The Neumann Laplacian of a Jelly Roll

Barry Simon

Type: Article

Publication Date: 1992-03-01

Citations: 12

DOI: https://doi.org/10.2307/2159405

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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Works Cited by This (2)

Action	Title	Year	Authors
+	Spectral properties of Neumann Laplacian of horns	1992	E. B. Davies Barry Simon
+	The essential spectrum of Neumann Laplacians on some bounded singular domains	1991	Rainer Hempel Luis Seco Barry Simon