Rigorous numerics for NLS: Bound states, spectra, and controllability
2016
In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schrodinger equation (NLS); specifically, to determining bound-state solutions and establishing certain spectral properties of the linearization. Since the results are rigorous, they can be used to complete a recent analytical proof (Beauchard et al., 2015) of the local exact controllability of NLS.
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