The Neumann Laplacian of a jelly roll-Reference-Cited by-同舟云学术

The Neumann Laplacian of a jelly roll

Published:1992 Issue:3 Volume:114 Page:783-785
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Simon Barry

Abstract

We consider the Laplacian with Neumann boundary conditions of a bounded connected region obtained by removing a suitable infinite spiral from an annulus. We show that the spectrum has an absolutely continuous component.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-03/S0002-9939-1992-1076578-X/S0002-9939-1992-1076578-X.pdf

Reference4 articles.

1. Spectral properties of Neumann Laplacian of horns;Davies, E. B.;Geom. Funct. Anal.,1992

2. The essential spectrum of Neumann Laplacians on some bounded singular domains;Hempel, Rainer;J. Funct. Anal.,1991

3. V. Jaksic, S. Molchhonov, and B. Simon, Eigenvalue asymptotics of the Neumann Laplacian of the manifolds and regions with cusps, in preparation.

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