28 citations · 59 across the 10 of their papers we have counts for
10 papers
Higher order Schrödinger operators
Federica Gregorio, Chiara Spina, Cristian Tacelli
In this paper we consider higher order Schrödinger operators where denotes a fourth order operator and a suitable potential. We initiate our a…
Fourth-order Schrödinger type operator with unbounded coefficients in
Federica Gregorio, Cristian Tacelli
In this paper we study generation results in for the fourth order Schrödinger type operator with unbounded coefficients of the form where…
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…
Bi-Laplacians on graphs and networks
Federica Gregorio, Delio Mugnolo
We study the differential operator acting on a connected network along with , the square of the discrete Laplacian acting on a conn…
Weighted Hardy's inequalities and Kolmogorov-type operators
Anna Canale, Federica Gregorio, Abdelaziz Rhandi +1
We give general conditions to state the weighted Hardy inequality \[ c\int_{\mathbb{R}^N}\frac{φ^2} {|x|^2}dμ\leq\int_{\mathbb{R}^N}|\nabla φ|^2 dμ+C\int_{\mathbb{R}^N} φ^2dμ,\quad…
Elliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in -spaces
Simona Fornaro, Federica Gregorio, Abdelaziz Rhandi
In this paper we give sufficient conditions on and ensuring that the space of test functions is a core for the operator $$L_0…
Fourth-order Schrödinger type operator with singular potentials
Federica Gregorio, Sebastian Mildner
In this paper we study the biharmonic operator perturbed by an inverse fourth-order potential. In particular, we consider the operator where is any cons…