On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator

DOI10.1137/20M137762XzbMath1473.35647OpenAlexW3200404613MaRDI QIDQ3383048

D. V. Korikov, Mikhail I. Belishev

Publication date: 23 September 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m137762x

zbMATH Keywords

electric impedance tomography problem for nonorientable two-dimensional Riemannian manifolds

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) Elliptic equations on manifolds, general theory (58J05) Ideals, maximal ideals, boundaries (46J20) Harmonic functions on Riemann surfaces (30F15)

Related Items (6)

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 ⋮ On characterization of Hilbert transform of Riemannian surface with boundary

Cites Work

• On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator
• On the EIT problem for nonorientable surfaces
• Determining anisotropic real-analytic conductivities by boundary measurements
• Geometrization of Rings as a Method for Solving Inverse Problems
• Function algebras
• 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)
• On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds
• On the Classification of Noncompact Surfaces
• Unnamed Item

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