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arXiv:1310.6531 [math.DS]AbstractReferencesReviewsResources

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

Roberto Castelli, Holger Teismann

Published 2013-10-24Version 1

In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schr\"odinger 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.

Comments: 30 pages, 2 figures
Categories: math.DS, math-ph, math.MP
Subjects: 65G99, 35Q55, 35Q93
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