Identification of domains with near-extreme conductivity: Global stability and error estimates

Inverse Problems

Volumn 15, Issue 4, 1999, Pages 851-867

  Kang, Hyeonbae ^a   Seo, Jin Keun ^b  

^a Seoul National University   (South Korea)

^b Yonsei University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011967070     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/15/4/302     Document Type: Article

References (22)

1. Alessandrini G 1989 Remark on a paper of Bellout and Friedman Boll Mat. Ital. A 7 23
2. Alessandrini G and Rosset E 1999 The inverse conductivity problem with one measurement: bounds on the size of the unknown object SIAM J. Math. Anal. in press
3. Alessandrini G, Rosset E and Seo J K 1999 Optimal size estimates for the inverse conductivity problem with one measurement Proc. Am. Math. Soc. in press
4. Alessandrini G, Isakov V and Powell J 1995 Local uniqueness in the inverse problem with one measurement Trans. Am. Math. Soc. 347 3031-41
5. Bellout H and Friedman A 1988 Identification problems in potential theory Arch. Ration. Mech. Anal. 101 143-60
6. Bellout H, Friedman A and Isakov V 1992 Inverse problem in potential theory Trans. Am. Math. Soc. 332 271-96
7. Barcelo B, Fabes E and Seo J K 1994 The inverse conductivity problem with one measurement: uniqueness for convex polyhedra Proc. Am. Math. Soc. 122 183-9
8. Cedio-Fengya D J, Moskow S and Vogelius M S 1998 Identification of conductivity imperfections of small parameter by boundary measurements. Continuous dependence and computational reconstruction Inverse Problems 14 553-95
9. Escauriaza L, Fabes E B and Verchota G 1992 On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries Proc. Am. Math. Soc. 115 1069-76
10. 1 domains Acta Math. 141 165-86
11. Fabes E, Kang H and Seo J K 1999 Inverse conductivity problem: error estimates and approximate identification for perturbed disks SIAM J. Math. Anal in press
12. Folland G B 1976 Introduction to Partial Differential Equations (Princeton, NJ: Princeton University Press)
13. Friedman A and Vogelius M 1989 Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence Arch. Ration. Mech. Anal. 105 299-326
14. Friedman A and Isakov V 1989 On the uniqueness in the inverse conductivity problem with one measurement Indiana Univ. Math. J. 38 553-80
15. p, weights and unique continuation Indiana Univ. Math. J. 35 245-68
16. Isakov V and Powell J 1990 On the inverse conductivity problem with one measurement Inverse Problems 6 311-8
17. Kang H and Seo J K 1996 Layer potential technique for the inverse conductivity problem Inverse Problems 12 267-78
18. Kang H and Seo J K 1997 On stability of a transmission problem J. Korean Math. Soc. 34 695-706
19. 3 SIAM J. Appl. Math, in press
20. Kang H, Seo J K and Sheen D 1997 The inverse conductivity problem with one measurement: stability and estimation of size SIAM J. Math. Anal. 28 1389-405
21. Seo J K 1996 A uniqueness result on inverse conductivity problem with two measurements J. Fuorier Anal. Appl. 2 227-35
22. Verchota G C 1984 Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains J. Funct. Anal. 59 572-611