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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
69/2000

On properties of the asymptotic expansion of the heat trace for the N/D problem

J. Stuart Dowker, Peter B. Gilkey and Klaus Kirsten

Abstract

The spectral problem where the field satisfies Dirichlet conditions on one part of the boundary of the relevant domain and Neumann on the remainder is discussed. It is shown that there does not exist a classical asymptotic expansion for short time in terms of fractional powers of t with locally computable coefficients.

Received:
Nov 5, 2000
Published:
Nov 5, 2000
MSC Codes:
58G25

Related publications

inJournal
2001 Repository Open Access
J. Stewart Dowker, Klaus Kirsten and Peter B. Gilkey

On properties of the asymptotic expansion of the heat trace for the N/D problem

In: International journal of mathematics, 12 (2001) 5, pp. 505-507