A. A. Kiselev, B. S. Pavlov, “Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure”, TMF, 1994, Volume 99, Number 1,Pages <nobr>3

This article is cited in 2 papers

Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure

A. A. Kiselev^a, B. S. Pavlov^b

^a Saint-Petersburg State University
^b V. A. Fock Institute of Physics, Saint-Petersburg State University

Abstract: A class of regions in which the Laplacian for the Neumann problem has an essential spectrum is considered. The connection between the geometrical characteristics of the region and spectral properties of the Laplacian for the Neumann problem is studied in specific examples

Received: 15.04.1993