4 papers
Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra
Simon Becker, Federica Gregorio, Delio Mugnolo
We analyze properties of semigroups generated by Schrödinger operators or polyharmonic operators , on metric graphs both on -spaces and spaces of continuous fu…
Some results on second-order elliptic operators with polynomially growing coefficients in -spaces
Sallah Eddine Boutiah, Loredana Caso, Federica Gregorio +1
In this paper we study minimal realizations in of the second order elliptic operator \begin{equation*} { A_{b,c}} := (1+|x|^α)Δ+ b|x|^{α-2}x\cdot\nabla - c |x|^…
Higher order operators on networks: hyperbolic and parabolic theory
Federica Gregorio, Delio Mugnolo
We study higher-order elliptic operators on one-dimensional ramified structures (networks). We introduce a general variational framework for fourth-order operators that allows us t…
On Lennard-Jones-type potentials on the half-line
Federica Gregorio, Joachim Kerner
In this paper we study a particle under the influence of a Lennard-Jones potential moving in a simple quantum wire modelled by the positive half-line. Despite its physical signific…