The impedance tomography problem
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Abstract:
Using an operator theoretic framework and pseudo-spectral methods, we provide a simple and explicit formula for the conductivity coefficient in terms of the Dirichlet to Neumann map and the eigenvalues of the Laplacian operator.References
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Additional Information
- A. Boumenir
- Affiliation: Department of Mathematics, State University of West Georgia, Carrollton, Georgia 30118
- MR Author ID: 288615
- Email: boumenir@westga.edu
- Received by editor(s): May 27, 2002
- Received by editor(s) in revised form: June 24, 2002
- Published electronically: February 24, 2003
- Communicated by: Joseph A. Ball
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3553-3557
- MSC (1991): Primary 47-XX, 39B42, 35R30
- DOI: https://doi.org/10.1090/S0002-9939-03-06942-9
- MathSciNet review: 1991768