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Volumn 22, Issue 5, 2006, Pages 1627-1658

Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; PARAMETER ESTIMATION; STABILITY; TWO DIMENSIONAL;

EID: 33748990895     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/5/007     Document Type: Article
Times cited : (44)

References (19)
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    • Alessandrini, G.1
  • 2
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    • Examples of instability in inverse-boundary value problems
    • Alessandrini G 1997 Examples of instability in inverse-boundary value problems Inverse Problems 13 887-97
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    • Alessandrini, G.1
  • 4
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    • Lipschitz stability for the inverse conductivity problem
    • Alessandrini G and Vessella S 2005 Lipschitz stability for the inverse conductivity problem Adv. Appl. Math. 35 207
    • (2005) Adv. Appl. Math. , vol.35 , Issue.2 , pp. 207
    • Alessandrini, G.1    Vessella, S.2
  • 5
    • 0032271479 scopus 로고    scopus 로고
    • Stable determination of boundaries from Cauchy data
    • Beretta E and Vessella S 1998 Stable determination of boundaries from Cauchy data SIAM J. Math. Anal. 30 220-32
    • (1998) SIAM J. Math. Anal. , vol.30 , Issue.1 , pp. 220-232
    • Beretta, E.1    Vessella, S.2
  • 6
    • 33749028518 scopus 로고
    • On an inverse problem arising in continuous casting of steel billets
    • Binder A 1995 On an inverse problem arising in continuous casting of steel billets Appl. Anal. 57 341-66
    • (1995) Appl. Anal. , vol.57 , pp. 341-366
    • Binder, A.1
  • 7
    • 0000298012 scopus 로고    scopus 로고
    • Stability and reconstruction for an inverse problem for the heat equation
    • Bryan K and Caudill L F Jr 1998 Stability and reconstruction for an inverse problem for the heat equation Inverse Problems 14 1429-53
    • (1998) Inverse Problems , vol.14 , Issue.6 , pp. 1429-1453
    • Bryan, K.1    Caudill, L.F.2
  • 9
    • 0038339458 scopus 로고    scopus 로고
    • Examples of exponential instability for inverse inclusion and scattering problems
    • Di Cristo M and Rondi L 2003 Examples of exponential instability for inverse inclusion and scattering problems Inverse Problems 19 685-701
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 685-701
    • Di Cristo, M.1    Rondi, L.2
  • 13
    • 0029368813 scopus 로고
    • Nondestructive evaluation of corrosion damage using electrostatic measurements
    • Kaup P and Santosa F 1995 Nondestructive evaluation of corrosion damage using electrostatic measurements J. Nondestr. Eval. 14 127-36
    • (1995) J. Nondestr. Eval. , vol.14 , Issue.3 , pp. 127-136
    • Kaup, P.1    Santosa, F.2
  • 14
    • 0003003643 scopus 로고    scopus 로고
    • A method for imaging corrosion damage in thin plates from electrostatic data
    • Kaup P, Santosa F and Vogelius M 1996 A method for imaging corrosion damage in thin plates from electrostatic data Inverse Problems 12 279-93
    • (1996) Inverse Problems , vol.12 , Issue.3 , pp. 279-293
    • Kaup, P.1    Santosa, F.2    Vogelius, M.3
  • 17
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    • Rondi L 1999 Uniqueness and optimal stability for the determination of multiple defects by electrostatic measurements PHD Thesis SISSA-ISAS Trieste (downloadable at http://www.sissa.it/library/)
    • (1999) PHD Thesis
    • Rondi, L.1
  • 18
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    • Regularity results for elliptic equations in Lipschitz domains
    • Savaré G 1998 Regularity results for elliptic equations in Lipschitz domains J. Funct. Anal. 152 176-201
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    • Savaré, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.