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Volumn 32, Issue 15, 1999, Pages 2825-2834

The heat content asymptotics for variable geometries

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EID: 0033574349     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/15/010     Document Type: Article
Times cited : (12)

References (16)
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    • Functoriality and heat content asymptotics for operators of laplace type
    • van den Berg M, Desjardins S and Gilkey P 1993 Functoriality and heat content asymptotics for operators of Laplace type Top. Meth. Nonlin. Anol. 2 147-62
    • (1993) Top. Meth. Nonlin. Anol. , vol.2 , pp. 147-162
    • Van Den Berg, M.1    Desjardins, S.2    Gilkey, P.3
  • 2
    • 0001233625 scopus 로고
    • Heat content asymptotics of a Riemannian manifold with boundary
    • van den Berg M and Gilkey P 1994 Heat content asymptotics of a Riemannian manifold with boundary J. Funct. Anal. 120 48-71
    • (1994) J. Funct. Anal. , vol.120 , pp. 48-71
    • Van Den Berg, M.1    Gilkey, P.2
  • 3
    • 0000807284 scopus 로고    scopus 로고
    • The heat equation with inhomogeneous Dirichlet boundary conditions
    • van den Berg M and Gilkey P The heat equation with inhomogeneous Dirichlet boundary conditions Commun. Anal. Geom. at press
    • Commun. Anal. Geom.
    • Van Den Berg, M.1    Gilkey, P.2
  • 4
    • 0035644272 scopus 로고    scopus 로고
    • Heat content asymptotics with inhomogeneous Neumann and Dirichlet boundary conditions
    • van den Berg M and Gilkey P Heat content asymptotics with inhomogeneous Neumann and Dirichlet boundary conditions Potential Anal. at press
    • Potential Anal.
    • Van Den Berg, M.1    Gilkey, P.2
  • 6
    • 51249164428 scopus 로고
    • Mean curvature and the heat equation
    • van den Berg M and Le Gall J-F 1994 Mean curvature and the heat equation Math. Z. 215 437-64
    • (1994) Math. Z. , vol.215 , pp. 437-464
    • Van Den Berg, M.1    Le Gall, J.-F.2
  • 9
    • 51249167830 scopus 로고
    • Heat content asymptotics for operators of laplace type with Neumann boundary conditions
    • Desjardins S and Gilkey P 1994 Heat content asymptotics for operators of Laplace type with Neumann boundary conditions Math. Z. 215 251-68
    • (1994) Math. Z. , vol.215 , pp. 251-268
    • Desjardins, S.1    Gilkey, P.2
  • 11
    • 0003279198 scopus 로고    scopus 로고
    • Functional calculus of pseudodifferential boundary problems
    • Basle: Birkhäuser
    • Grubb G 1996 Functional calculus of pseudodifferential boundary problems Progress in Mathematics vol 65 2nd edn (Basle: Birkhäuser)
    • (1996) Progress in Mathematics Vol 65 2nd Edn , vol.65
    • Grubb, G.1
  • 12
    • 0001246498 scopus 로고
    • Heat kernel asymptotics for mixed boundary conditions
    • McAvity D M 1992 Heat kernel asymptotics for mixed boundary conditions Class. Quantum Grav. 9 1983-98
    • (1992) Class. Quantum Grav. , vol.9 , pp. 1983-1998
    • McAvity, D.M.1
  • 13
    • 21144482844 scopus 로고
    • Surface energy from heat content asymptotics
    • McAvity D M 1993 Surface energy from heat content asymptotics J. Phys. A: Math. Gen. 26 823-30
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 823-830
    • McAvity, D.M.1
  • 14
    • 0001110415 scopus 로고    scopus 로고
    • Uniform estimates and the whole asymptotic series of the heat content on manifolds
    • Savo A 1998 Uniform estimates and the whole asymptotic series of the heat content on manifolds Geometriae Dedicata 73 181-214
    • (1998) Geometriae Dedicata , vol.73 , pp. 181-214
    • Savo, A.1
  • 16
    • 0004109271 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Weyl H 1946 The Classical Groups (Princeton, NJ: Princeton University Press)
    • (1946) The Classical Groups
    • Weyl, H.1


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