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math.AP2026

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…

math.AP2025

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…

math.AP2025

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…