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A relativistic Hardy-type inequality with minimisers
Luca Fanelli, Fabio Pizzichillo
In this paper, we prove a sharp, weighted Hardy-type inequality for the Dirac operator. A key feature of our result is that the inequality is not only sharp but also attained, and…
Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian
Luca Fanelli, Haruya Mizutani, Luz Roncal +1
We prove uniform resolvent estimates in weighted -spaces for radial solutions of the sublaplacian on the Heisenberg group . The proofs are based on…
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…
On uniqueness of solutions to the surface electromigration equation
Lucrezia Cossetti, Luca Fanelli, Felipe Linares
In this paper we investigate on uniqueness properties of solutions to the surface electromigration (SEM) equation, which is a generalisation of the more classical Zakharov-Kuznetso…