26 citations · 44 across the 14 of their papers we have counts for
3 papers · 1 filter
Spectral enclosures for the damped elastic wave equation
Biagio Cassano, Lucrezia Cossetti, Luca Fanelli
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 ope…
Improved Hardy-Rellich inequalities
Biagio Cassano, Lucrezia Cossetti, Luca Fanelli
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a non-trivial angular perturbation of the free operator typically improves the inequ…
Eigenvalue bounds and spectral stability of Lamé operators with complex potentials
Biagio Cassano, Lucrezia Cossetti, Luca Fanelli
This paper is devoted to providing quantitative bounds on the location of eigenvalues, both discrete and embedded, of non self-adjoint Lamé operators of elasticity in…