Open AccessSpectral enclosures for the damped elastic wave equation
Author(s) -
Biagio Cassano,
Lucrezia Cossetti,
Luca Fanelli
Publication year - 2022
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2022052
Subject(s) - eigenvalues and eigenvectors , wave equation , mathematical analysis , spectrum (functional analysis) , damped wave , mathematics , spectral analysis , point (geometry) , physics , mathematical physics , quantum mechanics , geometry , spectroscopy
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.