activity
20132026
most citedGeneral -shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

24 citations · 73 across the 18 of their papers we have counts for

collaborators

21 papers

math.AP2026

On the Gevrey well-posedness for weakly hyperbolic biwave type equations

Biagio Cassano, Giovanni Taglialatela

We study the Cauchy problem for biwave type equations with coefficients depending only on time. Assuming regularity of the principal symbol and suitable Levi condit…

math.AP2025

On the strong unique continuation property for the Dirac operator

Biagio Cassano

In [DO99,KY99], the strong unique continuation property from the origin is established for -solutions to the massless Dirac differential inequality $|{D}_n u | \leq \fra…

math.AP2023

Unique Continuation Properties from one time for hyperbolic Schrödinger equations

Juan Antonio Barceló, Biagio Cassano, Luca Fanelli

In this paper, we investigate properties of unique continuation for hyperbolic Schrödinger equations with time-dependent complex-valued electric fields and time-independent real ma…

math.AP2022

Dirac-Coulomb Operators with Infinite Mass Boundary Conditions in Sectors

Biagio Cassano, Matteo Gallone, Fabio Pizzichillo

We investigate the properties of self-adjointness of a two-dimensional Dirac operator on an infinite sector with infinite mass boundary conditions and in presence of a Coulomb-type…

math.AP2022

Self-adjointness for the MIT bag model on an unbounded cone

Biagio Cassano, Vladimir Lotoreichik

We consider the massless Dirac operator with the MIT bag boundary conditions on an unbounded three-dimensional circular cone. For convex cones, we prove that this operator is self-…

math.SP2021

Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group

Biagio Cassano, Valentina Franceschi, David Krejcirik +1

In this paper we introduce a notion of magnetic field in the Heisenberg group and we study its influence on spectral properties of the corresponding magnetic (sub-elliptic) Laplaci…