Trapped modes for the elastic plate with a perturbation of Young's modulus
Mathematical Physics
2007-05-23 v1 math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0609032,
title = {Trapped modes for the elastic plate with a perturbation of Young's modulus},
author = {Clemens Foerster},
journal= {arXiv preprint arXiv:math-ph/0609032},
year = {2007}
}
Comments
24 pages