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Volumn 73, Issue 1-3, 2003, Pages 101-126

Detecting rigid inclusions, or cavities, in an elastic body

Author keywords

Inverse problems; Linearized elasticity; Size estimates

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ESTIMATION; INTEGRAL EQUATIONS; INVERSE PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 3543099141     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ELAS.0000029955.79981.1d     Document Type: Article
Times cited : (37)

References (21)
  • 1
    • 84980080664 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II
    • S. Agmon, A. Douglis and N. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Comm. Pure Appl. Math. XVII (1964) 35-92.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 35-92
    • Agmon, S.1    Douglis, A.2    Nirenberg, N.3
  • 2
    • 0001632651 scopus 로고    scopus 로고
    • Strong unique continuation for the Lamé system of elasticity
    • G. Alessandrini and A. Morassi, Strong unique continuation for the Lamé system of elasticity. Comm. Partial Differentia! Equations 26 (2001) 1787-1810.
    • (2001) Comm. Partial Differentia! Equations , vol.26 , pp. 1787-1810
    • Alessandrini, G.1    Morassi, A.2
  • 3
    • 0036436486 scopus 로고    scopus 로고
    • Detecting an inclusion in an elastic body by boundary measurements
    • G. Alessandrini, A. Morassi and E. Rosset, Detecting an inclusion in an elastic body by boundary measurements. SIAM J. Math. Anal. 33(6) (2002) 1247-1268.
    • (2002) SIAM J. Math. Anal. , vol.33 , Issue.6 , pp. 1247-1268
    • Alessandrini, G.1    Morassi, A.2    Rosset, E.3
  • 4
    • 0036798099 scopus 로고    scopus 로고
    • Detecting cavities by electrostatic boundary measurements
    • G. Alessandrini, A. Morassi and E. Rosset, Detecting cavities by electrostatic boundary measurements. Inverse Problems 18 (2002) 1333-1353.
    • (2002) Inverse Problems , vol.18 , pp. 1333-1353
    • Alessandrini, G.1    Morassi, A.2    Rosset, E.3
  • 5
    • 0035506004 scopus 로고    scopus 로고
    • Optimal stability for the inverse problem of multiple cavities
    • G. Alessandrini and L. Rondi, Optimal stability for the inverse problem of multiple cavities. J. Differential Equations 176 (2001) 356-386.
    • (2001) J. Differential Equations , vol.176 , pp. 356-386
    • Alessandrini, G.1    Rondi, L.2
  • 6
    • 0032139281 scopus 로고    scopus 로고
    • The inverse conductivity problem with one measurement: Bounds on the size of the unknown object
    • G. Aiessandrini and E. Rosset, The inverse conductivity problem with one measurement: bounds on the size of the unknown object. SIAM J. Appl. Math. 58(4) (1998) 1060-1071.
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.4 , pp. 1060-1071
    • Aiessandrini, G.1    Rosset, E.2
  • 7
    • 22844456697 scopus 로고    scopus 로고
    • Optimal size estimates for the inverse conductivity problem with one measurement
    • G. Alessandrini, E. Rosset and J.K. Seo, Optimal size estimates for the inverse conductivity problem with one measurement. Proc. Amer. Math. Soc. 128 (2000) 53-64.
    • (2000) Proc. Amer. Math. Soc. , vol.128 , pp. 53-64
    • Alessandrini, G.1    Rosset, E.2    Seo, J.K.3
  • 8
    • 0033294043 scopus 로고    scopus 로고
    • Identification of cavities inside two-dimensional heterogeneous isotropie elastic bodies
    • D.D. Ang, D.D. Trong and M. Yamamoto, Identification of cavities inside two-dimensional heterogeneous Isotropie elastic bodies. J. Elasticity 56 (1999) 199-212.
    • (1999) J. Elasticity , vol.56 , pp. 199-212
    • Ang, D.D.1    Trong, D.D.2    Yamamoto, M.3
  • 9
    • 84972551990 scopus 로고
    • Boundary value problems for the systems of elastostatics in Lipschitz domains
    • B.E.J. Dahlberg, C.E. Kenig and G.C. Verchota, Boundary value problems for the systems of elastostatics in Lipschitz domains. Duke Math. J. 57 (1988) 795-818.
    • (1988) Duke Math. J. , vol.57 , pp. 795-818
    • Dahlberg, B.E.J.1    Kenig, C.E.2    Verchota, G.C.3
  • 10
    • 0000606420 scopus 로고
    • On the boundary value problems of the theory of elasticity and Korn's inequality
    • K.O. Friedrichs, On the boundary value problems of the theory of elasticity and Korn's inequality. Ann. Math. 48 (1947) 441-471.
    • (1947) Ann. Math. , vol.48 , pp. 441-471
    • Friedrichs, K.O.1
  • 12
    • 0036011694 scopus 로고    scopus 로고
    • A conditional stability estimate for determining a cavity in an elastic material
    • N. Higashimori, A conditional stability estimate for determining a cavity in an elastic material. Proc. Japan Acad. Ser. A 78 (2002) 15-17.
    • (2002) Proc. Japan Acad. Ser. A , vol.78 , pp. 15-17
    • Higashimori, N.1
  • 14
    • 0001607563 scopus 로고    scopus 로고
    • The inverse conductivity problem with one measurement: Stability and estimation of size
    • H. Kang, J.K. Seo and D. Sheen, The inverse conductivity problem with one measurement: stability and estimation of size. SIAM J. Math. Anal. 128 (1997) 1389-1405.
    • (1997) SIAM J. Math. Anal. , vol.128 , pp. 1389-1405
    • Kang, H.1    Seo, J.K.2    Sheen, D.3
  • 15
    • 3543106433 scopus 로고
    • On the dependence of the constant in Korn's inequality on parameters characterizing the geometry of the region
    • V.A. Kondrat'ev and O.A. Oleinik, On the dependence of the constant in Korn's inequality on parameters characterizing the geometry of the region. Russian Math. Surveys 44 (1989) 187-195.
    • (1989) Russian Math. Surveys , vol.44 , pp. 187-195
    • Kondrat'ev, V.A.1    Oleinik, O.A.2
  • 18
    • 84972535391 scopus 로고
    • New bounds for solutions of second order elliptic partial differential equations
    • L.E. Payne and H.F. Weinberger, New bounds for solutions of second order elliptic partial differential equations. Pacific J. Math. 8 (1958) 551-573.
    • (1958) Pacific J. Math. , vol.8 , pp. 551-573
    • Payne, L.E.1    Weinberger, H.F.2
  • 19
    • 0000494186 scopus 로고
    • Darstellung der eigenwerte Δu+λu = 0 durch ein Randintegral
    • F. Rellich, Darstellung der eigenwerte Δu+λu = 0 durch ein Randintegral. Math. Z. 46 (1940) 635-646.
    • (1940) Math. Z. , vol.46 , pp. 635-646
    • Rellich, F.1
  • 21
    • 0001224611 scopus 로고
    • Außenraumaufgaben in der Theorie stationärer Schwingungen inhomogener elasticher Körper
    • N. Weck, Außenraumaufgaben in der Theorie stationärer Schwingungen inhomogener elasticher Körper. Math. Z. 111 (1969) 387-398.
    • (1969) Math. Z. , vol.111 , pp. 387-398
    • Weck, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.