메뉴 건너뛰기




Volumn 6, Issue 1, 2016, Pages 167-183

Counting function for interior transmission eigenvalues

Author keywords

Interior transmission eigenvalues; Weyl law

Indexed keywords


EID: 84953774656     PISSN: 21568472     EISSN: 21568499     Source Type: Journal    
DOI: 10.3934/mcrf.2016.6.167     Document Type: Article
Times cited : (21)

References (23)
  • 2
    • 62649116875 scopus 로고    scopus 로고
    • Transmission eigenvalues and the nondestructive testing of dielectrics
    • F. Cakoni, M. Çayören and D. Colton, Transmission eigenvalues and the nondestructive testing of dielectrics, Inverse Problems, 24 (2008), 065016, 15pp.
    • (2008) Inverse Problems , vol.24
    • Cakoni, F.1    Çayören, M.2    Colton, D.3
  • 3
    • 77954406522 scopus 로고    scopus 로고
    • The interior transmission problem for regions with cavities, SIAM
    • F. Cakoni, D. Colton and H. Haddar, The interior transmission problem for regions with cavities, SIAM J. Math. Anal., 42 (2010), 145-162.
    • (2010) J. Math. Anal. , vol.42 , pp. 145-162
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 4
    • 77950574432 scopus 로고    scopus 로고
    • The existence of an in finite discrete set of transmission eigenvalues, SIAM
    • F. Cakoni, D. Gintides and H. Haddar, The existence of an in finite discrete set of transmission eigenvalues, SIAM J. Math. Anal., 42 (2010), 237-255.
    • (2010) J. Math. Anal. , vol.42 , pp. 237-255
    • Cakoni, F.1    Gintides, D.2    Haddar, H.3
  • 5
    • 84885370941 scopus 로고    scopus 로고
    • Transmission Eigenvalues in Inverse Scattering Theory, in Inverse Problems and Applications: Inside Out II
    • F. Cakoni and H. Haddar, Transmission Eigenvalues in Inverse Scattering Theory, in Inverse Problems and Applications: Inside Out II, MSRI Publication, 60 (2013), 529-580.
    • (2013) MSRI Publication , vol.60 , pp. 529-580
    • Cakoni, F.1    Haddar, H.2
  • 7
    • 0012355575 scopus 로고
    • Far-field patterns for acoustic waves in an inhomogeneous medium, SIAM
    • D. Colton, A. Kirsch and L. Päivärinta, Far-field 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
  • 8
    • 0003275409 scopus 로고
    • Inverse Acoustic and Electromagnetic Scattering Theory
    • Springer-Verlag, Berlin
    • D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Applied Mathematical Sciences, 93, Springer-Verlag, Berlin, 1992.
    • (1992) Applied Mathematical Sciences , vol.93
    • Colton, D.1    Kress, R.2
  • 11
    • 79251499683 scopus 로고    scopus 로고
    • Transmission eigenvalues for operators with constant coeficients, SIAM
    • M. Hitrik, K. Krupchyk, P. Ola Petri and L. Päivärinta, Transmission eigenvalues for operators with constant coeficients, SIAM J. Math. Anal., 42 (2010), 2965-2986.
    • (2010) J. Math. Anal. , vol.42 , pp. 2965-2986
    • Hitrik, M.1    Krupchyk, K.2    Ola Petri, P.3    Päivärinta, L.4
  • 12
    • 84856268404 scopus 로고    scopus 로고
    • Transmission eigenvalues for elliptic operators, SIAM
    • M. Hitrik, K. Krupchyk, P. Ola and L. Päivärinta, Transmission eigenvalues for elliptic operators, SIAM J. Math. Anal., 43 (2011), 2630-2639.
    • (2011) J. Math. Anal. , vol.43 , pp. 2630-2639
    • Hitrik, M.1    Krupchyk, K.2    Ola, P.3    Päivärinta, L.4
  • 13
    • 79955544674 scopus 로고    scopus 로고
    • The interior transmission problem and bounds on transmission eigenvalues
    • M. Hitrik, K. Krupchyk, P. Ola and L. Päivärinta, The interior transmission problem and bounds on transmission eigenvalues, Math. Res. Lett., 18 (2011), 279-293.
    • (2011) Math. Res. Lett. , vol.18 , pp. 279-293
    • Hitrik, M.1    Krupchyk, K.2    Ola, P.3    Päivärinta, L.4
  • 14
    • 0012503184 scopus 로고
    • Neuer Beweis und Verallgemeinerung einiger Tauberian-Sätze
    • J. Karamata, Neuer Beweis und Verallgemeinerung einiger Tauberian-Sätze, Math. Z., 33 (1931), 294-299.
    • (1931) Math. Z. , vol.33 , pp. 294-299
    • Karamata, J.1
  • 15
    • 84861374501 scopus 로고    scopus 로고
    • Ellipticity in the interior transmission problem in anisotropic media, SIAM
    • E. Lakshtanov and B. Vainberg, Ellipticity in the interior transmission problem in anisotropic media, SIAM J. Math. Anal., 44 (2012), 1165-1174.
    • (2012) J. Math. Anal. , vol.44 , pp. 1165-1174
    • Lakshtanov, E.1    Vainberg, B.2
  • 16
    • 84857945773 scopus 로고    scopus 로고
    • Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
    • E. Lakshtanov and B. Vainberg, Remarks on interior transmission eigenvalues, Weyl formula and branching billiards, J. Phys. A: Math. Theor, 45 (2012), 125202, 10pp.
    • (2012) J. Phys. A: Math. Theor , vol.45
    • Lakshtanov, E.1    Vainberg, B.2
  • 17
    • 84867263183 scopus 로고    scopus 로고
    • Bounds on positive interior transmission eigenvalues
    • E. Lakshtanov and B. Vainberg, Bounds on positive interior transmission eigenvalues, Inverse Problems, 28 (2012), 105005, 13pp.
    • (2012) Inverse Problems , vol.28
    • Lakshtanov, E.1    Vainberg, B.2
  • 18
    • 84884599414 scopus 로고    scopus 로고
    • Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
    • E. Lakshtanov and B. Vainberg, Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem, Inverse Problems, 29 (2013), 104003, 19pp.
    • (2013) Inverse Problems , vol.29
    • Lakshtanov, E.1    Vainberg, B.2
  • 20
  • 21
    • 84906903527 scopus 로고    scopus 로고
    • Weyl asymptotics of the transmissionéigenvalues for a constant index of refraction
    • H. Pham and P. Stefanov, Weyl asymptotics of the transmissionéigenvalues for a constant index of refraction, Inverse Problems and Imaging, 8 (2014), 795-810.
    • (2014) Inverse Problems and Imaging , vol.8 , pp. 795-810
    • Pham, H.1    Stefanov, P.2
  • 22
    • 84884637935 scopus 로고    scopus 로고
    • Spectral analysis on interior transmissionéigenvalues
    • L. Robbiano, Spectral analysis on interior transmissionéigenvalues, Inverse Problems, 29 (2013), 104001, 28pp.
    • (2013) Inverse Problems , vol.29
    • Robbiano, L.1
  • 23
    • 84858730794 scopus 로고    scopus 로고
    • Discreteness of transmissionéigenvalues via upper triangular compact operators, SIAM
    • J. Sylvester, Discreteness of transmissionéigenvalues via upper triangular compact operators, SIAM J. Math. Anal., 44 (2012), 341-354.
    • (2012) J. Math. Anal. , vol.44 , pp. 341-354
    • Sylvester, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.