Rigorous numerics for NLS: bound states, spectra, and controllability
Dynamical Systems
2013-10-25 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1310.6531,
title = {Rigorous numerics for NLS: bound states, spectra, and controllability},
author = {Roberto Castelli and Holger Teismann},
journal= {arXiv preprint arXiv:1310.6531},
year = {2013}
}
Comments
30 pages, 2 figures