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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
63/2005

Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions

Michiel van den Berg, Peter B. Gilkey, Klaus Kirsten and Vladimir Kozlov

Abstract

The existence of a full asymptotic expansion for the heat content asymptotics of an operator of Laplace type with classical Zaremba boundary conditions on a smooth manifold is established. The first three coefficients in this asymptotic expansion are determined in terms of geometric invariants; partial information is obtained about the fourth coefficient.

Received:
Jun 17, 2005
Published:
Jun 17, 2005
MSC Codes:
58J35, 35P99
Keywords:
heat content asymptotics, n/d problem, zaremba problem

Related publications

inJournal
2007 Repository Open Access
Michiel van den Berg, Peter B. Gilkey, Klaus Kirsten and Vladimir, Kozlov

Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions

In: Potential analysis, 26 (2007) 3, pp. 225-254