58 citations · 120 across the 29 of their papers we have counts for
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math.OC2024
Small-time approximate controllability of bilinear Schrödinger equations and diffeomorphisms
Karine Beauchard, Eugenio Pozzoli
We consider Schrödinger PDEs, posed on a boundaryless Riemannian manifold , with bilinear control. We propose a new method to prove the global -approximate controllability.…
math.OC2024
Examples of small-time controllable Schrödinger equations
Karine Beauchard, Eugenio Pozzoli
A variety of physically relevant bilinear Schrödinger equations are known to be approximately controllable in large times. There are however examples which are approximately contro…
math.NA2024
Control theory and splitting methods
Karine Beauchard, Adrien Busnot Laurent, Frédéric Marbach
Our goal is to highlight some deep connections between numerical splitting methods and control theory. We consider evolution equations of the form , wher…