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Volumn 7, Issue 1, 2002, Pages 25-47

Plane domains which are spectrally determined II

Author keywords

Eigenvalues of the Laplacian; Planar drum problem; Trace of the heat kernel

Indexed keywords


EID: 0036013659     PISSN: 10255834     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (12)
  • 1
    • 0002697827 scopus 로고
    • Can one hear the shape of a drum?
    • Kac, M. (1966). Can one hear the shape of a drum? Amer. Math. Monthly, 73, 1-23.
    • (1966) Amer. Math. Monthly , vol.73 , pp. 1-23
    • Kac, M.1
  • 2
    • 33746818176 scopus 로고
    • Isospectral plane domains and surfaces via Riemanian manifold
    • Gordon, C., Webb, D. and Wolpert, S. (1992). Isospectral plane domains and surfaces via Riemanian manifold, Invent. Math., 110, 1-22.
    • (1992) Invent. Math. , vol.110 , pp. 1-22
    • Gordon, C.1    Webb, D.2    Wolpert, S.3
  • 3
    • 0010667117 scopus 로고    scopus 로고
    • Plane domains which are spectrally determined
    • to appear
    • Watanabe, K. (2000). Plane domains which are spectrally determined, Ann. Global Anal. Geom., 18, to appear.
    • (2000) Ann. Global Anal. Geom. , vol.18
    • Watanabe, K.1
  • 4
    • 52149116800 scopus 로고
    • Das asymptotische verteilungsgesetz der eigenschwingungen eines beliebig gestalteten elastischen
    • Weyl, H. (1950). Das asymptotische Verteilungsgesetz der Eigenschwingungen eines beliebig gestalteten elastischen, Körpers. Rend. Cikl. Mat. Palermo, 39, 1-50.
    • (1950) Körpers. Rend. Cikl. Mat. Palermo , vol.39 , pp. 1-50
    • Weyl, H.1
  • 5
    • 78651339290 scopus 로고
    • A study of certain Green's functions with applications in the theory of vibrating membranes
    • Pleijel, A. (1952). A study of certain Green's functions with applications in the theory of vibrating membranes, Ark. Mat. Band 2 nr, 29, 553-569.
    • (1952) Ark. Mat. , vol.2 , Issue.29 , pp. 553-569
    • Pleijel, A.1
  • 6
    • 84972530647 scopus 로고
    • Curvature and eigenvalues of the Laplacian
    • McKean, H.P. and Singer, I.M. (1967). Curvature and eigenvalues of the Laplacian, J. Differential Geom., 1, 43-69.
    • (1967) J. Differential Geom. , vol.1 , pp. 43-69
    • McKean, H.P.1    Singer, I.M.2
  • 7
    • 0010704376 scopus 로고
    • Mouvement brownier et valeurs propers due Laplacian
    • Louchard, G. (1968). Mouvement Brownier et valeurs propers due Laplacian, Ann. Inst. H. Poincaré Anal. B, 4, 331-342.
    • (1968) Ann. Inst. H. Poincaré Anal. B , vol.4 , pp. 331-342
    • Louchard, G.1
  • 9
    • 0001519691 scopus 로고
    • The asymptotics of the heat equation for a boundary value problem
    • Smith, L. (1981). The asymptotics of the heat equation for a boundary value problem, Invent. Math., 63, 467-493.
    • (1981) Invent. Math. , vol.63 , pp. 467-493
    • Smith, L.1
  • 12
    • 0001962307 scopus 로고
    • Equilibrium states of elastic rings
    • Tadjbakhsh, I. and Odeh, F. (1967). Equilibrium states of elastic rings, J. Math. Anal. Appl., 18, 59-74.
    • (1967) J. Math. Anal. Appl. , vol.18 , pp. 59-74
    • Tadjbakhsh, I.1    Odeh, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.