Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions

DOI10.1515/JIIP-2022-0024OpenAlexW4322493736MaRDI QIDQ2697763

D. V. Korikov, Mikhail I. Belishev

Publication date: 13 April 2023

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

Full work available at URL: https://doi.org/10.1515/jiip-2022-0024

zbMATH Keywords

Dirichlet-to-Neumann mapholomorphic immersionselectric impedance tomography of surfacesstability of determination

Mathematics Subject Classification ID

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)

Related Items (2)

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

Cites Work

• Unnamed Item
• On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator
• On the EIT problem for nonorientable surfaces
• On characterization of Hilbert transform of Riemannian surface with boundary
• On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator
• Determining anisotropic real-analytic conductivities by boundary measurements
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map
• The Calderon Problem for Two-Dimensional Manifolds by the BC-Method
• Boundary control and tomography of Riemannian manifolds (the BC-method)
• Electric impedance tomography problem for surfaces with internal holes ^*

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