Trapped modes for the elastic plate with a perturbation of Young's modulus

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dc.creatorFoerster, Clemens
dc.date2006-09-10
dc.date.accessioned2026-07-07T07:24:20Z
dc.date.available2026-07-07T07:24:20Z
dc.descriptionWe consider a linear elastic plate with stress-free boundary conditions in the limit of vanishing Poisson coefficient. We prove that under a local change of Young's modulus infinitely many eigenvalues arise in the essential spectrum which accumulate at a positive threshold. We give estimates on the accumulation rate and on the asymptotical behaviour of the eigenvalues.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0609032
dc.identifierhttp://arxiv.org/abs/math-ph/0609032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116310
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35P20
dc.titleTrapped modes for the elastic plate with a perturbation of Young's modulus
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