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math.DG2026
The Lie algebra generated by gradient vector fields
Bettina Kazandjian, Omar Mohsen, Eugenio Pozzoli
Let be a smooth compact manifold, and a smooth non-degenerate symmetric bilinear form on . We prove that every smooth vector field can be written as a finite linear com…
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 potenti…
math.OC2026
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…