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arXiv · 1310.6531

Rigorous numerics for NLS: bound states, spectra, and controllability

Roberto Castelli·Holger Teismann
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Abstract

In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schrödinger 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 [6] of the local exact controllability of NLS.

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Roberto Castelli, Holger Teismann. 2013-10-24. Rigorous numerics for NLS: bound states, spectra, and controllability. https://arxiv.org/abs/1310.6531

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