From the 1 of 10 linked papers with an AI index.
10 papers
The Lie algebra generated by gradient vector fields
Bettina Kazandjian, Omar Mohsen, Eugenio Pozzoli
The paper shows that on any smooth compact manifold with a non-degenerate symmetric bilinear form, every smooth vector field can be expressed as a finite linear combination of iter…
Approximate controllability in small times of bilinear Schr{ö}dinger equations with magnetic drift
Eugenio Pozzoli
We study the small-time approximate controllability of bilinear Schr{ö}dinger equations, where the drift is a magnetic Schr{ö}dinger operator and the control is an electric poten…
Approximate controllability of a bilinear wave equation and minimum time
Karine Beauchard, Thomas Perrin, Eugenio Pozzoli
We study the global approximate controllability (GAC) of a Klein-Gordon wave equation, posed on the torus of arbitrary dimension , with bilinear c…
Small-time approximate controllability of the logarithmic Schr\''dinger equation
Karine Beauchard, Rémi Carles, Eugenio Pozzoli
We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on or . We prove their small-time global -approxim…
Orbits and attainable Hamiltonian diffeomorphisms of mechanical Liouville equations
Bettina Kazandjian, Eugenio Pozzoli, Mario Sigalotti
We study the approximate controllability problem for Liouville transport equations along a mechanical Hamiltonian vector field. Such PDEs evolve inside the orbit $$\mathcal{O}(Ï_0…
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…