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The heat content asymptotics of a time-dependent process

Published online by Cambridge University Press:  11 July 2007

M. van den Berg  and
P. Gilkey
M. van den Berg
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK (M.vandenBerg@bris.ac.uk)
P. Gilkey
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, USA (gilkey@math.uoregon.edu)
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Abstract

Let M be a compact manifold with smooth boundary. We study the heat content asymptotics on M defined by a time-dependent heat source and time-dependent boundary conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 2 , April 2000 , pp. 307 - 312
Copyright
Copyright © Royal Society of Edinburgh 2000

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