메뉴 건너뛰기




Volumn 30, Issue 2, 1998, Pages 326-340

Stable determination of a crack in a planar inhomogeneous conductor

Author keywords

Cracks; Elliptic equations; Inverse problems; Quasi conformal mappings

Indexed keywords


EID: 0032622871     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036141097325502     Document Type: Article
Times cited : (34)

References (17)
  • 1
    • 0001028305 scopus 로고
    • An identification problem for an elliptic equation in two variables
    • G. ALESSANDRINI, An identification problem for an elliptic equation in two variables, Ann. Mat. Pura Appl., 145 (1986), pp. 265-296.
    • (1986) Ann. Mat. Pura Appl. , vol.145 , pp. 265-296
    • Alessandrini, G.1
  • 2
    • 84971151488 scopus 로고
    • Stable determination of a crack from boundary measurements
    • G. ALESSANDRINI, Stable determination of a crack from boundary measurements, Proc. Roy. Soc. Edinburgh Sect. A, 123 (1993), pp. 497-516.
    • (1993) Proc. Roy. Soc. Edinburgh Sect. A , vol.123 , pp. 497-516
    • Alessandrini, G.1
  • 3
    • 0001790909 scopus 로고
    • Stability for the crack determination problem
    • L. Päivärinta and E. Somersalo, eds., Springer-Verlag, Berlin, Heidelberg
    • G. ALESSANDRINI, Stability for the crack determination problem, in Inverse Problems in Mathematical Physics, L. Päivärinta and E. Somersalo, eds., Springer-Verlag, Berlin, Heidelberg, 1993, pp. 1-8.
    • (1993) Inverse Problems in Mathematical Physics , pp. 1-8
    • Alessandrini, G.1
  • 4
    • 0001464670 scopus 로고    scopus 로고
    • Examples of instability in inverse boundary-value problems
    • G. ALESSANDRINI, Examples of instability in inverse boundary-value problems, Inverse Problems, 13 (1997), pp. 887-897.
    • (1997) Inverse Problems , vol.13 , pp. 887-897
    • Alessandrini, G.1
  • 5
    • 0002126460 scopus 로고    scopus 로고
    • Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability
    • G. ALESSANDRINI AND E. DI BENEDETTO, Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability, Indiana Univ. Math. J., 46 (1997), pp. 1-82.
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 1-82
    • Alessandrini, G.1    Di Benedetto, E.2
  • 6
    • 0030151922 scopus 로고    scopus 로고
    • Unique determination of multiple cracks by two measurements
    • G. ALESSANDRINI AND A. DIAZ VALENZUELA, Unique determination of multiple cracks by two measurements, SIAM J. Control Optim., 34 (1996), pp. 913-921.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 913-921
    • Alessandrini, G.1    Diaz Valenzuela, A.2
  • 7
    • 21844484583 scopus 로고
    • Elliptic equations in divergence form, geometric critical points of solutions, and Stekloff eigenfunctions
    • G. ALESSANDRINI AND R. MAGNANINI, Elliptic equations in divergence form, geometric critical points of solutions, and Stekloff eigenfunctions, SIAM J. Math. Anal., 25 (1994), pp. 1259-1268.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1259-1268
    • Alessandrini, G.1    Magnanini, R.2
  • 9
    • 0002587885 scopus 로고
    • On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications
    • Trieste, Cremonese, Roma
    • L. BERS AND L. NIRENBERG, On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications, in Convegno Internazionale sulle Equazioni Lineari alle Derivate Parziali, Trieste, Cremonese, Roma, 1955.
    • (1955) Convegno Internazionale Sulle Equazioni Lineari Alle Derivate Parziali
    • Bers, L.1    Nirenberg, L.2
  • 10
    • 0001461088 scopus 로고
    • A uniqueness result concerning the identification of a collection of cracks from finitely many boundary measurements
    • K. BRYAN AND M. VOGELIUS, A uniqueness result concerning the identification of a collection of cracks from finitely many boundary measurements, SIAM J. Math. Anal., 23 (1992), pp. 950-958.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 950-958
    • Bryan, K.1    Vogelius, M.2
  • 12
    • 0000335616 scopus 로고
    • Determining cracks by boundary measurements
    • A. FRIEDMAN AND M. VOGELIUS, Determining cracks by boundary measurements, Indiana Univ. Math. J., 38 (1989), pp. 527-556.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 527-556
    • Friedman, A.1    Vogelius, M.2
  • 14
    • 0345985724 scopus 로고    scopus 로고
    • Unique determination of a finite number of collection of cracks from two boundary measurements
    • H. KIM AND J. K. SEO, Unique determination of a finite number of collection of cracks from two boundary measurements, SIAM J. Math. Anal., 27 (1996), pp. 1336-1340.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1336-1340
    • Kim, H.1    Seo, J.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.