THE NEUMANN LAPLACIAN ON GENERALIZED RIDGED DOMAINS

Authors
EDMUNDS DE KAUFFMAN RM
Citation
De. Edmunds et Rm. Kauffman, THE NEUMANN LAPLACIAN ON GENERALIZED RIDGED DOMAINS, Mathematische Nachrichten, 176, 1995, pp. 55-64
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
176
Year of publication
1995
Pages
55 - 64
Database
ISI
SICI code
0025-584X(1995)176:<55:TNLOGR>2.0.ZU;2-N
Abstract
We show that for many of the bounded generalized ridged domains of Eva ns and Harris, all reasonable definitions of the Neumann Laplacian coi ncide. In particular, this shows that the lack of discreteness of the spectrum of such Laplacians is inherent, rather than an artifact of th e definition.