2021
DOI: 10.48550/arxiv.2108.07676
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Spectral enclosures for the damped elastic wave equation

Abstract: In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lamé operators with non self-adjoint perturbations, we provide quantitative bounds on the location of the point spectrum in terms of suitable norms of the damping coefficient.

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