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Volumn 51, Issue 3, 2000, Pages 313-342

Neumann Laplacians on domains and operators on associated trees

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EID: 0034259009     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/51.3.313     Document Type: Article
Times cited : (9)

References (10)
  • 1
    • 0001508569 scopus 로고
    • Spectral properties of the Neumann laplacian of horns
    • E. B. Davies and B. Simon, Spectral properties of the Neumann Laplacian of horns, Geom. Funct. Anal. 2 (1992), 105-117.
    • (1992) Geom. Funct. Anal. , vol.2 , pp. 105-117
    • Davies, E.B.1    Simon, B.2
  • 2
    • 21944442414 scopus 로고    scopus 로고
    • Spectral asymptotics with a remainder estimate of the Neumann Laplacian on horns: The case of the rapidly growing counting function
    • S. I. Boyarchenko and S. Z. Levendorskii, Spectral asymptotics with a remainder estimate of the Neumann Laplacian on horns: the case of the rapidly growing counting function, Proc. R. Soc. Edinburgh A 128 (1998), 11-22.
    • (1998) Proc. R. Soc. Edinburgh A , vol.128 , pp. 11-22
    • Boyarchenko, S.I.1    Levendorskii, S.Z.2
  • 4
    • 84959822569 scopus 로고
    • Sobolev embeddings for generalized ridged domains
    • W. D. Evans and D. J. Harris, Sobolev embeddings for generalized ridged domains, Proc. London. Math. Soc. 54 (1987), 141-175.
    • (1987) Proc. London. Math. Soc. , vol.54 , pp. 141-175
    • Evans, W.D.1    Harris, D.J.2
  • 5
    • 0002344710 scopus 로고
    • On the approximation numbers of sobolev embeddings for irregular domains
    • W. D. Evans and D. J. Harris, On the approximation numbers of Sobolev embeddings for irregular domains, Quart. J. Math. 40 (1989), 13-42.
    • (1989) Quart. J. Math. , vol.40 , pp. 13-42
    • Evans, W.D.1    Harris, D.J.2
  • 6
    • 0001307373 scopus 로고
    • Fractals, trees and the neumann laplacian
    • W. D. Evans and D. J. Harris, Fractals, trees and the Neumann Laplacian, Math. Ann. 296 (1993), 493-527.
    • (1993) Math. Ann. , vol.296 , pp. 493-527
    • Evans, W.D.1    Harris, D.J.2
  • 7
    • 0001602521 scopus 로고    scopus 로고
    • Skeltons and central sets
    • D. H. Fremlin, Skeltons and central sets, Proc. London Math. Soc. 74 (1997), 701-720.
    • (1997) Proc. London Math. Soc. , vol.74 , pp. 701-720
    • Fremlin, D.H.1
  • 9
    • 84966260725 scopus 로고
    • On the spectrum of the neumann laplacian of long range horns: A note on the Davies-Simon theorem
    • V. Jakšic̀, On the spectrum of the Neumann Laplacian of long range horns: a note on the Davies-Simon theorem, Proc. Amer. Math. Soc. 119 (1993), 663-669.
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 663-669
    • Jakšic̀, V.1
  • 10
    • 0002677952 scopus 로고
    • Eigenvalue asymptotics of the neumann laplacian of regions and manifolds with cusps
    • V. Jakšic̀, S. Molc̀anov and B. Simon, Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps, J. Funct. Anal. 106 (1992), 59-79.
    • (1992) J. Funct. Anal. , vol.106 , pp. 59-79
    • Jakšic̀, V.1    Molc̀anov, S.2    Simon, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.