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Existence of Eigenvalues of a Linear Operator Pencil in a Curved Waveguide---Localized Shelf Waves on a Curved Coast
The question of the existence of nonpropagating, trapped continental shelf waves (CSWs) along curved coasts reduces mathematically to a spectral problem for a self-adjoint operator pencil in a curved strip. Using methods developed for the waveguide trapped mode problem, we show that such CSWs exist for a wide class of …