optimal bilinear control of nonlinear hartree equation in r^3
;Binhua Feng;Jiayin Liu;Jun Zheng
icsoft 2006 - 1st international conference on software and data technologies, proceedings2013Vol. 2013pp. 1-14
121
feng2013electronicoptimal
Abstract
This article concerns with the optimal bilinear control for the nonlinear Hartree equation in $mathbb{R}^3$, which describes the mean-field limit of many-body quantum systems. We show the well-posedness of the problem and the existence of an optimal control. In addition, we derive the first-order optimality system.