87 citations · 96 across the 15 of their papers we have counts for
20 papers
Essential spectral geometry of the Maxwell system in unbounded domains
Francesco Ferraresso, Marco Marletta
We analyse the essential spectrum of acting on divergence-free vector fields in unbounded domains of . We…
No Spectral Invisibility for Dissipative Barrier Truncations in Any Dimension
Matthew J. Colbrook, Marco Marletta
The dissipative barrier method suppresses spectral pollution, but whether it can itself conceal genuine spectral points has remained open. Known as the graveyard problem in computa…
The pseudospectrum of an operator with Bessel-type singularities
Lyonell Boulton, Marco Marletta
In this paper we examine the asymptotic structure of the pseudospectrum of the singular Sturm-Liouville operator subject to periodic boundary…
Spectral analysis and domain truncation methods for Maxwell's equations
Sabine Boegli, Francesco Ferraresso, Marco Marletta +1
We analyse how the spectrum of the anisotropic Maxwell system with bounded conductivity on a Lipschitz domain is approximated by domain truncation. First we prove a new non-convex…
Spectral properties of the inhomogeneous Drude-Lorentz model with dissipation
Francesco Ferraresso, Marco Marletta
We establish spectral enclosures and spectral approximation results for the inhomogeneous lossy Drude-Lorentz system with purely imaginary poles, in a possibly unbounded Lipschitz…
On the complexity of the inverse Sturm-Liouville problem
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
This paper explores the complexity associated with solving the inverse Sturm-Liouville problem with Robin boundary conditions: given a sequence of eigenvalues and a sequence of nor…
Universal algorithms for computing spectra of periodic operators
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
Schrödinger operators with periodic (possibly complex-valued) potentials and discrete periodic operators (possibly with complex-valued entries) are considered, and in both cases th…
Computing the Sound of the Sea in a Seashell
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive a…
Computing Scattering Resonances
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
The question of whether it is possible to compute scattering resonances of Schrödinger operators - independently of the particular potential - is addressed. A positive answer is gi…
Essential numerical ranges for linear operator pencils
Sabine Bögli, Marco Marletta
We introduce concepts of essential numerical range for the linear operator pencil . In contrast to the operator essential numerical range, the pencil essential numer…
The essential numerical range for unbounded linear operators
Sabine Bögli, Marco Marletta, Christiane Tretter
We introduce the concept of essential numerical range for unbounded Hilbert space operators and study its fundamental properties including possible equivalent char…
Essential spectrum for Maxwell's equations
Giovanni S. Alberti, Malcolm Brown, Marco Marletta +1
We study the essential spectrum of operator pencils associated with anisotropic Maxwell equations, with permittivity , permeability and conductivity , on finite…
Uniqueness for an inverse problem in electromagnetism with partial data
Malcolm Brown, Marco Marletta, Juan Manuel Reyes
A uniqueness result for the recovery of the electric and magnetic coefficients in the time-harmonic Maxwell equations from local boundary measurements is proven. No special geometr…
On the stability of a forward-backward heat equation
Lyonell Boulton, Marco Marletta, David Rule
In this paper we examine spectral properties of a family of periodic singular Sturm-Liouville problems which are highly non-self-adjoint but have purely real spectrum. The problem…
On a class of non-self-adjoint periodic boundary value problems with discrete real spectrum
Lyonell Boulton, Michael Levitin, Marco Marletta
In [arXiv:0801.0172] we examined a family of periodic Sturm-Liouville problems with boundary and interior singularities which are highly non-self-adjoint but have only real eigenva…
The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum
Malcolm Brown, James Hinchcliffe, Marco Marletta +2
In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction…
On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities
Lyonell Boulton, Michael Levitin, Marco Marletta
We prove that the spectrum of a certain PT-symmetric periodic problem is purely real. Our results extend to a larger class of potentials those recently found by Brian Davies [math.…
Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
Malcolm Brown, Marco Marletta, Serguei Naboko +1
Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses, we consider the Weyl M-function of extensions of the operators. The extensi…
A simple method of calculating eigenvalues and resonances in domains with infinite regular ends
Michael Levitin, Marco Marletta
A new approach is presented for the solution of spectral problems on infinite domains with regular ends, which avoids the need to solve boundary value problems for many trial value…
Convergence of regular approximations to the spectra of singular fourth order Sturm-Liouville problems
Malcolm Brown, Leon Greenberg, Marco Marletta
We prove some new results which justify the use of interval truncation as a means of regularising a singular fourth order Sturm-Liouville problem near a singular endpoint. Of parti…