The heat equation with inhomogeneous Dirichlet boundary conditions

Communications in Analysis and Geometry

Volumn 7, Issue 2, 1999, Pages 279-294

  Van Den Berg, M ^a   Gilkey, P B ^b  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000807284     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1999.v7.n2.a3     Document Type: Article

References (8)

1. M. van den Berg, S. Desjardins, and P. Gilkey, Functoriality and heat content aymptotics for operators of Laplace type, Topological Methods in Nonlinear Analysis, 2 (1993), 147-162.
2. M. van den Berg and P. Gilkey, Heat Content Asymptotics of a Riemannian Manifold with Boundary, Journal of Functional Analysis, 120 (1994), 48-71.
3. M. van den Berg and J-F Le Gall, Mean curvature and the heat equation, Math. Z. 215 (1994), 437-464.
4. H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, Oxford Science Publications, Oxford University Press, 1946.
5. S. Desjardins and P. Gilkey, Heat content asymptotics for operators of Laplace type with Neumann boundary conditions, Math. Z. 215 (1994), 251-268.
6. P. Gilkey, The spectral geometry of a Riemannian manifold, J. Diff. Geo. 10 (1975), 601-618.
7. D.M. McAvity, Heat kernel asymptotics for mixed boundary conditions, Class. Quant. Grav. 9 (1992), 1983-1998.
8. D.M. McAvity, Surface energy from heat content asymptotics, J. Phys. A.: Math. Gen. 26 (1993), 823-830.