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Brownian motion and eigenvalues for the Dirichlet Laplacian

✍ Scribed by S. E. Graversen; Murali Rao


Book ID
110559193
Publisher
Springer-Verlag
Year
1990
Tongue
French
Weight
368 KB
Volume
203
Category
Article
ISSN
0025-5874

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Examples of embedded eigenvalues for the
✍ K. J. Witsch πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract It is shown that there exist domains Ξ© βŠ‚ ℝ^__N__^, which outside of some ball coincide with the strip ℝ^__N__ βˆ’ 1^ Γ— (0, Ο€) and for which the Dirichlet Laplacian – Ξ” has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, ∞).