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arXiv · 2108.07676

Spectral enclosures for the damped elastic wave equation

Biagio Cassano·Lucrezia Cossetti·Luca Fanelli
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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 Lam\'e 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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Biagio Cassano, Lucrezia Cossetti, Luca Fanelli. 2021-08-17. Spectral enclosures for the damped elastic wave equation. https://arxiv.org/abs/2108.07676

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