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arXiv · 1610.09196

Controllability of quasi-linear Hamiltonian NLS equations

Pietro Baldi·Emanuele Haus·Riccardo Montalto
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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-H\"ormander implicit function theorem as a black box.

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Pietro Baldi, Emanuele Haus, Riccardo Montalto. 2016-10-28. Controllability of quasi-linear Hamiltonian NLS equations. https://arxiv.org/abs/1610.09196

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