Stability of Determination of Riemann Surface from its Dirichlet-to-Neumann Map in Terms of Teichmüller Distance

DOI10.1137/22M1526496zbMath1527.35496MaRDI QIDQ6090009

D. V. Korikov, Mikhail I. Belishev

Publication date: 13 November 2023

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

zbMATH Keywords

Teichmüller spacesDirichlet-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)

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)
• Electric impedance tomography problem for surfaces with internal holes ^*
• Mappings of Partially Analytic Spaces

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