Luis A. Cortés-Vega, "A note on resonant frequencies for a system of elastic wave equations", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 457097, 14 pages, 2004. https://doi.org/10.1155/S0161171204303248
A note on resonant frequencies for a system of elastic wave equations
We present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. Our approach follows techniques similar to those in Cortés-Vega (2003). The proposed technique relies on a stationary approach of resonant frequencies, that is, the poles of the analytic continuation of the solution.
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