Geodesic
Reconstruction of an unknown inclusion by thermography
Isakov, Victor1 ; Kim, Kyoungsun2 ; Nakamura, Gen2 
1 Department of Mathematics and Statistics, Wichita State University, Wichita, 67260-0033, USA
2 Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 4, pp. 725-758

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We establish a probe type reconstruction scheme for identifying an inclusion inside a heat conductive medium by nondestructive testing called thermography. For the one space dimension, this has been already achieved by Y. Daido, H. Kang and G. Nakamura. The present paper shows that their result can be generalized to higher space dimension.

Classification : 35R30

Isakov, Victor 1 ; Kim, Kyoungsun 2 ; Nakamura, Gen 2

1 Department of Mathematics and Statistics, Wichita State University, Wichita, 67260-0033, USA
2 Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan 
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     title = {Reconstruction of an unknown inclusion by thermography},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
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Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen. Reconstruction of an unknown inclusion by thermography. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 4, pp. 725-758. http://geodesic.mathdoc.fr/item/ASNSP_2010_5_9_4_725_0/