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arXiv · 2303.09625

Controllability of quasi-linear Hamiltonian Schr\"odinger equations on tori

Felice Iandoli·Jingrui Niu
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Abstract

We prove exact controllability for quasi-linear Hamiltonian Schr\"odinger equations on tori of dimension greater or equal then two. The result holds true for sufficiently small initial conditions satisfying natural minimal regularity assumptions, provided that the region of control satisfies the geometric control condition.

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Felice Iandoli, Jingrui Niu. 2023-03-16. Controllability of quasi-linear Hamiltonian Schr\"odinger equations on tori. https://arxiv.org/abs/2303.09625

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