Spectral enclosures for the damped elastic wave equation

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Date
2022
Author
Cassano, Biagio
Cossetti, Lucrezia
Fanelli, Luca
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Mathematics in Engineering 4(6) : 1-10 (2022)
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http://hdl.handle.net/10810/56750
Abstract
[EN] 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 Lame 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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© 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
Except where otherwise noted, this item's license is described as © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)