On the heat equation and the spectrum of the Dirichlet Laplacian for spiral regions in R^2

van den Burg, M. and Lewis, J. T. (1984) On the heat equation and the spectrum of the Dirichlet Laplacian for spiral regions in R^2. (Preprint)

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Abstract

We determine the asymptotic behaviour of trace (e^(tΔ_S)) as t ↓ 0 where Δ_S is the Dirichlet Laplacian for a class of spiral regions in R^2.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 06 Jul 2018 13:01
Last Modified: 24 Jul 2018 13:38
URI: http://dair.dias.ie/id/eprint/860

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