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The Neumann Laplacian on Generalized Ridged Domains

✍ Scribed by David E. Edmunds; Robert M. Kauffman

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
526 KB
Volume
176
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We show that for many of the bounded generalized ridged domains of Evans and Harris, all reasonable definitions of the Neumann Laplacian coincide. In particular, this shows that the lack of discreteness of the spectrum of such Laplacians is inherent, rather than an artifact of the definition.

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