for surfaces with internal holes ^* ⋮ On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator

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• 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

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