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

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

2006-09-10

arxiv.org/abs/math-ph/0609032v1

Physics

Mathematical Physics

24 pages

Scientific paper

We 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.

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