Optimal stability estimates for the determination of defects by electrostatic measurements

Inverse Problems

Volumn 15, Issue 5, 1999, Pages 1193-1212

  Rondi, Luca ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000772714     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/15/5/306     Document Type: Article

References (13)

1. Alessandrini G 1993 Stable determination of a crack from boundary measurements Proc. R. Soc. Edin. A 123 497-516
2. Alessandrini G 1993 Stability for the crack determination problem Inverse Problems in Mathematical Physics ed L Päivärinta and E Somersalo (Berlin: Springer) pp 1-8
3. Alessandrini G 1997 Examples of instability in inverse boundary-value problems Inverse Problems 13 887-97
4. Alessandrini G, Beretta E and Vessella S 1996 Determining linear cracks by boundary measurements-Lipschitz stability SIAM J. Math. Anal. 27 361-75
5. Alessandrini G and Diaz Valenzuela A 1996 Unique determination of multiple cracks by two measurements SIAM J. Control Optim. 34 913-21
6. Alessandrini G and Rondi L 1998 Stable determination of a crack in a planar inhomogeneous conductor SIAM J. Math. Anal. 30 326-40
7. Beretta E and Vessella S 1998 Stable determination of boundaries from Cauchy data SIAM J. Math. Anal. 30 220-32
8. Bukhgeim A L, Cheng J and Yamamoto M 1998 Uniqueness and stability for an inverse problem of determining a part of boundary Inverse Problems in Engineering Mechanics ed M Tanaka and G S Dulikravich (Amsterdam: Elsevier Science) pp 327-36
9. Bukhgeim A L, Cheng J and Yamamoto M 1998 On a sharp estimate in a non-destructive testing: determination of unknown boundaries Preprint
10. Friedman A and Vogelius M 1989 Determining cracks by boundary measurements Indiana Univ. Math. J. 38 527-56
11. Heinonen J, Kilpeläinen T and Martio O 1993 Nonlinear Potential Theory of Degenerate Elliptic Equations (Oxford: Clarendon)
12. Rondi L 1996 Stabilità per il problema inverso dei crack in un corpo non omogeneo Thesis Università degli Studi di Trieste
13. Rondi L 1999 Uniqueness and stability for the determination of boundary defects by electrostatic measurements Proc. R. Soc. Edin. A to appear