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Volumn 29, Issue 10, 2013, Pages

Spectral analysis of the interior transmission eigenvalue problem

Author keywords

[No Author keywords available]

Indexed keywords

COUNTABLE SET; DENSE SUBSPACE; HILBERT-SCHMIDT OPERATORS; INTERIOR TRANSMISSION EIGENVALUES; PSEUDOSPECTRUM; REFRACTION INDEX; SPECTRAL THEORY; TRANSMISSION EIGENVALUE;

EID: 84884637935     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/29/10/104001     Document Type: Article
Times cited : (66)

References (30)
  • 2
    • 0001912013 scopus 로고
    • Boundary problems for pseudo-differential operators
    • 10.1007/BF02392024 0001-5962
    • Boutet de Monvel L 1971 Boundary problems for pseudo-differential operators Acta Math. 126 11-51
    • (1971) Acta Math. , vol.126 , pp. 11-51
    • Boutet De Monvel, L.1
  • 3
    • 62649116875 scopus 로고    scopus 로고
    • Transmission eigenvalues and the nondestructive testing of dielectrics
    • 10.1088/0266-5611/24/6/065016 0266-5611 065016
    • Cakoni F, Çayören M and Colton D 2008 Transmission eigenvalues and the nondestructive testing of dielectrics Inverse Problems 24 065016
    • (2008) Inverse Problems , vol.24 , Issue.6
    • Cakoni, F.1    Çayören, M.2    Colton, D.3
  • 4
    • 77954406522 scopus 로고    scopus 로고
    • The interior transmission problem for regions with cavities
    • 10.1137/090754637 0036-1410
    • Cakoni F, Colton D and Haddar H 2010 The interior transmission problem for regions with cavities SIAM J. Math. Anal. 42 145-62
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 145-162
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 5
    • 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
    • 1842683272 scopus 로고    scopus 로고
    • Nonlinear eigenvalues and analytic hypoellipticity
    • DOI 10.1016/S0022-1236(03)00105-8
    • Chanillo S, Helffer B and Laptev A 2004 Nonlinear eigenvalues and analytic hypoellipticity J. Funct. Anal. 209 425-43 (Pubitemid 38482779)
    • (2004) Journal of Functional Analysis , vol.209 , Issue.2 , pp. 425-443
    • Chanillo, S.1    Helffer, B.2    Laptev, A.3
  • 8
    • 0012355575 scopus 로고
    • Far-field patterns for acoustic waves in an inhomogeneous medium
    • 10.1137/0520096 0036-1410
    • Colton D, Kirsch A and Päivärinta L 1989 Far-field patterns for acoustic waves in an inhomogeneous medium SIAM J. Math. Anal. 20 1472-83
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1472-1483
    • Colton, D.1    Kirsch, A.2    Päivärinta, L.3
  • 12
    • 0033472559 scopus 로고    scopus 로고
    • Semi-classical states for non-self-adjoint Schrödinger operators
    • 10.1007/s002200050521 0010-3616
    • Davies B E 1999 Semi-classical states for non-self-adjoint Schrödinger operators Commun. Math. Phys. 200 35-41
    • (1999) Commun. Math. Phys. , vol.200 , pp. 35-41
    • Davies, B.E.1
  • 13
    • 1842832252 scopus 로고    scopus 로고
    • Pseudospectra of semiclassical (pseudo-) differential operators
    • 10.1002/cpa.20004
    • Dencker N, Sjöstrand J and Zworski M 2004 Pseudospectra of semiclassical (pseudo-) differential operators Commun. Pure Appl. Math. 57 384-415
    • (2004) Commun. Pure Appl. Math. , vol.57 , pp. 384-415
    • Dencker, N.1    Sjöstrand, J.2    Zworski, M.3
  • 14
    • 84856265554 scopus 로고    scopus 로고
    • Quasiclassical analysis of a nonlinear eigenvalue problem, and nonanalytic hypoellipticity
    • 0234-0852
    • Helffer B, Robert D and Wang X P 2004 Quasiclassical analysis of a nonlinear eigenvalue problem, and nonanalytic hypoellipticity Algebra Anal. 16 320-34
    • (2004) Algebra Anal. , vol.16 , pp. 320-334
    • Helffer, B.1    Robert, D.2    Wang, X.P.3
  • 15
    • 85009743328 scopus 로고    scopus 로고
    • Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity
    • Helffer B, Robert D and Wang X P 2005 Quasiclassical analysis of a nonlinear eigenvalue problem, and nonanalytic hypoellipticity St. Petersburg Math. J. 16 285-96 (Engl. transl.) (Pubitemid 40262784)
    • (2005) St Petersburg Mathematical Journal , vol.16 , Issue.1 , pp. 285-296
    • Helffer, B.1    Robert, D.2    Wang, X.P.3
  • 16
    • 79251499683 scopus 로고    scopus 로고
    • Transmission eigenvalues for operators with constant coefficients
    • 10.1137/100793748 0036-1410
    • Hitrik M, Krupchyk K, Ola P and Päivärinta L 2010 Transmission eigenvalues for operators with constant coefficients SIAM J. Math. Anal. 42 2965-86
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 2965-2986
    • Hitrik, M.1    Krupchyk, K.2    Ola, P.3    Päivärinta, L.4
  • 20
    • 84861374501 scopus 로고    scopus 로고
    • Ellipticity in the interior transmission problem in anisotropic media
    • 10.1137/11084738X 0036-1410
    • Lakshtanov E and Vainberg B 2012 Ellipticity in the interior transmission problem in anisotropic media SIAM J. Math. Anal. 44 1165-74
    • (2012) SIAM J. Math. Anal. , vol.44 , pp. 1165-1174
    • Lakshtanov, E.1    Vainberg, B.2
  • 21
    • 84857945773 scopus 로고    scopus 로고
    • Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
    • 10.1088/1751-8113/45/12/125202 1751-8113 125202
    • Lakshtanov E and Vainberg B 2012 Remarks on interior transmission eigenvalues, Weyl formula and branching billiards J. Phys. A: Math. Theor. 45 125202
    • (2012) J. Phys. A: Math. Theor. , vol.45
    • Lakshtanov, E.1    Vainberg, B.2
  • 24
    • 84963255809 scopus 로고
    • Contrôle exact de l'équation de la chaleur
    • 10.1080/03605309508821097
    • Lebeau G and Robbiano L 1995 Contrôle exact de l'équation de la chaleur Commun. Partial Differ. Eqns 20 335-56
    • (1995) Commun. Partial Differ. Eqns , vol.20 , pp. 335-356
    • Lebeau, G.1    Robbiano, L.2
  • 25
    • 0001670988 scopus 로고    scopus 로고
    • Stabilisation de l'équation des ondes par le bord
    • Lebeau G and Robbiano L 1997 Stabilisation de l'équation des ondes par le bord Duke Math. J. 86 465-91 (Pubitemid 127450670)
    • (1997) Duke Mathematical Journal , vol.86 , Issue.3 , pp. 465-491
    • Lebeau, G.1    Robbiano, L.2
  • 27
    • 63849320773 scopus 로고    scopus 로고
    • Non-linear eigenvalue problems
    • Robert D 2004 Non-linear eigenvalue problems Math. Contemp. 26 109-27
    • (2004) Math. Contemp. , vol.26 , pp. 109-127
    • Robert, D.1
  • 28
    • 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
  • 29
    • 0033472559 scopus 로고    scopus 로고
    • Semi-classical states for non-self-adjoint Schrödinger operators
    • 10.1007/s002200050521 0010-3616
    • Zworski M 1999 Semi-classical states for non-self-adjoint Schrödinger operators Commun. Math. Phys. 200 35-41
    • (1999) Commun. Math. Phys. , vol.200 , pp. 35-41
    • Zworski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.