24 citations · 73 across the 18 of their papers we have counts for
6 papers · 1 filter
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group
Biagio Cassano, Valentina Franceschi, David Krejcirik +1
In this paper we introduce a notion of magnetic field in the Heisenberg group and we study its influence on spectral properties of the corresponding magnetic (sub-elliptic) Laplaci…
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…
Mass Propagation for Electromagnetic Schrödinger Evolutions
Juan Antonio Barceló, Biagio Cassano, Luca Fanelli
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and a time-in…
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…
General -shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
Biagio Cassano, Vladimir Lotoreichik, Albert Mas +1
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed…
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…