On the electric impedance tomography problem for nonorientable surfaces with internal holes

DOI10.1090/spmj/1778zbMath1527.35497OpenAlexW4388524912MaRDI QIDQ6066402

D. V. Korikov

Publication date: 16 November 2023

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1778

zbMATH Keywords

electric impedance tomography of surfacesalgebraic version of boundary control method

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)

Cites Work

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• Hodge decomposition. A method for solving boundary value problems
• Introduction to Smooth Manifolds
• On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator
• 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)
• Electric impedance tomography problem for surfaces with internal holes ^*
• Optimal stability for the inverse problem of multiple cavities
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