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We have decided to discontinue the publication of preprints on our preprint server end of 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.
On properties of the asymptotic expansion of the heat trace for the N/D problem
J. Stuart Dowker, Peter B. Gilkey and Klaus KirstenAbstract
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:
- 05.11.00
- Published:
- 05.11.00
- MSC Codes:
- 58G25