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Volumn 13, Issue 4, 1997, Pages 887-897

Examples of instability in inverse boundary-value problems

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EID: 0001464670     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/4/001     Document Type: Article
Times cited : (67)

References (19)
  • 1
    • 0001028305 scopus 로고
    • An identification problem for an elliptic equation in two variables
    • Alessandrini G 1986 An identification problem for an elliptic equation in two variables Ann. Mat. Pura Appl. 4 265-96
    • (1986) Ann. Mat. Pura Appl. , vol.4 , pp. 265-296
    • Alessandrini, G.1
  • 2
    • 0000738504 scopus 로고
    • Critical points of solutions of elliptic equations in two variables
    • Alessandrini G 1987 Critical points of solutions of elliptic equations in two variables Ann. Scuola Norm. Sup. Pisa Cl. Sci. XIV 229-56
    • (1987) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.14 , pp. 229-256
    • Alessandrini, G.1
  • 3
    • 84971151488 scopus 로고
    • Stable determination of a crack from boundary measurements
    • Alessandrini G 1993 Stable determination of a crack from boundary measurements Proc. R. Soc. Edinburgh A 127 497-516
    • (1993) Proc. R. Soc. Edinburgh A , vol.127 , pp. 497-516
    • Alessandrini, G.1
  • 4
    • 0001790909 scopus 로고
    • Stability for the crack determination problem
    • ed L Päivärinta and E Somersalo (Berlin: Springer)
    • 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
    • (1993) Inverse Problems in Mathematical Physics , pp. 1-8
    • Alessandrini, G.1
  • 5
    • 0002040402 scopus 로고
    • Stability in crack determination from electrostatic measurements at the boundary - A numerical investigation
    • Alessandrini G, Beretta E, Santosa F and Vessella S 1995 Stability in crack determination from electrostatic measurements at the boundary - a numerical investigation Inverse Problems 11 L17-24
    • (1995) Inverse Problems , vol.11
    • Alessandrini, G.1    Beretta, E.2    Santosa, F.3    Vessella, S.4
  • 6
    • 0030151922 scopus 로고    scopus 로고
    • Unique determination of multiple cracks by two measurements
    • Alessandrini G and Diaz Valenzuela A 1996 Unique determination of multiple cracks by two measurements SIAM J. Control Optim. 34 913-21
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 913-921
    • Alessandrini, G.1    Diaz Valenzuela, A.2
  • 7
    • 0001638402 scopus 로고
    • Local uniqueness in the inverse conductivity problem with one measurement
    • Alessandrini G, Isakov V and Powell J 1995 Local uniqueness in the inverse conductivity problem with one measurement Trans. Am. Math. Soc. 347 8 3031-41
    • (1995) Trans. Am. Math. Soc. , vol.347 , Issue.8 , pp. 3031-3041
    • Alessandrini, G.1    Isakov, V.2    Powell, J.3
  • 8
    • 0000453968 scopus 로고
    • The index of isolated critical points and solutions of elliptic equations in the plane
    • Alessandrini G and Magnanini R 1992 The index of isolated critical points and solutions of elliptic equations in the plane Ann. Scuola Norm. Sup. Pisa Cl. Sci. XIX 567-89
    • (1992) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.19 , pp. 567-589
    • Alessandrini, G.1    Magnanini, R.2
  • 9
    • 21844484583 scopus 로고
    • Elliptic equations in divergence form, geometric critical points of solutions and Stekloff eigenfunctions
    • Alessandrini G and Magnanini R 1994 Elliptic equations in divergence form, geometric critical points of solutions and Stekloff eigenfunctions SIAM J. Math. Anal. 25 1259-68
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1259-1268
    • Alessandrini, G.1    Magnanini, R.2
  • 10
    • 0007514683 scopus 로고
    • Identifiabilité de frontière inaccessible par des mesures de surface
    • Andrieux S, Ben Abda A and Jaoua M 1993 Identifiabilité de frontière inaccessible par des mesures de surface C. R. Acad. Sci. Paris 316 429-34
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 429-434
    • Andrieux, S.1    Ben Abda, A.2    Jaoua, M.3
  • 11
    • 0001965230 scopus 로고    scopus 로고
    • The boundary inverse problem for the Laplace equation in two dimensions
    • Aparicio N D and Pidcock M 1996 The boundary inverse problem for the Laplace equation in two dimensions Inverse Problems 12 565-77
    • (1996) Inverse Problems , vol.12 , pp. 565-577
    • Aparicio, N.D.1    Pidcock, M.2
  • 12
    • 0000335616 scopus 로고
    • Determining cracks by boundary measurements
    • Friedman A and Vogelius M 1989 Determining cracks by boundary measurements Indiana Math. J. 38 527-56
    • (1989) Indiana Math. J. , vol.38 , pp. 527-556
    • Friedman, A.1    Vogelius, M.2
  • 13
    • 0002500486 scopus 로고
    • Sur les problèmes aux dérivées partielles et leur signification physique
    • Hadamard J 1902 Sur les problèmes aux dérivées partielles et leur signification physique Bull. Univ. Princeton 13
    • (1902) Bull. Univ. Princeton , pp. 13
    • Hadamard, J.1
  • 14
    • 0040817437 scopus 로고
    • Uniqueness and stability in multidimensional inverse problems
    • Isakov V 1993 Uniqueness and stability in multidimensional inverse problems Inverse Problems 9 579-621
    • (1993) Inverse Problems , vol.9 , pp. 579-621
    • Isakov, V.1
  • 15
    • 0029368813 scopus 로고
    • Nondestructive evaluation of corrosion damage using electrostatic boundary measurements
    • Kaup P and Santosa F 1995 Nondestructive evaluation of corrosion damage using electrostatic boundary measurements J. Nondestruct. Eval. 14 127-36
    • (1995) J. Nondestruct. Eval. , vol.14 , pp. 127-136
    • Kaup, P.1    Santosa, F.2
  • 16
    • 0003003643 scopus 로고    scopus 로고
    • Method for imaging corrosion damage in thin plates from electrostatic measurements
    • Kaup P, Santosa F and Vogelius M 1996 Method for imaging corrosion damage in thin plates from electrostatic measurements Inverse Problems 12 279-93
    • (1996) Inverse Problems , vol.12 , pp. 279-293
    • Kaup, P.1    Santosa, F.2    Vogelius, M.3
  • 17
    • 0026389986 scopus 로고
    • An inverse problem in electromagnetic crack detection
    • McIver M 1991 An inverse problem in electromagnetic crack detection IMA J. Appl. Math. 47 127-45
    • (1991) IMA J. Appl. Math. , vol.47 , pp. 127-145
    • McIver, M.1
  • 19
    • 84951602848 scopus 로고    scopus 로고
    • A uniqueness result on inverse conductivity problem with two measurements
    • Seo J K 1996 A uniqueness result on inverse conductivity problem with two measurements J. Fourier Anal. Appl 2 227-35
    • (1996) J. Fourier Anal. Appl , vol.2 , pp. 227-235
    • Seo, J.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.