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Volumn 6, Issue 3, 2012, Pages 487-521

The green function of the interior transmission problem and its applications

Author keywords

Green function; Interior transmission problem; Pseudodifferential operators

Indexed keywords


EID: 84866442863     PISSN: 19308337     EISSN: 19308345     Source Type: Journal    
DOI: 10.3934/ipi.2012.6.487     Document Type: Article
Times cited : (9)

References (24)
  • 1
    • 78049438526 scopus 로고    scopus 로고
    • Three-dimensional acoustic scattering by com-plex obstacles. The accuracy issue
    • M. F. Ben Hassen, O. Ivanyshyn and M. Sini, Three-dimensional acoustic scattering by com-plex obstacles. The accuracy issue, Inverse Problems, 26 (2010), 29pp.
    • (2010) Inverse Problems , vol.26 , pp. 29
    • Ben Hassen, M.F.1    Ivanyshyn, O.2    Sini, M.3
  • 3
    • 0037106174 scopus 로고    scopus 로고
    • The linear sampling method for anisotropic media
    • F. Cakoni, D. Colton and H. Haddar, The linear sampling method for anisotropic media, J. Comput. Appl. Math., 146 (2002), 285-299.
    • (2002) J. Comput. Appl. Math. , vol.146 , pp. 285-299
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 4
    • 67651235537 scopus 로고    scopus 로고
    • On the existence of transmission eigenvalues in an inhomogeneous medium
    • F. Cakoni and H. Haddar, On the existence of transmission eigenvalues in an inhomogeneous medium, Appl. Anal., 88 (2009), 475-493.
    • (2009) Appl. Anal. , vol.88 , pp. 475-493
    • Cakoni, F.1    Haddar, H.2
  • 5
    • 74349098855 scopus 로고    scopus 로고
    • The identification of a partially coated dielec-tric from far field measurements
    • F. Cakoni, G. Nakamura, M. Sini and N. Zeev, The identification of a partially coated dielec-tric from far field measurements, Applicable Analysis, 89 (2010), 67-86.
    • (2010) Applicable Analysis , vol.89 , pp. 67-86
    • Cakoni, F.1    Nakamura, G.2    Sini, M.3    Zeev, N.4
  • 6
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • D. Colton and A. Kirsch, A simple method for solving inverse scattering problems in the resonance region, Inverse Problems, 12 (1996), 383-393.
    • (1996) Inverse Problems , vol.12 , pp. 383-393
    • Colton, D.1    Kirsch, A.2
  • 9
    • 79955544674 scopus 로고    scopus 로고
    • The interior transmission problem and bounds on transmission eigenvalues
    • M. Hitrik, K. Krupchyk, P. Ola and L. Paivarinta, The interior transmission problem and bounds on transmission eigenvalues, Math. Res. Lett., 18 (2011), 279-293.
    • (2011) Math. Res. Lett. , vol.18 , pp. 279-293
    • Hitrik, M.1    Krupchyk, K.2    Ola, P.3    Paivarinta, L.4
  • 12
    • 84861374501 scopus 로고    scopus 로고
    • Ellipticity in the interior transmission problem in anisotropic media
    • E. Lakshtanov and B. Vainberg, Ellipticity in the interior transmission problem in anisotropic media, SIAM J. Math. Anal., 44 (2012), 1165-1174.
    • (2012) SIAM J. Math. Anal. , vol.44 , pp. 1165-1174
    • Lakshtanov, E.1    Vainberg, B.2
  • 13
    • 34548286805 scopus 로고    scopus 로고
    • Reconstruction of the shape and surface impedance from acoustic scattering data for arbitrary cylinder
    • J. J. Liu, G. Nakamura and M. Sini, Reconstruction of the shape and surface impedance from acoustic scattering data for arbitrary cylinder, SIAM J. Appl. Math., 67 (2007), 1124-1146.
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 1124-1146
    • Liu, J.J.1    Nakamura, G.2    Sini, M.3
  • 14
    • 68149172364 scopus 로고    scopus 로고
    • On the accuracy of the numerical detection of complex obstacles from far field data using the probe method
    • J. Liu and M. Sini, On the accuracy of the numerical detection of complex obstacles from far field data using the probe method, SIAM J. Scient. Comp., 31 (2009), 2665-2687.
    • (2009) SIAM J. Scient. Comp. , vol.31 , pp. 2665-2687
    • Liu, J.1    Sini, M.2
  • 16
    • 44649152262 scopus 로고    scopus 로고
    • Obstacle and boundary determination from scattering data
    • G. Nakamura and M. Sini, Obstacle and boundary determination from scattering data, SIAM J. Math. Anal., 39 (2007), 819-837.
    • (2007) SIAM J. Math. Anal. , vol.39 , pp. 819-837
    • Nakamura, G.1    Sini, M.2
  • 18
    • 0001441799 scopus 로고
    • The resolvent of an elliptic boundary problem
    • R. Seeley, The resolvent of an elliptic boundary problem, Amer. J. of Math., 91 (1969), 889-920.
    • (1969) Amer. J. of Math. , vol.91 , pp. 889-920
    • Seeley, R.1
  • 20
    • 0004121498 scopus 로고    scopus 로고
    • Partial Differential Equations II. Qualitative Studies of Linear Equations
    • Springer-Verlag
    • M. E. Taylor, "Partial Differential Equations II. Qualitative Studies of Linear Equations," Applied Mathematical Sciences, 116, Springer-Verlag, 1996.
    • (1996) Applied Mathematical Sciences , vol.116
    • Taylor, M.E.1
  • 21
    • 74849114329 scopus 로고    scopus 로고
    • An analysis of the accuracy of the linear sampling method for an acoustic inverse obstacle scattering problem
    • M. Sini and N. T. Thanh, An analysis of the accuracy of the linear sampling method for an acoustic inverse obstacle scattering problem, Inverse Problems, 26 (2010), 29 pp.
    • (2010) Inverse Problems , vol.26 , pp. 29
    • Sini, M.1    Thanh, N.T.2
  • 22
    • 78649797467 scopus 로고    scopus 로고
    • Accuracy of the linear sampling method for inverse obstacle scat-tering: Effect of geometrical and physical parameters
    • M. Sini and N. T. Thanh, Accuracy of the linear sampling method for inverse obstacle scat-tering: effect of geometrical and physical parameters, Inverse Problems, 26 (2010), 24 pp.
    • (2010) Inverse Problems , vol.26 , pp. 24
    • Sini, M.1    Thanh, N.T.2
  • 24
    • 33947374285 scopus 로고    scopus 로고
    • Uniqueness in inverse obstacle scattering with conductive boundary conditions
    • N. Valdivia, Uniqueness in inverse obstacle scattering with conductive boundary conditions, Appl. Anal., 83 (2004), 825-851.
    • (2004) Appl. Anal. , vol.83 , pp. 825-851
    • Valdivia, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.