메뉴 건너뛰기




Volumn 129, Issue 4, 1999, Pages 841-854

Asymptotics for the spectral heat function and bounds for integrals of Dirichlet eigenfunctions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33747103114     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500013172     Document Type: Article
Times cited : (2)

References (13)
  • 1
    • 84953832735 scopus 로고
    • The asymptotics of the Laplacian on a manifold with boundary
    • T. P. Branson and P. B. Gilkey. The asymptotics of the Laplacian on a manifold with boundary. Commun. Partial Diff. Eqns 15 (1990), 245-272.
    • (1990) Commun. Partial Diff. Eqns , vol.15 , pp. 245-272
    • Branson, T.P.1    Gilkey, P.B.2
  • 4
    • 0040202590 scopus 로고
    • San Antonio, TX: Principia Press of Trinity University
    • H. T. Davis. Summation of series (San Antonio, TX: Principia Press of Trinity University, 1962).
    • (1962) Summation of Series
    • Davis, H.T.1
  • 6
    • 0007014990 scopus 로고
    • Über die asymptotische Verteilung der Eigenwerte des Laplace-operators für Gebiete auf der Kugeloberfläche
    • D. Gromes. Über die asymptotische Verteilung der Eigenwerte des Laplace-operators für Gebiete auf der Kugeloberfläche. Math. Z. 94 (1966), 110-121.
    • (1966) Math. Z. , vol.94 , pp. 110-121
    • Gromes, D.1
  • 7
    • 0003288250 scopus 로고    scopus 로고
    • The asymptotic distribution of eigenvalues of partial differential operators
    • Providence, RI: American Mathematical Society
    • Yu. Safarov and D. Vassiliev. The asymptotic distribution of eigenvalues of partial differential operators. Translations of Mathematical Monographs, vol. 155 (Providence, RI: American Mathematical Society, 1997).
    • (1997) Translations of Mathematical Monographs , vol.155
    • Safarov, Y.1    Vassiliev, D.2
  • 8
    • 38249012075 scopus 로고
    • Dirichlet-Neumann bracketing for horn-shaped regions
    • M. van den Berg. Dirichlet-Neumann bracketing for horn-shaped regions. J. Funct. Analysis 104 (1992), 110-120.
    • (1992) J. Funct. Analysis , vol.104 , pp. 110-120
    • Van Den Berg, M.1
  • 9
    • 0032105306 scopus 로고    scopus 로고
    • Heat content asymptotics for planar regions with cusps
    • M. van den Berg. Heat content asymptotics for planar regions with cusps. J. Lond. Math. Soc. 57(2) (1998), 677-693.
    • (1998) J. Lond. Math. Soc. , vol.57 , Issue.2 , pp. 677-693
    • Van Den Berg, M.1
  • 11
    • 0001233625 scopus 로고
    • Heat content asymptotics of a Riemannian manifold with boundary
    • M. van den Berg and P. B. Gilkey. Heat content asymptotics of a Riemannian manifold with boundary. J. Funct. Analysis 120 (1994), 48-71.
    • (1994) J. Funct. Analysis , vol.120 , pp. 48-71
    • Van Den Berg, M.1    Gilkey, P.B.2
  • 12
    • 0032129015 scopus 로고    scopus 로고
    • A comparison estimate for the heat equation with an application to the heat content of the s-adic von Koch snowflake
    • M. van den Berg and P. B. Gilkey. A comparison estimate for the heat equation with an application to the heat content of the s-adic von Koch snowflake. Bull. Lond. Math. Soc. 30 (1998), 404-412.
    • (1998) Bull. Lond. Math. Soc. , vol.30 , pp. 404-412
    • Van Den Berg, M.1    Gilkey, P.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.