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Volumn 4, Issue 1, 2010, Pages 39-48

New results on transmission eigenvalues

Author keywords

Inhomogeneous medium; Interior transmission problem; Inverse scattering problem; Transmission eigenvalues

Indexed keywords


EID: 77349105539     PISSN: 19308337     EISSN: 19308345     Source Type: Journal    
DOI: 10.3934/ipi.2010.4.39     Document Type: Article
Times cited : (25)

References (15)
  • 1
    • 62649116875 scopus 로고    scopus 로고
    • Transmission eigenvalues and the nondestructive testing of dielectrics
    • 066016
    • F. Cakoni, M. Cayoren and D. Colton, Transmission eigenvalues and the nondestructive testing of dielectrics, Inverse Problems, 24 (2008), 066016, 15 pp.
    • (2008) Inverse Problems , vol.24 , pp. 15
    • Cakoni, F.1    Cayoren, M.2    Colton, D.3
  • 2
    • 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
    • 77349086293 scopus 로고    scopus 로고
    • The interior transmission problem for region with cavities
    • to appear
    • F. Cakoni, D. Colton and H. Haddar, The interior transmission problem for region with cavities, SIAM J. Math. Anal., to appear.
    • Siam J. Math. Anal.
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 5
    • 33947388035 scopus 로고    scopus 로고
    • On the use of transmission eigenvalues to estimate the index of refraction from far field data
    • F. Cakoni, D. Colton and P. Monk, On the use of transmission eigenvalues to estimate the index of refraction from far field data, Inverse Problems, 23 (2007), 507-522.
    • (2007) Inverse Problems , vol.23 , pp. 507-522
    • Cakoni, F.1    Colton, D.2    Monk, P.3
  • 6
    • 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, Applicable Analysis, 88 (2009), 475-493.
    • (2009) Applicable Analysis , vol.88 , pp. 475-493
    • Cakoni, F.1    Haddar, H.2
  • 7
    • 0012355575 scopus 로고
    • Far eld patterns for acoustic waves in an inhomogeneous medium, SIAM
    • D. Colton, A. Kirsch and L. Päivärinta, Far eld patterns for acoustic waves in an inhomogeneous medium, SIAM J. Math. Anal., 20 (1989), 1472-1483.
    • (1989) J. Math. Anal. , vol.20 , pp. 1472-1483
    • Colton, D.1    Kirsch, A.2    Päivärinta, L.3
  • 10
    • 33947355754 scopus 로고    scopus 로고
    • An integral equation approach and the interior transmission problem for Maxwell's equations
    • A. Kirsch, An integral equation approach and the interior transmission problem for Maxwell's equations, Inverse Problems and Imaging, 1 (2007), 159-179.
    • (2007) Inverse Problems and Imaging , vol.1 , pp. 159-179
    • Kirsch, A.1
  • 11
    • 67651210758 scopus 로고    scopus 로고
    • On the existence of transmission eigenvalues
    • A. Kirsch, On the existence of transmission eigenvalues, Inverse Problems and Imaging, 3 (2009),155-172.
    • (2009) Inverse Problems and Imaging , vol.3 , pp. 155-172
    • Kirsch, A.1
  • 13
    • 38149147713 scopus 로고
    • On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
    • J. R. McLaughlin and P. L. Polyakov, On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues, J. Differential Equations, 107 (1994), 351-382.
    • (1994) J. Differential Equations , vol.107 , pp. 351-382
    • McLaughlin, J.R.1    Polyakov, P.L.2
  • 15
    • 0000423623 scopus 로고
    • The interior transmission problem and inverse scattering from inhomogeneous media
    • B. P. Rynne and B. D. Sleeman, The interior transmission problem and inverse scattering from inhomogeneous media, SIAM J. Math. Anal., 22 (1991), 1755-1762.
    • (1991) Siam J. Math. Anal. , vol.22 , pp. 1755-1762
    • Rynne, B.P.1    Sleeman, B.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.