Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500384 | Physica D: Nonlinear Phenomena | 2016 | 16 Pages |
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 (Beauchard et al., 2015) of the local exact controllability of NLS.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Roberto Castelli, Holger Teismann,