Time-optimal reconstruction of Riemannian manifold via boundary electromagnetic measurements

DOI10.1515/jiip.2011.028zbMath1279.35069arXiv1101.5701OpenAlexW2962875068WikidataQ115236090 ScholiaQ115236090MaRDI QIDQ5745456

M. N. Demchenko, Mikhail I. Belishev

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5701

zbMATH Keywords

inverse problemBC-methodMaxwell system on manifoldreconstruction of manifold via dynamical response operator

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Boundary value problems on manifolds (58J32) Partial differential equations of mathematical physics and other areas of application (35Qxx) Partial differential equations on manifolds; differential operators (58Jxx)

Related Items (7)

Reachable sets of a Lamé type dynamical system ⋮ Determination of distances to a virtual source through dynamical boundary data ⋮ Boundary control and tomography of Riemannian manifolds (the BC-method) ⋮ Elements of noncommutative geometry in inverse problems on manifolds ⋮ Determination of the fast velocity in a Lamé type dynamical system ⋮ Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces ⋮ Noncommutative geometry and the tomography of manifolds

Cites Work

• Dynamical systems with boundary control: models and characterization of inverse data
• Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss–Sakamoto condition
• Boundary control in reconstruction of manifolds and metrics (the BC method)
• Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons
• Recent progress in the boundary control method

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