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Volumn 78, Issue 3, 1999, Pages 627-661

Asymptotics for the heat content of a planar region with a fractal polygonal boundary

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EID: 0013045110     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0024611599001781     Document Type: Article
Times cited : (20)

References (12)
  • 1
    • 21844497691 scopus 로고
    • Heat content and Brownian motion for some regions with a fractal boundary
    • M. VAN DEN BERG, 'Heat content and Brownian motion for some regions with a fractal boundary', Probab. Theory Related Fields 100 (1994) 439-456.
    • (1994) Probab. Theory Related Fields , vol.100 , pp. 439-456
    • Van Den Berg, M.1
  • 2
    • 51249164428 scopus 로고
    • Mean curvature and the heat equation
    • M. VAN DEN BERG and J.-F. LE GALL, 'Mean curvature and the heat equation', Math. Z. 215 (1994) 437-464.
    • (1994) Math. Z. , vol.215 , pp. 437-464
    • Van Den Berg, M.1    Le Gall, J.-F.2
  • 3
    • 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. Anal. 120 (1994) 48-71.
    • (1994) J. Funct. Anal. , vol.120 , pp. 48-71
    • Van Den Berg, M.1    Gilkey, P.B.2
  • 6
    • 0001432945 scopus 로고
    • Can one hear the dimension of a fractal?
    • J. BROSSARD and R. CARMONA, 'Can one hear the dimension of a fractal?', Comm. Math. Phys. 104 (1986) 103-122.
    • (1986) Comm. Math. Phys. , vol.104 , pp. 103-122
    • Brossard, J.1    Carmona, R.2
  • 8
    • 0001564214 scopus 로고
    • Heat equation on the triadic von Koch snowflake: Asymptotic and numerical analysis
    • J. FLECKINGER, M. LEVITIN and D. VASSILIEV, 'Heat equation on the triadic von Koch snowflake: asymptotic and numerical analysis', Proc. London Math. Soc. (3) 71 (1995) 372-396.
    • (1995) Proc. London Math. Soc. , vol.71 , Issue.3 , pp. 372-396
    • Fleckinger, J.1    Levitin, M.2    Vassiliev, D.3
  • 10
    • 0002697827 scopus 로고
    • Can one hear the shape of a drum?
    • M. KAC, 'Can one hear the shape of a drum?', Amer. Math. Monthly 73 (1966) 1-23.
    • (1966) Amer. Math. Monthly , vol.73 , pp. 1-23
    • Kac, M.1
  • 11
    • 84972530647 scopus 로고
    • Curvature and eigenvalues of the Laplacian
    • H. P. MCKEAN and I. M. SINGER, 'Curvature and eigenvalues of the Laplacian', J. Differential Geom. 1 (1967) 43-69.
    • (1967) J. Differential Geom. , vol.1 , pp. 43-69
    • McKean, H.P.1    Singer, I.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.