Controllability of NLS in the vicinity of solitary wave solutions
Optimization and Control
2007-05-23 v1 Analysis of PDEs
Abstract
Local exact controllability of the 1D NLS (subject to zero boundary conditions) with distributed control is shown to hold in a --neighbourhood of the nonlinear ground state. The Hilbert Uniqueness Method (HUM), due to J.-L. Lions, is applied to the linear control problem that arises by linearization around the ground state. The application of HUM crucially depends on the spectral properties of the linearized NLS operator which are given in detail.
Keywords
Cite
@article{arxiv.math/0608135,
title = {Controllability of NLS in the vicinity of solitary wave solutions},
author = {Horst Lange and Holger Teismann},
journal= {arXiv preprint arXiv:math/0608135},
year = {2007}
}
Comments
27 pages