Inverse conductivity problem in the infinite slab

Inverse Problems

Volumn 17, Issue 3, 2001, Pages 437-454

  Ikehata, Masaru ^a  

^a GUNMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035363049     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/3/305     Document Type: Article

References (25)

1. Aizenberg L 1993 Carleman's Formulas in Complex Analysis (London: Kluwer)
2. Beals R and Coifman R R 1985 Multidimensional inverse scattering and nonlinear partial differential equations Pseudodifferential Operators and Applications: Proc. Symp. Pure Math. (Notre Dame, IN 1984) vol 43 (Providence, RI: American Mathematical Society) pp 45-70
3. Calderón A P 1980 On an inverse boundary value problem Seminar on Numerical Analysis and its Applications to Continuum Physics ed W H Meyer and M A Raupp (Rio de Janeiro: Brazilian Mathematical Society) pp 65-73
4. Carleman T 1926 Les Fonctions Quasi Analytiques (Paris: Gauthier-Villars) pp 3-6
5. Faddeev L D 1966 Increasing soultions of Schrödinger equation Sov. Phys.-Dokl. 10 1033-5
6. Ikehata M 1998 Reconstruction of the shape of the inclusion by boundary measurements Commun. Part. Diff. Eq. 1459-74
7. Ikehata M 2000 Reconstruction of the support function for inclusion from boundary measurements J. Inv. Ill-Posed Problems 8 367-78
8. Ikehata M Reconstruction of inclusion from boundary measurements J. Inv. Ill-Posed Problems at press
9. Ikehata M 1999 How to draw a picture of an unknown inclusion. Two methematical inversion algorithms J. Inv. Ill-Posed Problems 7 255-71 .
10. Ikehata M 1999 Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data Inverse Problems 15 1231-41
11. Ikehata M 2000 On reconstruction in the inverse conductivity problem with one measurement Inverse Problems 16 785-93
12. Ikehata M 1999 Reconstruction of obstacle from boundary measurements Wave Motion 30 205-23
13. Ikehata M 1998 Reconstruction of an obstacle from the scattering amplitude at a fixed frequency Inverse Problems 14 949-54
14. Ikehata M and Nakamura G 1999 Slicing of a three-dimensional object from boundary measurements Inverse Problems 15 1243-53
15. Ikehata M and Siltanen S 2000 Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements Inverse Problems 16 1043-52
16. Kohn R and Vogelius M 1985 Determining conductivity by boundary measurements II. Interior Results Commun. Pure Appl. Math. 38 643-67
17. Mittag-Leffler G 1904 Sur la représentation analytique d'une branche uniforme d'une fonction monogéne Acta Math. 29 101-215
18. Nachman A 1988 Reconstructions from boundary measurements Ann. Math. 128 531-77
19. Nachman A 1996 Global uniqueness for a two-dimensional inverse boundary value problem Ann. Math. 143 71-96
20. Tarkhanov N N 1995 The Cauchy problem for solutions of elliptic equations Mathematical Topics vol 17 (Berlin: Akademic)
21. Uhlmann G 1999 Developments in inverse problems since Calderón's foundational paper Harmonic Analysis and Partial Differential Equations ed M Christ, C E Kenig and C Sadosky (Chicago, IL: The University of Chicago Press) pp 295-345
22. Yarmukhamedov Sh 1972 Integral representations of harmonic functions in multi-dimensions Dokl. Akad. Nauk 204 799-802 (in Russian)
23. Yarmukhamedov Sh 1977 On the Cauchy problem for the Laplace equation Dokl. Akad. Nauk 235 281-3 (in Russian)
24. Yarmukhamedov Sh 1992 Harmonic extension of continuous functions defined on a piece of the boundary Dokl. Akad. Nauk 327 37-41 (in Russian)
25. Yarmukhamedov Sh 1997 Continuing solutions to the Helmholtz equation Dokl. Math. 56 887-90