메뉴 건너뛰기




Volumn 29, Issue 10, 2013, Pages

Transmission eigenvalues for a class of non-compactly supported potentials

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTICS; HELMHOLTZ; POSITIVE REAL; SCHRODINGER; SOBOLEV EMBEDDING; TRANSMISSION EIGENVALUES;

EID: 84884634577     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/29/10/104006     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 77956806039 scopus 로고
    • Capacity and compact imbeddings
    • 0095-9057
    • Adams R 1970 Capacity and compact imbeddings J. Math. Mech. 19 923-9
    • (1970) J. Math. Mech. , vol.19 , pp. 923-929
    • Adams, R.1
  • 3
    • 0000815745 scopus 로고
    • Spectral properties of Schrödinger operators and scattering theory
    • Agmon S 1975 Spectral properties of Schrödinger operators and scattering theory Ann. Scuola Norm. Super. Pisa Cl. Sci. (4) 2 151-218
    • (1975) Ann. Scuola Norm. Super. Pisa Cl. Sci. (4) , vol.2 , pp. 151-218
    • Agmon, S.1
  • 5
    • 78649801117 scopus 로고    scopus 로고
    • The interior transmission eigenvalue problem
    • 10.1137/100793542 0036-1410
    • Cakoni F, Colton D and Gintides D 2010 The interior transmission eigenvalue problem SIAM J. Math. Anal. 42 2912-21
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 2912-2921
    • Cakoni, F.1    Colton, D.2    Gintides, D.3
  • 6
    • 77950574432 scopus 로고    scopus 로고
    • The existence of an infinite discrete set of transmission eigenvalues
    • 10.1137/090769338 0036-1410
    • Cakoni F, Gintides D and Haddar H 2010 The existence of an infinite discrete set of transmission eigenvalues SIAM J. Math. Anal. 42 237-55
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 237-255
    • Cakoni, F.1    Gintides, D.2    Haddar, H.3
  • 7
    • 84885370941 scopus 로고    scopus 로고
    • Transmission eigenvalues in inverse scattering theory
    • Cakoni F and Haddar H 2013 Transmission eigenvalues in inverse scattering theory Inverse Problems and Applications: Inside Out II (MSRI Publications vol 60) ed G Uhlmann (New York: Cambridge University Press) pp 529-78
    • (2013) Inverse Problems and Applications: Inside Out II , pp. 529-578
    • Cakoni, F.1    Haddar, H.2
  • 8
    • 0343683857 scopus 로고
    • The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium
    • 10.1093/qjmam/41.1.97 0033-5614
    • Colton D and Monk P 1988 The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium Q. J. Mech. Appl. Math. 41 97-125
    • (1988) Q. J. Mech. Appl. Math. , vol.41 , pp. 97-125
    • Colton, D.1    Monk, P.2
  • 10
    • 84866036452 scopus 로고    scopus 로고
    • Interior transmission eigenvalue problem with refractive index having C2-transition to the background medium
    • 10.1080/00036811.2011.577741
    • Hickmann K 2012 Interior transmission eigenvalue problem with refractive index having C2-transition to the background medium Appl. Anal. 91 1675-90
    • (2012) Appl. Anal. , vol.91 , pp. 1675-1690
    • Hickmann, K.1
  • 13
    • 0008426112 scopus 로고
    • The denseness of the far field patterns for the transmission problem
    • 10.1093/imamat/37.3.213 0272-4960
    • Kirsch A 1986 The denseness of the far field patterns for the transmission problem IMA J. Appl. Math. 37 213-25
    • (1986) IMA J. Appl. Math. , vol.37 , pp. 213-225
    • Kirsch, A.1
  • 17
    • 84879334332 scopus 로고    scopus 로고
    • Transmission eigenvalues for non-regular cases
    • Serov V 2013 Transmission eigenvalues for non-regular cases Commun. Math. Anal. 14 129-42
    • (2013) Commun. Math. Anal. , vol.14 , pp. 129-142
    • Serov, V.1
  • 18
    • 84860477457 scopus 로고    scopus 로고
    • Transmission eigenvalues for degenerate and singular cases
    • 10.1088/0266-5611/28/6/065004 0266-5611 065004
    • Serov V and Sylvester J 2012 Transmission eigenvalues for degenerate and singular cases Inverse Problems 28 065004
    • (2012) Inverse Problems , vol.28 , Issue.6
    • Serov, V.1    Sylvester, J.2
  • 19
    • 84858730794 scopus 로고    scopus 로고
    • Discreteness of transmission eigenvalues via upper triangular compact operators
    • 10.1137/110836420 0036-1410
    • Sylvester J 2012 Discreteness of transmission eigenvalues via upper triangular compact operators SIAM J. Math. Anal. 44 341-54
    • (2012) SIAM J. Math. Anal. , vol.44 , pp. 341-354
    • Sylvester, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.