Optimal bilinear control of nonlinear Schr\"{o}dinger equations with singular potentials
Analysis of PDEs
2013-01-21 v1
Abstract
In this paper, we consider an optimal bilinear control problem for the nonlinear Schr\"{o}dinger equations with singular potentials. We show well-posedness of the problem and existence of an optimal control. In addition, the first order optimality system is rigorously derived. Our results generalize the ones in \cite{Sp} in several aspects.
Keywords
Cite
@article{arxiv.1301.4335,
title = {Optimal bilinear control of nonlinear Schr\"{o}dinger equations with singular potentials},
author = {Binhua Feng and Dun Zhao and Pengyu Chen},
journal= {arXiv preprint arXiv:1301.4335},
year = {2013}
}
Comments
14 pages