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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The impedance tomography problem


Author: A. Boumenir
Journal: Proc. Amer. Math. Soc. 131 (2003), 3553-3557
MSC (1991): Primary 47-XX, 39B42, 35R30
Published electronically: February 24, 2003
MathSciNet review: 1991768
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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.


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Additional Information

A. Boumenir
Affiliation: Department of Mathematics, State University of West Georgia, Carrollton, Georgia 30118
Email: boumenir@westga.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06942-9
PII: S 0002-9939(03)06942-9
Keywords: Boundary inversion problem, tomography
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
Article copyright: © Copyright 2003 American Mathematical Society