26 citations · 44 across the 14 of their papers we have counts for
7 papers · 1 filter
On the point spectrum of electromagnetic Dirac operators
Naiara Arrizabalaga, Lucrezia Cossetti, Matias Morales
In this work, we develop the method of multipliers for electromagnetic Dirac operators and establish sufficient conditions on the magnetic and electric fields that guarantee the ab…
The virial theorem and the method of multipliers in spectral theory
Lucrezia Cossetti, David Krejcirik
We provide a link between the virial theorem in functional analysis and the method of multipliers in theory of partial differential equations. After giving a physical insight into…
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…
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…
Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
Lucrezia Cossetti, Luca Fanelli, David Krejcirik
By developing the method of multipliers, we establish sufficient conditions on the magnetic field and the complex, matrix-valued electric potential, which guarantee that the corres…
Bounds on eigenvalues of perturbed Lamé operators with complex potentials
Lucrezia Cossetti
Several recent papers have focused their attention in proving the correct analogue to the Lieb-Thirring inequalities for non self-adjoint operators and in finding bounds on the dis…
Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
Lucrezia Cossetti, David Krejcirik
By developing the method of multipliers, we establish sufficient conditions which guarantee the total absence of eigenvalues of the Laplacian in the half-space, subject to variable…