메뉴 건너뛰기




Volumn 21, Issue 4, 2005, Pages 1195-1205

Local uniqueness for the inverse scattering problem in acoustics via the Faber-Krahn inequality

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; DISKS (MACHINE COMPONENTS); EIGENVALUES AND EIGENFUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

EID: 23244434925     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/4/001     Document Type: Article
Times cited : (44)

References (22)
  • 1
    • 20144365384 scopus 로고    scopus 로고
    • Determining a sound-soft polyhedral scatterer by a single far-field measurement
    • Alessandrini G and Rondi L 2005 Determining a sound-soft polyhedral scatterer by a single far-field measurement Proc. Am. Math. Soc. 133 1685-91
    • (2005) Proc. Am. Math. Soc. , vol.133 , Issue.6 , pp. 1685-1691
    • Alessandrini, G.1    Rondi, L.2
  • 2
    • 38249022599 scopus 로고
    • A constructive method for identification of an impenetrable scatterer
    • Angell T S, Kleinmann R E, Kok B and Roach G F 1989 A constructive method for identification of an impenetrable scatterer Wave Motion 11 185-200
    • (1989) Wave Motion , vol.11 , Issue.2 , pp. 185-200
    • Angell, T.S.1    Kleinmann, R.E.2    Kok, B.3    Roach, G.F.4
  • 3
    • 0009617085 scopus 로고
    • An inverse transmission problem for the Helmholtz equation
    • Angell T S, Kleinmann R E and Roach G F 1987 An inverse transmission problem for the Helmholtz equation Inverse Problems 3 149-80
    • (1987) Inverse Problems , vol.3 , Issue.2 , pp. 149-180
    • Angell, T.S.1    Kleinmann, R.E.2    Roach, G.F.3
  • 4
    • 0346946893 scopus 로고    scopus 로고
    • Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves
    • Cheng1 J and Yamamoto M 2003 Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves Inverse Problems 19 1361-84
    • (2003) Inverse Problems , vol.19 , Issue.6 , pp. 1361-1384
    • Chengl, J.1    Yamamoto, M.2
  • 7
    • 0011052120 scopus 로고
    • Uniqueness theorems for the inverse problem of acoustic scattering
    • Colton D and Sleeman B D 1983 Uniqueness theorems for the inverse problem of acoustic scattering IMA J. Appl. Math. 31 253-9
    • (1983) IMA J. Appl. Math. , vol.31 , Issue.3 , pp. 253-259
    • Colton, D.1    Sleeman, B.D.2
  • 8
    • 0038339458 scopus 로고    scopus 로고
    • Examples of exponential instability for inverse inclusion and scattering problems
    • de Cristo M and Rondi L 2003 Examples of exponential instability for inverse inclusion and scattering problems Inverse Problems 19 685-701
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 685-701
    • De Cristo, M.1    Rondi, L.2
  • 9
    • 0001534201 scopus 로고
    • On uniqueness in the inverse transmission scattering problem
    • Isakov V 1990 On uniqueness in the inverse transmission scattering problem Commun. Part. Differ. Eqns 15 1565-87
    • (1990) Commun. Part. Differ. Eqns , vol.15 , pp. 1565-1587
    • Isakov, V.1
  • 10
    • 0040817437 scopus 로고
    • Uniqueness and stability in multi-dimensional inverse problems
    • Isakov V 1993 Uniqueness and stability in multi-dimensional inverse problems Inverse Problems 9 579-621
    • (1993) Inverse Problems , vol.9 , Issue.6 , pp. 579-621
    • Isakov, V.1
  • 11
    • 0000532530 scopus 로고
    • Uniqueness in inverse obstacle scattering
    • Kirsch A and Kress R 1993 Uniqueness in inverse obstacle scattering Inverse Problems 9 285-99
    • (1993) Inverse Problems , vol.9 , Issue.2 , pp. 285-299
    • Kirsch, A.1    Kress, R.2
  • 12
    • 0346316880 scopus 로고    scopus 로고
    • Newton's method for inverse obstacle scattering meets the method of least squares
    • Kress R 2003 Newton's method for inverse obstacle scattering meets the method of least squares Inverse Problems 19 S91-S104
    • (2003) Inverse Problems , vol.19 , Issue.6
    • Kress, R.1
  • 13
    • 0041577505 scopus 로고    scopus 로고
    • Lipschitz stability estimates for translations and balls in inverse scattering
    • Kwon O and Seo J K 2000 Lipschitz stability estimates for translations and balls in inverse scattering Inverse Problems 14 293-301
    • (2000) Inverse Problems , vol.14 , pp. 293-301
    • Kwon, O.1    Seo, J.K.2
  • 16
    • 0346616656 scopus 로고
    • A uniqueness theorem for balls
    • Liu C 1995 A uniqueness theorem for balls Inverse Problems in Wave Propagation (Minneapolis, MN) (New York: Springer) pp 347-55
    • (1995) Inverse Problems in Wave Propagation , pp. 347-355
    • Liu, C.1
  • 17
    • 0038255962 scopus 로고    scopus 로고
    • The no response test-a sampling method for inverse scattering problem
    • Luke D R and Potthast R The no response test-a sampling method for inverse scattering problem SIAM J. Appl. Math. 63 1292-312
    • SIAM J. Appl. Math. , vol.63 , pp. 1292-1312
    • Luke, D.R.1    Potthast, R.2
  • 21
    • 0037663757 scopus 로고    scopus 로고
    • A 'range test' for determining scatterers with unknown physical properties
    • Potthast R, Sylvester J and Kusiak S 2003 A 'range test' for determining scatterers with unknown physical properties Inverse Problems 19 533-47
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 533-547
    • Potthast, R.1    Sylvester, J.2    Kusiak, S.3
  • 22
    • 2142771667 scopus 로고    scopus 로고
    • Local uniqueness for a fixed energy angle inverse problem in obstacle scattering
    • Stephanov P and Uhlmann G 2004 Local uniqueness for a fixed energy angle inverse problem in obstacle scattering Proc. Am. Math. Soc. 132 1352-4
    • (2004) Proc. Am. Math. Soc. , vol.132 , pp. 1352-1354
    • Stephanov, P.1    Uhlmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.