Finding the conductors in circular networks from boundary measurements

E. Curtis; E. Mooers; J. Morrow

doi:10.1051/m2an/1994280707811

All issues

Volume 28 / No 7 (1994)

ESAIM: M2AN, 28 7 (1994) 781-814

References

Free Access

Issue		ESAIM: M2AN Volume 28, Number 7, 1994


Page(s)		781 - 814
DOI		https://doi.org/10.1051/m2an/1994280707811
Published online		31 January 2017

A. P. CALDERON, On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, Soc. Brazileira de Mathematica, pp. 65-73. [MR: 590275] [Google Scholar]
E. B. CURTIS, T. EDENS and J. MORROW, Calculating the resistors in a network, in Proc. of the Annual International Conference of the IEEE Engineering in Medicine and Biology society, vol. 11, 1989, pp. 451-2. [Google Scholar]
E. B. CURTIS and J. A. MORROW, Determining the resistors in a network, SIAM J. of Applied Math., 50 (1990), pp. 918-930. [MR: 1050922] [Zbl: 0717.35092] [Google Scholar]
E. B. CURTIS and J. A. MORROW, The dirichlet to Neumann map for a resistor network, SIAM J. of Applied Math, 51 (1991), pp. 1011-1029. [MR: 1117430] [Zbl: 0744.35064] [Google Scholar]
R. KOHN and M. VOGELIUS, Identification of an unknown conductivity by means of measurements at the boundary, in SIAM-AMS Proceedings, vol. 14, 1985, pp. 113-123. [MR: 773707] [Zbl: 0573.35084] [Google Scholar]
J. SYLVESTER and G. UHLMANN, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math., 125 (1987), pp. 153-169. [MR: 873380] [Zbl: 0625.35078] [Google Scholar]

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[1] A. P. CALDERON, On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, Soc. Brazileira de Mathematica, pp. 65-73. [MR: 590275] [Google Scholar]

[2] E. B. CURTIS, T. EDENS and J. MORROW, Calculating the resistors in a network, in Proc. of the Annual International Conference of the IEEE Engineering in Medicine and Biology society, vol. 11, 1989, pp. 451-2. [Google Scholar]

[3] E. B. CURTIS and J. A. MORROW, Determining the resistors in a network, SIAM J. of Applied Math., 50 (1990), pp. 918-930. [MR: 1050922] [Zbl: 0717.35092] [Google Scholar]

[4] E. B. CURTIS and J. A. MORROW, The dirichlet to Neumann map for a resistor network, SIAM J. of Applied Math, 51 (1991), pp. 1011-1029. [MR: 1117430] [Zbl: 0744.35064] [Google Scholar]

[5] R. KOHN and M. VOGELIUS, Identification of an unknown conductivity by means of measurements at the boundary, in SIAM-AMS Proceedings, vol. 14, 1985, pp. 113-123. [MR: 773707] [Zbl: 0573.35084] [Google Scholar]

[6] J. SYLVESTER and G. UHLMANN, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math., 125 (1987), pp. 153-169. [MR: 873380] [Zbl: 0625.35078] [Google Scholar]