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A Uniform Pole-Subtracted Limiting Absorption Principle for High-Contrast Elastic Resonator Clusters

Gao, Yixian
arXiv (All) · Papers
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analysis-of-pdes
We establish a uniform pole-subtracted limiting absorption principle for a fixed cluster of \(N\) disjoint three-dimensional high-contrast elastic resonators when the contrast tends to infinity and \(ω=δ^{1/2}τ\) approaches the zero threshold. The exterior Dirichlet-to-Neumann map and a variational
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