Trapped Modes for an Elastic Plate with a Perturbation of Young's Modulus |
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| Authors: | Clemens Förster |
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| Institution: | 1. Department of Mathematics and Physics , Institute for Analysis, Dynamics and Modelling, University Stuttgart , Stuttgart, Germany foerster@mathematik.uni-stuttgart.de |
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| Abstract: | We consider a linear elastic plate with stress-free boundary conditions and zero 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. |
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| Keywords: | Elasticity operator Trapped modes |
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