ESSENTIAL SPECTRUM OF THE LAPLACIAN FOR THE NEUMANN PROBLEM IN A MODEL REGION OF COMPLICATED STRUCTURE

Authors
KISELEV AA PAVLOV BS
Citation
Aa. Kiselev et Bs. Pavlov, ESSENTIAL SPECTRUM OF THE LAPLACIAN FOR THE NEUMANN PROBLEM IN A MODEL REGION OF COMPLICATED STRUCTURE, Theoretical and mathematical physics, 99(1), 1994, pp. 383-395
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
99
Issue
1
Year of publication
1994
Pages
383 - 395
Database
ISI
SICI code
0040-5779(1994)99:1<383:ESOTLF>2.0.ZU;2-P
Abstract
A class of regions in which the Laplacian for the Neumann problem has an essential spectrum is considered. The connection between the geomet rical characteristics of the region and spectral properties of the Lap lacian for the Neumann problem is studied in specific examples.