87 citations · 99 across the 7 of their papers we have counts for
7 papers
Spectrum of the Maxwell Equations for a Flat Interface between Homogeneous Dispersive Media
Malcolm Brown, Tomáš Dohnal, Michael Plum +1
The paper determines and classifies the spectrum of a non-self-adjoint operator pencil generated by the time-harmonic Maxwell problem with a nonlinear dependence on the frequency f…
The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval
B. Malcolm Brown, Karl Michael Schmidt, Stephen P. Shipman +1
For the Schrödinger equation on a finite -interval, there is defined an "asymmetry function" , which is entire of order and type in…
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…
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…
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…