Noncommutative geometry and the tomography of manifolds

DOI10.1090/S0077-1554-2014-00239-9zbMath1328.35300OpenAlexW2052340117MaRDI QIDQ5254450

A. N. Popov, M. N. Demchenko, Mikhail I. Belishev

Publication date: 9 June 2015

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-2014-00239-9

zbMATH Keywords

impedanceacoustic and electromagnetic tomographyconnections of tomography problems with noncommutative geometryrestoration of a Riemannian manifold from boundary data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Operator-theoretic methods (93B28) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry (à la Connes) (58B34) Maxwell equations (35Q61)

Related Items (1)

New notions and constructions of the boundary control method

Cites Work

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• Boundary control in reconstruction of manifolds and metrics (the BC method)
• The Calderon Problem for Two-Dimensional Manifolds by the BC-Method
• Recent progress in the boundary control method
• Time-optimal reconstruction of Riemannian manifold via boundary electromagnetic measurements

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