The Neumann Laplacian of a jelly roll

Barry Simon

Type: Article

Publication Date: 1992-01-01

Citations: 45

DOI: https://doi.org/10.1090/s0002-9939-1992-1076578-x

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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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+	Spectral properties of Neumann Laplacian of horns	1992	E. B. Davies Barry Simon
+	Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps	1992	Vojkan Jakšić S. A. Molčanov Barry Simon
+	The essential spectrum of Neumann Laplacians on some bounded singular domains	1991	Rainer Hempel Luis Seco Barry Simon