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Volumn 28, Issue 6, 1997, Pages 1389-1405

The inverse conductivity problem with one measurement: Stability and estimation of size

Author keywords

Inverse problem; Stability

Indexed keywords


EID: 0001607563     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096299375     Document Type: Article
Times cited : (117)

References (14)
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    • Alessandrini, G.1
  • 2
    • 0001638402 scopus 로고
    • Local uniqueness in the inverse problem with one measurement
    • G. ALESSANDRINI, V. ISAKOV, AND J. POWELL, Local uniqueness in the inverse problem with one measurement, Trans. Amer. Math. Soc., 347 (1995), pp. 3031-3041.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 3031-3041
    • Alessandrini, G.1    Isakov, V.2    Powell, J.3
  • 3
    • 0000453968 scopus 로고
    • The index of isolated critical points and solutions of elliptic equations in the plane
    • G. ALESSANDRINI AND R. MAGNANINI, The index of isolated critical points and solutions of elliptic equations in the plane, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 19 (1992), pp. 567-589.
    • (1992) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.19 , pp. 567-589
    • Alessandrini, G.1    Magnanini, R.2
  • 4
    • 0000942999 scopus 로고
    • Identification problem in potential theory
    • H. BELLOUT AND A. FRIEDMAN, Identification problem in potential theory, Arch. Rational Mech. Anal., 101 (1988), pp. 143-160.
    • (1988) Arch. Rational Mech. Anal. , vol.101 , pp. 143-160
    • Bellout, H.1    Friedman, A.2
  • 6
    • 84966225622 scopus 로고
    • The inverse conductivity problem with one measurement, uniqueness for convex polyhedra
    • B. BARCELO, E. FABES, AND J. K. SEO, The inverse conductivity problem with one measurement, uniqueness for convex polyhedra, Proc. Amer. Math. Soc., 122 (1994), pp. 183-189.
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 183-189
    • Barcelo, B.1    Fabes, E.2    Seo, J.K.3
  • 8
    • 0011696954 scopus 로고
    • Identification of conductivity coefficient in an elliptic equation
    • A. FRIEDMAN AND B. GUSTAFSSON, Identification of conductivity coefficient in an elliptic equation, SIAM J. Math. Anal., 18 (1987), pp. 777-787.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 777-787
    • Friedman, A.1    Gustafsson, B.2
  • 9
    • 0000020120 scopus 로고
    • On the uniqueness in the inverse conductivity problem with one measurement
    • A. FRIEDMAN AND V. ISAKOV, On the uniqueness in the inverse conductivity problem with one measurement, Indiana Univ. Math. J., 38 (1989), pp. 553-580.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 553-580
    • Friedman, A.1    Isakov, V.2
  • 11
    • 0000838061 scopus 로고
    • On the inverse conductivity problem with one measurement
    • V. ISAKOV AND J. POWELL, On the inverse conductivity problem with one measurement, Inverse Problems, 6 (1990), pp. 311-318.
    • (1990) Inverse Problems , vol.6 , pp. 311-318
    • Isakov, V.1    Powell, J.2
  • 12
    • 0000369989 scopus 로고    scopus 로고
    • Layer potential technique for the inverse conductivity problem
    • H. KANG AND J. K. SEO, Layer potential technique for the inverse conductivity problem, Inverse Problems, 12 (1996), pp. 267-278.
    • (1996) Inverse Problems , vol.12 , pp. 267-278
    • Kang, H.1    Seo, J.K.2
  • 13
    • 84951602848 scopus 로고    scopus 로고
    • A uniqueness result on inverse conductivity problem with two measurements
    • J. K. SEO, A uniqueness result on inverse conductivity problem with two measurements, J. Fourier Anal. Appl., 2 (1996), pp. 227-235.
    • (1996) J. Fourier Anal. Appl. , vol.2 , pp. 227-235
    • Seo, J.K.1
  • 14
    • 48549113823 scopus 로고
    • Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains
    • G. C. VERCHOTA, Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains, J. Funct. Anal., 59 (1984), pp. 572-611.
    • (1984) J. Funct. Anal. , vol.59 , pp. 572-611
    • Verchota, G.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.