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A spectral study of an infinite axisymmetric elastic layer
Published online by Cambridge University Press: 15 April 2002
Abstract
We present here a theoretical study of eigenmodes in axisymmetric elastic layers. The mathematical modelling allows us to bring this problem to a spectral study of a sequence of unbounded self-adjoint operators An, $n\in \mathbb{N}$, in a suitable Hilbert space. We show that the essential spectrum of An is an interval of type $[\gamma,+\infty[$ and that, under certain conditions on the coefficients of the medium, the discrete spectrum is non empty.
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 5 , September 2001 , pp. 849 - 863
- Copyright
- © EDP Sciences, SMAI, 2001
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