On the resonances of the Laplacian on waveguides

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dc.creatorEdward, Julian
dc.date2001-09-21
dc.date.accessioned2026-07-07T04:28:39Z
dc.date.available2026-07-07T04:28:39Z
dc.descriptionThe resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed waveguides. An upper bound on the number of resonances near the physical plane is proven. In the absence of resonances, an upper bound is proven for the localised resolvent. This is then used to prove that the existence of a quasimode whose asymptotics is bounded away from the thresholds implies the existence of resonances converging to the real axis.
dc.identifierhttps://arxiv.org/abs/math-ph/0109022
dc.identifierhttp://arxiv.org/abs/math-ph/0109022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56867
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35P25; 81U99; 76Q05; 58J50
dc.titleOn the resonances of the Laplacian on waveguides
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