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)

Text DIAS-STP-84-15.pdf Download (1MB)

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:	20 Dec 2022 09:02
URI:	https://dair.dias.ie/id/eprint/860

Actions (login required)

View Item

Downloads