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

Autor:	Castelli, Roberto, Teismann, Holger
Rok vydání:	2013
Předmět:	Mathematics - Dynamical Systems Mathematical Physics 65G99 35Q55 35Q93
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.6531 Zobrazit plný text záznamu View this record from Arxiv