We prove internal controllability in arbitrary time, for small data, for quasi-linear Hamiltonian NLS equations on the circle. We use a procedure of reduction to constant coefficients up to order zero and HUM method to prove the controllability of the linearized problem. Then we apply a Nash–Moser–Hörmander implicit function theorem as a black box.
Baldi, P., Haus, E., Montalto, R. (2018). Controllability of quasi-linear Hamiltonian NLS equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 264(3), 1786-1840 [10.1016/j.jde.2017.10.009].
Controllability of quasi-linear Hamiltonian NLS equations
Baldi, Pietro;Haus, Emanuele;MONTALTO, RICCARDO
2018-01-01
Abstract
We prove internal controllability in arbitrary time, for small data, for quasi-linear Hamiltonian NLS equations on the circle. We use a procedure of reduction to constant coefficients up to order zero and HUM method to prove the controllability of the linearized problem. Then we apply a Nash–Moser–Hörmander implicit function theorem as a black box.File in questo prodotto:
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