메뉴 건너뛰기




Volumn 59, Issue 5, 2004, Pages 731-744

On stability for a translated obstacle with impedance boundary condition

Author keywords

Inverse scattering; Nonlinearity; Stability; Uniqueness

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SET THEORY; VECTORS;

EID: 7044233152     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.07.033     Document Type: Article
Times cited : (27)

References (14)
  • 1
    • 0002430792 scopus 로고    scopus 로고
    • One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
    • J. Cheng, M. Yamamoto, One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization, Inverse Problems 16 (4) (2000) 31-38.
    • (2000) Inverse Problems , vol.16 , Issue.4 , pp. 31-38
    • Cheng, J.1    Yamamoto, M.2
  • 2
    • 7044233693 scopus 로고
    • Karp's theorem in acoustic scattering theory
    • D.L. Colton, A. Kirsch, Karp's theorem in acoustic scattering theory, Proc. Am. Math. Soc. 103 (3) (1988) 783-788.
    • (1988) Proc. Am. Math. Soc. , vol.103 , Issue.3 , pp. 783-788
    • Colton, D.L.1    Kirsch, A.2
  • 4
    • 0000522083 scopus 로고
    • New stability results for soft obstacles in inverse scattering
    • V. Isakov, New stability results for soft obstacles in inverse scattering, Inverse Problems 9 (5) (1993) 535-545.
    • (1993) Inverse Problems , vol.9 , Issue.5 , pp. 535-545
    • Isakov, V.1
  • 5
    • 0041196522 scopus 로고
    • Far-field amplitudes and inverse diffraction theory
    • E. Langer (Ed.), University of Wisconsin Press, Madison
    • S.N. Karp, Far-field amplitudes and inverse diffraction theory, in: E. Langer (Ed.), Electromagnetic Waves, University of Wisconsin Press, Madison, 1962, pp. 291-300.
    • (1962) Electromagnetic Waves , pp. 291-300
    • Karp, S.N.1
  • 6
    • 0000532530 scopus 로고
    • Uniqueness in inverse obstacle scattering (acoustics)
    • A. Kirsh, R. Kress, Uniqueness in inverse obstacle scattering (acoustics), Inverse Problems 9 (2) (1993) 285-299.
    • (1993) Inverse Problems , vol.9 , Issue.2 , pp. 285-299
    • Kirsh, A.1    Kress, R.2
  • 7
    • 0035419114 scopus 로고    scopus 로고
    • Inverse scattering for shape and impedance
    • R. Kress, W. Rundell, Inverse scattering for shape and impedance, Inverse Problems 17 (4) (2001) 1075-1085.
    • (2001) Inverse Problems , vol.17 , Issue.4 , pp. 1075-1085
    • Kress, R.1    Rundell, W.2
  • 8
    • 0041577505 scopus 로고    scopus 로고
    • Lipschitz stability estimates for translations and balls in inverse scattering
    • O. Kwon, J.K. Seo, Lipschitz stability estimates for translations and balls in inverse scattering, Inverse Problems 16 (2) (2000) 293-301.
    • (2000) Inverse Problems , vol.16 , Issue.2 , pp. 293-301
    • Kwon, O.1    Seo, J.K.2
  • 9
    • 0041173668 scopus 로고    scopus 로고
    • Uniqueness and stability of the recovery of a sound soft obstacle from a knowledge of its scattering resonances
    • C. Labreuche, Uniqueness and stability of the recovery of a sound soft obstacle from a knowledge of its scattering resonances, Comm. Part. Diff. Eqns. 23 (9-10) (1998) 1719-1748.
    • (1998) Comm. Part. Diff. Eqns. , vol.23 , Issue.9-10 , pp. 1719-1748
    • Labreuche, C.1
  • 10
    • 0042494536 scopus 로고    scopus 로고
    • Stability of the recovery of surface impedances in inverse scattering
    • C. Labreuche, Stability of the recovery of surface impedances in inverse scattering, J. Math. Anal. Appl. 231 (1) (1999) 161-176.
    • (1999) J. Math. Anal. Appl. , vol.231 , Issue.1 , pp. 161-176
    • Labreuche, C.1
  • 11
    • 0346616655 scopus 로고    scopus 로고
    • Inverse obstacle problem: Local uniqueness for rougher obstacles and the identification of a ball
    • C. Liu, Inverse obstacle problem: local uniqueness for rougher obstacles and the identification of a ball, Inverse Problems 13 (4) (1997) 1063-1069.
    • (1997) Inverse Problems , vol.13 , Issue.4 , pp. 1063-1069
    • Liu, C.1
  • 12
    • 0347687549 scopus 로고    scopus 로고
    • Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
    • J.J. Liu, J. Cheng, G. Nakamura, Reconstruction and uniqueness of an inverse scattering problem with impedance boundary, Sci. China Ser. A 45 (11) (2002) 1408-1419.
    • (2002) Sci. China Ser. A , vol.45 , Issue.11 , pp. 1408-1419
    • Liu, J.J.1    Cheng, J.2    Nakamura, G.3
  • 14
    • 0022017884 scopus 로고
    • An inverse acoustic scattering problem for an obstacle with an impedance boundary condition
    • R.T. Smith, An inverse acoustic scattering problem for an obstacle with an impedance boundary condition, J. Math. Anal. Appl. 105 (2) (1985) 333-356.
    • (1985) J. Math. Anal. Appl. , vol.105 , Issue.2 , pp. 333-356
    • Smith, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.