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Volumn 91, Issue 9, 2012, Pages 1675-1690

Interior transmission eigenvalue problem with refractive index having C 2-transition to the background medium

Author keywords

acoustic scattering; inhomogeneous medium; interior transmission eigenvalue problem; transmission eigenvalues; transmission spectrum

Indexed keywords


EID: 84866036452     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036811.2011.577741     Document Type: Article
Times cited : (11)

References (27)
  • 1
    • 0034266332 scopus 로고    scopus 로고
    • Recent developments in inverse acoustic scattering theory
    • Colton, D, Coyle, J and Monk, P. 2000. Recent developments in inverse acoustic scattering theory. SIAM Rev., 42(3): 369-414.
    • (2000) SIAM Rev. , vol.42 , Issue.3 , pp. 369-414
    • Colton, D.1    Coyle, J.2    Monk, P.3
  • 2
    • 0012355575 scopus 로고
    • Far-field patterns for acoustic waves in an inhomogeneous medium
    • Colton, D, Kirsch, A and Paivarinta, L. 1989. Far-field patterns for acoustic waves in an inhomogeneous medium. SIAM J. Math. Anal., 20(6): 1472-1483.
    • (1989) SIAM J. Math. Anal. , vol.20 , Issue.6 , pp. 1472-1483
    • Colton, D.1    Kirsch, A.2    Paivarinta, L.3
  • 3
    • 0011420697 scopus 로고
    • Inverse acoustic and electromagnetic scattering theory
    • Colton, D and Kress, R. 1991. Inverse acoustic and electromagnetic scattering theory. Appl. Math. Sci., 93: 105-150.
    • (1991) Appl. Math. Sci. , vol.93 , pp. 105-150
    • Colton, D.1    Kress, R.2
  • 4
    • 0343683857 scopus 로고
    • The inverse scattering problem for time harmonic acoustic waves in an inhomogeneous medium
    • Colton, D and Monk, P. 1988. The inverse scattering problem for time harmonic acoustic waves in an inhomogeneous medium. Quart. J. Mech. Appl. Math., 41: 97-125.
    • (1988) Quart. J. Mech. Appl. Math. , vol.41 , pp. 97-125
    • Colton, D.1    Monk, P.2
  • 7
    • 0000423623 scopus 로고
    • The interior transmission problem and inverse scattering from inhomogeneous media
    • Rynne, BP and Sleeman, BD. 1991. The interior transmission problem and inverse scattering from inhomogeneous media. SIAM J. Math. Anal., 22(6): 1755-1762.
    • (1991) SIAM J. Math. Anal. , vol.22 , Issue.6 , pp. 1755-1762
    • Rynne, B.P.1    Sleeman, B.D.2
  • 8
    • 62649116875 scopus 로고    scopus 로고
    • Transmission eigenvalues and the nondestructive testing of dielectrics
    • Cakoni, F, Cayoren, M and Colton, D. 2008. Transmission eigenvalues and the nondestructive testing of dielectrics. Inverse Probl., 24(6): 65016-65030.
    • (2008) Inverse Probl. , vol.24 , Issue.6 , pp. 65016-65030
    • Cakoni, F.1    Cayoren, M.2    Colton, D.3
  • 9
    • 77954406522 scopus 로고    scopus 로고
    • The interior transmission problem for regions with cavities
    • Cakoni, F, Colton, D and Haddar, H. 2010. The interior transmission problem for regions with cavities. SIAM J. Math. Anal., 42: 145
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 145
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 10
    • 77349105539 scopus 로고    scopus 로고
    • New results on transmission eigenvalues
    • Cakoni, F and Gintides, D. 2010. New results on transmission eigenvalues. Inverse Probl. Imaging (IPI), 4(1): 39-48.
    • (2010) Inverse Probl. Imaging (IPI) , vol.4 , Issue.1 , pp. 39-48
    • Cakoni, F.1    Gintides, D.2
  • 11
    • 77950574432 scopus 로고    scopus 로고
    • The existence of an infinite discrete set of transmission eigenvalues
    • Cakoni, F, Gintides, D and Haddar, H. 2010. The existence of an infinite discrete set of transmission eigenvalues. SIAM J. Math. Anal., 42: 237
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 237
    • Cakoni, F.1    Gintides, D.2    Haddar, H.3
  • 12
    • 67651235537 scopus 로고    scopus 로고
    • On the existence of transmission eigenvalues in an inhomogeneous medium
    • Cakoni, F and Haddar, H. 2009. On the existence of transmission eigenvalues in an inhomogeneous medium. Appl. Anal., 88(4): 475-493.
    • (2009) Appl. Anal. , vol.88 , Issue.4 , pp. 475-493
    • Cakoni, F.1    Haddar, H.2
  • 16
    • 84866033954 scopus 로고
    • p-theory for a class of singular elliptic differential operators, 2
    • p-theory for a class of singular elliptic differential operators, 2. Czech. Math. J., 101(26): 438-447.
    • (1976) Czech. Math. J. , vol.101 , Issue.26 , pp. 438-447
    • Kretschmer, H.1    Triebel, H.2
  • 17
    • 84866045981 scopus 로고
    • Interpolation theory for function spaces of Besov type defined in domains, 1
    • Triebel, H. 1972. Interpolation theory for function spaces of Besov type defined in domains, 1. Math. Nach., 57: 51-85.
    • (1972) Math. Nach. , vol.57 , pp. 51-85
    • Triebel, H.1
  • 18
    • 84866034085 scopus 로고
    • Interpolation theory for function spaces of Besov type defined in domains, 2
    • Triebel, H. 1972. Interpolation theory for function spaces of Besov type defined in domains, 2. Math. Nach., 58: 63-86.
    • (1972) Math. Nach. , vol.58 , pp. 63-86
    • Triebel, H.1
  • 19
    • 52549092502 scopus 로고
    • p-theory for a class of singular elliptic differential operators
    • p-theory for a class of singular elliptic differential operators. Czech. Math. J., 23(4): 525-541.
    • (1973) Czech. Math. J. , vol.23 , Issue.4 , pp. 525-541
    • Triebel, H.1
  • 21
    • 26944466325 scopus 로고    scopus 로고
    • Pointwise Hardy inequalities
    • Hajlasz, P. 1999. Pointwise Hardy inequalities. Proc. Am. Math Soc., 127(2): 417-424.
    • (1999) Proc. Am. Math Soc. , vol.127 , Issue.2 , pp. 417-424
    • Hajlasz, P.1
  • 22
    • 77952567223 scopus 로고    scopus 로고
    • Weighted pointwise Hardy inequalities
    • Koskela, P and Lehrbäck, J. 2009. Weighted pointwise Hardy inequalities. J. London Math. Soc., 79(3): 757
    • (2009) J. London Math. Soc. , vol.79 , Issue.3 , pp. 757
    • Koskela, P.1    Lehrbäck, J.2
  • 23
    • 52549131377 scopus 로고    scopus 로고
    • Self-improving properties of weighted Hardy inequalities
    • Lehrbäck, J. 2008. Self-improving properties of weighted Hardy inequalities. Adv. Calc. Var., 1(2): 193-203.
    • (2008) Adv. Calc. Var. , vol.1 , Issue.2 , pp. 193-203
    • Lehrbäck, J.1
  • 24
    • 0012638814 scopus 로고
    • Sur une methode pour resoudre les equations aux derivees partielles du type elliptique, voisine de la variationnelle
    • Necas, J. 1962. Sur une methode pour resoudre les equations aux derivees partielles du type elliptique, voisine de la variationnelle. Ann. Scuola Norm. Sup. Pisa, 16(3): 305-326.
    • (1962) Ann. Scuola Norm. Sup. Pisa , vol.16 , Issue.3 , pp. 305-326
    • Necas, J.1
  • 26
    • 0036381894 scopus 로고    scopus 로고
    • Recovering a potential from partial Cauchy data
    • Bukhgeim, AL and Uhlmann, G. 2002. Recovering a potential from partial Cauchy data. Commun. Partial Differ. Eqns., 27(3): 653-668.
    • (2002) Commun. Partial Differ. Eqns. , vol.27 , Issue.3 , pp. 653-668
    • Bukhgeim, A.L.1    Uhlmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.