Examples of embedded eigenvalues for the Dirichlet Laplacian in perturbed waveguides

摘要

AbstractIt is shown that there exist domains Ω ⊂ ℝN, which outside of some ball coincide with the strip ℝN− 1× (0, π) and for which the Dirichlet Laplacian – Δ has eigenvalues within the subinterval (1, 4) of the essential sp