Spectral enclosures for the damped elastic wave equation
Spectral Theory
2021-08-18 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2108.07676,
title = {Spectral enclosures for the damped elastic wave equation},
author = {Biagio Cassano and Lucrezia Cossetti and Luca Fanelli},
journal= {arXiv preprint arXiv:2108.07676},
year = {2021}
}