Existence of eigenvalues of a linear operator pencil in a curved waveguide -- localized shelf waves on a curved coast

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dc.creatorJohnson, E R
dc.creatorLevitin, Michael
dc.creatorParnovski, Leonid
dc.date2004-09-29
dc.date.accessioned2026-07-07T05:12:41Z
dc.date.available2026-07-07T05:12:41Z
dc.descriptionThe study of the possibility of existence of the non-propagating, 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 the methods developed in the setting of the waveguide trapped mode problem, we show that such CSWs exist for a wide class of coast curvature and depth profiles.
dc.description21 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0409575
dc.identifierhttp://arxiv.org/abs/math/0409575
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72670
dc.subjectSpectral Theory
dc.subject35P05;35P15;86A05;76U05
dc.titleExistence of eigenvalues of a linear operator pencil in a curved waveguide -- localized shelf waves on a curved coast
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