메뉴 건너뛰기




Volumn 27, Issue 6, 2011, Pages

The framework of the enclosure method with dynamical data and its applications

Author keywords

[No Author keywords available]

Indexed keywords

CONDUCTIVE BODIES; CONVEX HULL; DISCONTINUOUS COEFFICIENTS; ENCLOSURE METHOD; EXPONENTIAL SOLUTIONS; GOVERNING EQUATIONS; INHOMOGENEOUS BODY; INITIAL-BOUNDARY VALUE PROBLEMS; NEW RESULTS; PARABOLIC EQUATIONS;

EID: 79957967646     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/27/6/065005     Document Type: Article
Times cited : (24)

References (21)
  • 1
    • 34548272515 scopus 로고    scopus 로고
    • A probe method for the inverse boundary value problem of non-stationary heat equations
    • DOI 10.1088/0266-5611/23/5/002, PII S0266561107409686, 002
    • Daido Y, Kang H and Nakamura G 2007 A probe method for the inverse boundary value problem of non-stationary heat equations Inverse Problems 23 1787-800 (Pubitemid 47315657)
    • (2007) Inverse Problems , vol.23 , Issue.5 , pp. 1787-1800
    • Daido, Y.1    Kang, H.2    Nakamura, G.3
  • 2
    • 64849086500 scopus 로고    scopus 로고
    • Numerical implementations of dynamical probe method for non-stationary heat equation
    • Daido Y, Lei Y, Liu J J and Nakamura G 2009 Numerical implementations of dynamical probe method for non-stationary heat equation Appl. Math. Comput. 211 510-21
    • (2009) Appl. Math. Comput. , vol.211 , Issue.2 , pp. 510-521
    • Daido, Y.1    Lei, Y.2    Liu, J.J.3    Nakamura, G.4
  • 3
    • 0003286887 scopus 로고
    • Mathematical analysis and numerical methods for sciences and technology
    • (Berlin: Springer)
    • Dautray R and Lions J-L 1992 Mathematical analysis and numerical methods for sciences and technology Evolution Problems I vol 5 (Berlin: Springer)
    • (1992) Evolution Problems i , vol.5
    • Dautray, R.1    Lions, J.-L.2
  • 4
    • 0031538944 scopus 로고    scopus 로고
    • On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation
    • Elayyan A and Isakov V 1997 On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation SIAM J. Math. Anal. 28 49-59
    • (1997) SIAM J. Math. Anal. , vol.28 , Issue.1 , pp. 49-59
    • Elayyan, A.1    Isakov, V.2
  • 6
    • 44949286289 scopus 로고
    • A special Green's function for the biharmonic operator and its application to an inverse boundary value problem
    • Ikehata M 1991 A special Green's function for the biharmonic operator and its application to an inverse boundary value problem Comput. Math. Appl. 22 53-66
    • (1991) Comput. Math. Appl. , vol.22 , Issue.4-5 , pp. 53-66
    • Ikehata, M.1
  • 7
    • 52849093188 scopus 로고    scopus 로고
    • Size estimation of inclusion
    • Ikehata M 1998 Size estimation of inclusion J. Inverse Ill-Posed Probl. 6 127-40
    • (1998) J. Inverse Ill-Posed Probl. , vol.6 , Issue.2 , pp. 127-140
    • Ikehata, M.1
  • 8
    • 0001029370 scopus 로고    scopus 로고
    • Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
    • PII S026656119904349X
    • Ikehata M 1999 Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data Inverse Problems 15 1231-41 (Pubitemid 129618014)
    • (1999) Inverse Problems , vol.15 , Issue.5 , pp. 1231-1241
    • Ikehata, M.1
  • 9
    • 0034453432 scopus 로고    scopus 로고
    • Reconstruction of the support function for inclusion from boundary measurements
    • Ikehata M 2000 Reconstruction of the support function for inclusion from boundary measurements J. Inverse Ill-Posed Probl. 8 367-78 (Pubitemid 32276087)
    • (2000) Journal of Inverse and Ill-Posed Problems , vol.8 , Issue.4 , pp. 367-378
    • Ikehata, M.1
  • 10
    • 64849102626 scopus 로고    scopus 로고
    • Extracting discontinuity in a heat conductive body: One-space-dimensional case
    • Ikehata M 2007 Extracting discontinuity in a heat conductive body: one-space-dimensional case Appl. Anal. 86 963-1005
    • (2007) Appl. Anal. , vol.86 , Issue.8 , pp. 963-1005
    • Ikehata, M.1
  • 11
    • 33947661404 scopus 로고    scopus 로고
    • An inverse source problem for the heat equation and the enclosure method
    • DOI 10.1088/0266-5611/23/1/009, PII S0266561107301858, 009
    • Ikehata M 2007 An inverse source problem for the heat equation and the enclosure method Inverse Problems 23 183-202 (Pubitemid 46485849)
    • (2007) Inverse Problems , vol.23 , Issue.1 , pp. 183-202
    • Ikehata, M.1
  • 12
    • 70350291361 scopus 로고    scopus 로고
    • Two analytical formulae of the temperature inside a body by using partial lateral and initial data
    • Ikehata M 2009 Two analytical formulae of the temperature inside a body by using partial lateral and initial data Inverse Problems 25 035011
    • (2009) Inverse Problems , vol.25 , Issue.3 , pp. 035011
    • Ikehata, M.1
  • 13
    • 70350649022 scopus 로고    scopus 로고
    • The enclosure method for the heat equation
    • Ikehata M and Kawashita M 2009 The enclosure method for the heat equation Inverse Problems 25 075005
    • (2009) Inverse Problems , vol.25 , Issue.7 , pp. 075005
    • Ikehata, M.1    Kawashita, M.2
  • 14
    • 78049325563 scopus 로고    scopus 로고
    • On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
    • Ikehata M and Kawashita M 2010 On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval Inverse Problems 26 095004
    • (2010) Inverse Problems , vol.26 , Issue.9 , pp. 095004
    • Ikehata, M.1    Kawashita, M.2
  • 16
    • 0001607563 scopus 로고    scopus 로고
    • The inverse conductivity problem with one measurement: Stability and estimation of size
    • PII S0036141096299375
    • Kang H, Seo J K and Sheen D 1997 The inverse conductivity problem with one measurement: stability and estimation of size SIAM J. Math. Anal. 28 1389-405 (Pubitemid 127449650)
    • (1997) SIAM Journal on Mathematical Analysis , vol.28 , Issue.6 , pp. 1389-1405
    • Kang, H.1    Seo, J.K.2    Sheen, D.3
  • 17
    • 0000426306 scopus 로고
    • Reconstructions from boundary measurements
    • Nachman A 1988 Reconstructions from boundary measurements Ann. Math. 128 531-76
    • (1988) Ann. Math. , vol.128 , Issue.3 , pp. 531-576
    • Nachman, A.1
  • 18
    • 34249973239 scopus 로고
    • Multidimensional inverse spectral problem for the equation -△Ψ + (v(x) - Eu(x))Ψ = 0
    • Novikov R 1989 Multidimensional inverse spectral problem for the equation -△Ψ + (v(x) - Eu(x))Ψ = 0 Transl. Funct. Anal. Appl. 22 263-72
    • (1989) Transl. Funct. Anal. Appl. , vol.22 , Issue.4 , pp. 263-272
    • Novikov, R.1
  • 19
    • 84990586454 scopus 로고
    • An anisotropic inverse boundary value problem
    • Sylvester J 1990 An anisotropic inverse boundary value problem Commun. Pure Appl. Math. 38 201-32
    • (1990) Commun. Pure Appl. Math. , vol.43 , Issue.2 , pp. 201-232
    • Sylvester, J.1
  • 20
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69
    • (1987) Ann. Math. , vol.125 , Issue.1 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.