Some remarks on the impedance tomography problem for 3d-manifolds

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Abstract

We derive the formulas expressing the topological characteristics (Betti numbers) of 3d-manifold with boundary through its Dirichlet-to-Neumann maps associated with scalar and vector harmonic fields.

Keywords

impedance tomography , 3d-manifolds , Betti numbers , harmonic fields , friedrichs decomposition , Elliptic Dirichlet-to-Neumann map
  • M.I. Belishev Saint-Petersburg, Department of the Steklov Mathematical Institute (POMI), 27 Fontanka, St. Petersburg 191011, Russia.ika, St. Petersburg 19101 1, Russia.
  • Pages: 43–55
  • Date Published: 2005-04-01
  • Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal

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Published

2005-04-01

How to Cite

[1]
M. Belishev, “Some remarks on the impedance tomography problem for 3d-manifolds”, CUBO, vol. 7, no. 1, pp. 43–55, Apr. 2005.

Issue

Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal

Section

Articles