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.

Keywords

• damped elastic wave equation
• lamé operators
• non self-adjoint operators
• spectral enclosures