Identification of the curve of discontinuity of the determinant of the anisotropic conductivity

Journal of Inverse and Ill-Posed Problems

Volumn 8, Issue 3, 2000, Pages 273-285

  Ikehata, M ^a  

^a GUNMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CURRENTS; ELECTRIC POTENTIAL;

ANISOTROPIC CONDUCTIVITY; CONDUCTIVITY COEFFICIENT; POSITIVE DEFINITE; SUBDOMAIN;

ANISOTROPY;

EID: 0009594527     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.2000.8.3.273     Document Type: Article

References (9)

1. G. Alessandrini, Singular solution of elliptic equations and the determination of conductivity by boundary measurements. J. Differential Equations (1990) 84, 252-272.
2. V. Isakov, On uniqueness of recovery of a discontinuous conductivity coefficient. Comm. Pure and Appl. Math. (1988) 41, 865-877.
3. V. Isakov, Uniqueness and stability in multi-dimensional inverse problems. Inverse Problems (1993) 9, 579-621.
4. A. Nachman, Global uniqueness for a two-dimensional inverse boundary value problem. Ann. Math. (1996) 143, 71-96.
5. R. Kohn and M. Vogelius, Identification of an unknown conductivity by means of measurements at the boundary. SIAM-AMS Proceedings (1984) 14, 113-123.
6. J. M. Lee and G. Uhlmann, Determining anisotropic real-analytic conductivities by boundary measurements. Comm. Pure and Appl. Math. (1989) 42, 1097-1112.
7. J. Sylvester, An anisotropic inverse boundary value problem. Comm. Pure and Appl. Math. (1990) 43, 201-232.
8. J. Sylvester and G. Uhlmann, Inverse problems in anisotropic media. Contemp. Math. (1991) 122, 105-117.
9. J. Sylvester and G. Uhlmann, Inverse problems in partial differential equations. In: Proc. SIAM Inverse Problems in Partial Differential Equations. SIAM, Philadelphia, 1990, 101-139.