Heat Content of a Riemannian Manifold with a Perfect Conducting Boundary

Potential Analysis

Volumn 19, Issue 1, 2003, Pages 89-98

  Van Den Berg, M ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Boundary; Heat content asymptotics; Riemannian manifold

Indexed keywords

EID: 0037214706     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022480526478     Document Type: Article

References (9)

1. van den Berg, M. and Gilkey, P.: 'Heat content asymptotics of a Riemannian manifold with boundary', J. Funct. Anal. 120 (1994), 48-71.
2. van den Berg, M. and Gilkey, P.: 'The heat equation with inhomogeneous Dirichlet boundary conditions', Comm. Anal. Geom. 7 (1999), 279-294.
3. van den Berg, M. and Gilkey, P.: 'The heat content asymptotics of a time-dependent process', Proc. Roy. Soc. Edinburgh A 130 (2000), 307-312.
4. 2 with a polygonal boundary', Probab. Theory Related Fields 86 (1990), 41-52.
5. Carslaw, H.S. and Jaeger, J.C.: Conduction of Heat in Solids, Oxford University Press, Oxford, 1992.
6. Chavel, I.: Eigenvalues in Riemannian Geometry, Academic Press, New York, 1984.
7. Gilkey, P. and Kirsten, K.: 'Heat content and heat trace asymptotics with local boundary conditions', Preprint, November 2001.
8. Kato, T.: Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1980.
9. Widder, D.V.: The Laplace Transform, Princeton University Press, Princeton, 1946.