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math.AP2026
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…
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…
math.AP2025
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 th…