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Examples of embedded eigenvalues for the Dirichlet Laplacian in perturbed waveguides

✍ Scribed by K. J. Witsch

Publisher: John Wiley and Sons
Year: 1990
Tongue: English
Weight: 153 KB
Volume: 12
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670120107

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✦ Synopsis

Abstract

It is shown that there exist domains Ω ⊂ ℝ^N^, which outside of some ball coincide with the strip ℝ^N − 1^ × (0, π) and for which the Dirichlet Laplacian – Δ has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, ∞).

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