8 citations · 23 across the 17 of their papers we have counts for
19 papers
Bilinear controllability for the linear KdV-Schr{ö}dinger equation
Rémi Buffe, Alessandro Duca, Hugo Parada
We study the controllability of a linear KdV-Schr{ö}dinger equation on the one-dimensional torus via purely imaginary bilinear controls. Considering controls spanning a suitable fi…
local exact controllability of some one-dimensional bilinear Schr{ö}dinger equations
Nabile Boussaïd, Alessandro Duca
The local exact controllability of the one-dimensional bilinear Schr{ö}dinger equation with Dirichlet boundary conditions has been extensively studied in subspaces of H 3 since the…
On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories
Alessandro Duca, Eugenio Pozzoli, Cristina Urbani
In this work we analyse the small-time reachability properties of a nonlinear parabolic equation, by means of a bilinear control, posed on a torus of arbitrary dimension . Under…
Small-time estimates for a real moment problem with two-term Weyl spectral law
Rémi Buffe, Alessandro Duca
In this work, we first study the solvability of moment problems involving real exponentials and provide explicit estimates of the associated control cost. The result holds when the…
Small-time controllability for the nonlinear Schrödinger equation on via bilinear electromagnetic fields
Alessandro Duca, Eugenio Pozzoli
We address the small-time controllability problem for a nonlinear Schrödinger equation (NLS) on in the presence of magnetic and electric external fields. We choose a…
Control of the Schrödinger equation by slow deformations of the domain
Alessandro Duca, Romain Joly, Dmitry Turaev
The aim of this work is to study the controllability of the Schrödinger equation \begin{equation}\label{eq_abstract} i\partial_t u(t)=-Δu(t)~~~~~\text{ on }Ω(t) \tag{} \end{e…