77 citations · 284 across the 43 of their papers we have counts for
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Non self-adjoint perturbations of the Heisenberg sublaplacian
Luca Fanelli, Luz Roncal, Nico Michele Schiavone
We prove uniform resolvent estimates in weighted -spaces for the sublaplacian on the Heisenberg group . The proof are based on multiplier methods,…
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…
Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators
Piero D'Ancona, Luca Fanelli, David Krejcirik +1
This note aims to give prominence to some new results on the absence and localization of eigenvalues for the Dirac and Klein-Gordon operators, starting from known resolvent estimat…
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…
Eigenvalue bounds for non-selfadjoint Dirac operators
Piero D'Ancona, Luca Fanelli, Nico Michele Schiavone
In this work we prove that the eigenvalues of the -dimensional massive Dirac operator , , perturbed by a possibly non-Hermitian potential , are loca…
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…